├── .gitignore
├── ExactCover
├── ExactCover 14 5.ipynb
├── ExactCover 4 2.ipynb
├── ExactCover 6 3.ipynb
├── tailassignment_loader.py
└── tailassignment_samples
│ ├── FRCR_11_16_4.txt
│ ├── FRCR_14_24_5.txt
│ ├── FRCR_4_3_2.txt
│ ├── FRCR_6_24_3.txt
│ └── FRCR_8_24_4.txt
├── LICENSE
├── MaxCut
├── CVaR.ipynb
├── ComparisonOptimizers.ipynb
└── ToyExampleQOA.ipynb
├── PortfolioOptimization
├── 4_asset_optimize.ipynb
├── 6_asset_optimize.ipynb
├── 8_asset_optimize.ipynb
├── GeneratePortfolioCases.ipynb
├── asset_loader.py
└── data
│ └── qiskit_finance_seeds.npz
└── README.md
/.gitignore:
--------------------------------------------------------------------------------
1 | # Byte-compiled / optimized / DLL files
2 | __pycache__/
3 | *.py[cod]
4 | *$py.class
5 |
6 | # C extensions
7 | *.so
8 |
9 | # Distribution / packaging
10 | .Python
11 | build/
12 | develop-eggs/
13 | dist/
14 | downloads/
15 | eggs/
16 | .eggs/
17 | lib/
18 | lib64/
19 | parts/
20 | sdist/
21 | var/
22 | wheels/
23 | pip-wheel-metadata/
24 | share/python-wheels/
25 | *.egg-info/
26 | .installed.cfg
27 | *.egg
28 | MANIFEST
29 |
30 | # PyInstaller
31 | # Usually these files are written by a python script from a template
32 | # before PyInstaller builds the exe, so as to inject date/other infos into it.
33 | *.manifest
34 | *.spec
35 |
36 | # Installer logs
37 | pip-log.txt
38 | pip-delete-this-directory.txt
39 |
40 | # Unit test / coverage reports
41 | htmlcov/
42 | .tox/
43 | .nox/
44 | .coverage
45 | .coverage.*
46 | .cache
47 | nosetests.xml
48 | coverage.xml
49 | *.cover
50 | *.py,cover
51 | .hypothesis/
52 | .pytest_cache/
53 |
54 | # Translations
55 | *.mo
56 | *.pot
57 |
58 | # Django stuff:
59 | *.log
60 | local_settings.py
61 | db.sqlite3
62 | db.sqlite3-journal
63 |
64 | # Flask stuff:
65 | instance/
66 | .webassets-cache
67 |
68 | # Scrapy stuff:
69 | .scrapy
70 |
71 | # Sphinx documentation
72 | docs/_build/
73 |
74 | # PyBuilder
75 | target/
76 |
77 | # Jupyter Notebook
78 | .ipynb_checkpoints
79 |
80 | # IPython
81 | profile_default/
82 | ipython_config.py
83 |
84 | # pyenv
85 | .python-version
86 |
87 | # pipenv
88 | # According to pypa/pipenv#598, it is recommended to include Pipfile.lock in version control.
89 | # However, in case of collaboration, if having platform-specific dependencies or dependencies
90 | # having no cross-platform support, pipenv may install dependencies that don't work, or not
91 | # install all needed dependencies.
92 | #Pipfile.lock
93 |
94 | # PEP 582; used by e.g. github.com/David-OConnor/pyflow
95 | __pypackages__/
96 |
97 | # Celery stuff
98 | celerybeat-schedule
99 | celerybeat.pid
100 |
101 | # SageMath parsed files
102 | *.sage.py
103 |
104 | # Environments
105 | .env
106 | .venv
107 | env/
108 | venv/
109 | ENV/
110 | env.bak/
111 | venv.bak/
112 |
113 | # Spyder project settings
114 | .spyderproject
115 | .spyproject
116 |
117 | # Rope project settings
118 | .ropeproject
119 |
120 | # mkdocs documentation
121 | /site
122 |
123 | # mypy
124 | .mypy_cache/
125 | .dmypy.json
126 | dmypy.json
127 |
128 | # Pyre type checker
129 | .pyre/
130 |
--------------------------------------------------------------------------------
/ExactCover/tailassignment_loader.py:
--------------------------------------------------------------------------------
1 | import numpy as np
2 | import os, sys
3 |
4 | def load_FR_CR(filename):
5 |
6 | if not os.path.isfile(filename):
7 | print("File not found.")
8 | raise IOError
9 |
10 | # Matrix in file on format
11 | # C_1: index of ones in row 1 separated by comma
12 | # C_2: index of ones in row 2 ...
13 | # ...
14 | # C_R: index of ones in row R
15 | # best state
16 |
17 | file = np.loadtxt(filename, dtype = str)
18 |
19 | R,F = filename.split('/')[-1].split('_')[1:3]
20 | R,F = int(R), int(F)
21 |
22 | FR = np.zeros((F,R))
23 | CR = np.zeros(R)
24 | best = np.zeros(R)
25 |
26 | for r in range(R):
27 | CR[r] = float(file[r].split(':')[0])
28 | indexes = file[r].split(':')[1].split(',')
29 | for ind in indexes:
30 | FR[int(ind), r ] = 1
31 |
32 | best_str = file[R].split(',')
33 | best = np.array([int(i) for i in best_str])
34 |
35 | return FR, CR, best
36 |
37 | def npy_loader(filename):
38 | """
39 | Loading the examples saved on npy format.
40 |
41 | Parameters
42 | ----------
43 | filename : string
44 | filename
45 |
46 | Returns
47 | -------
48 | FR : array
49 | Constraint matrix
50 | CR : array
51 | Weights
52 |
53 | """
54 | matrix = np.load(filename)
55 |
56 | # The costs are saved in the last column
57 | CR = matrix[-1]
58 | FR = matrix[:-1]
59 |
60 | return FR, CR
61 |
--------------------------------------------------------------------------------
/ExactCover/tailassignment_samples/FRCR_11_16_4.txt:
--------------------------------------------------------------------------------
1 | 5:2,8,9,10,11,15
2 | 8:0,1,3,4,5,6,7,12,13,14
3 | 5:8,9,10,11,15
4 | 2:3,4,13
5 | 4:0,1,2,5,6,7,12,14
6 | 1:0,1,5,6,7,12,14
7 | 4:3,4,7,8,15
8 | 7:0,1,4,12,13,14,15
9 | 3:2,6,9,10,11
10 | 15:3,5
11 | 6:2,6,7,8,9,10,11
12 | 0,0,0,0,0,1,0,1,0,0,1
13 |
--------------------------------------------------------------------------------
/ExactCover/tailassignment_samples/FRCR_14_24_5.txt:
--------------------------------------------------------------------------------
1 | 3:1,3,5,6,8,11,13,15,16,19,21,23
2 | 2:0,2,4,7,9,10,12,14,17,18,20,22
3 | 9:0,2,4,7,8,11,13,15,16,18,20,23
4 | 14:1,3,5,6,9,10,12,14,17,19,21,22
5 | 3:0,2,4,7,9,11,12,15,17,19,21,23
6 | 8:1,3,5,6,8,10,13,14,16,18,20,22
7 | 2:0,2,4,7,9,11,12,14,16,18,20,22
8 | 5:1,3,5,6,8,10,13,15,17,19,21,23
9 | 6:1,3,5,7,9,11,13,15,17,19,20,22
10 | 10:0,2,4,6,8,10,12,14,16,18,21,23
11 | 1:0,2,4,7,9,11,13,15,17,19,21,23
12 | 13:0,2,4,6,8,10,12,14,17,18,20,22
13 | 11:1,3,5,6,9,11,13,14,16,18,20,22
14 | 4:0,2,4,7,9,11,13,15,16,18,20,23
15 | 1,1,0,0,0,0,0,0,0,0,0,0,0,0
16 |
--------------------------------------------------------------------------------
/ExactCover/tailassignment_samples/FRCR_4_3_2.txt:
--------------------------------------------------------------------------------
1 | 0.5:0,1
2 | 0.1:2
3 | 0.1:0
4 | 0.1:1
5 | 0,1,1,1
6 |
--------------------------------------------------------------------------------
/ExactCover/tailassignment_samples/FRCR_6_24_3.txt:
--------------------------------------------------------------------------------
1 | 4:1,3,5,6,8,10,13,14,16,18,20,22
2 | 2:0,2,4,7,9,11,12,15,17,19,21,23
3 | 3:0,2,4,7,8,11,13,15,16,18,20,22
4 | 7:1,3,5,6,9,10,12,14,17,19,21,23
5 | 6:0,2,4,6,8,10,12,14,17,19,21,23
6 | 1:1,3,5,7,9,11,13,15,16,18,20,22
7 | 1,1,0,0,0,0
8 |
--------------------------------------------------------------------------------
/ExactCover/tailassignment_samples/FRCR_8_24_4.txt:
--------------------------------------------------------------------------------
1 | 2:0,2,4,6,8,10,12,14,16,18,20,22
2 | 1:1,3,5,7,9,11,13,15,17,19,21,23
3 | 6:0,2,4,7,8,11,13,15,16,18,20,23
4 | 8:1,3,5,6,9,10,12,14,17,19,21,22
5 | 7:0,2,4,7,9,10,13,15,17,19,21,22
6 | 5:1,3,5,6,8,11,12,14,16,18,20,23
7 | 3:0,2,4,7,9,10,12,14,16,18,20,23
8 | 4:1,3,5,6,8,11,13,15,17,19,21,22
9 | 1,1,0,0,0,0,0,0
10 |
--------------------------------------------------------------------------------
/LICENSE:
--------------------------------------------------------------------------------
1 | GNU GENERAL PUBLIC LICENSE
2 | Version 3, 29 June 2007
3 |
4 | Copyright (C) 2007 Free Software Foundation, Inc.
5 | Everyone is permitted to copy and distribute verbatim copies
6 | of this license document, but changing it is not allowed.
7 |
8 | Preamble
9 |
10 | The GNU General Public License is a free, copyleft license for
11 | software and other kinds of works.
12 |
13 | The licenses for most software and other practical works are designed
14 | to take away your freedom to share and change the works. By contrast,
15 | the GNU General Public License is intended to guarantee your freedom to
16 | share and change all versions of a program--to make sure it remains free
17 | software for all its users. We, the Free Software Foundation, use the
18 | GNU General Public License for most of our software; it applies also to
19 | any other work released this way by its authors. You can apply it to
20 | your programs, too.
21 |
22 | When we speak of free software, we are referring to freedom, not
23 | price. Our General Public Licenses are designed to make sure that you
24 | have the freedom to distribute copies of free software (and charge for
25 | them if you wish), that you receive source code or can get it if you
26 | want it, that you can change the software or use pieces of it in new
27 | free programs, and that you know you can do these things.
28 |
29 | To protect your rights, we need to prevent others from denying you
30 | these rights or asking you to surrender the rights. Therefore, you have
31 | certain responsibilities if you distribute copies of the software, or if
32 | you modify it: responsibilities to respect the freedom of others.
33 |
34 | For example, if you distribute copies of such a program, whether
35 | gratis or for a fee, you must pass on to the recipients the same
36 | freedoms that you received. You must make sure that they, too, receive
37 | or can get the source code. And you must show them these terms so they
38 | know their rights.
39 |
40 | Developers that use the GNU GPL protect your rights with two steps:
41 | (1) assert copyright on the software, and (2) offer you this License
42 | giving you legal permission to copy, distribute and/or modify it.
43 |
44 | For the developers' and authors' protection, the GPL clearly explains
45 | that there is no warranty for this free software. For both users' and
46 | authors' sake, the GPL requires that modified versions be marked as
47 | changed, so that their problems will not be attributed erroneously to
48 | authors of previous versions.
49 |
50 | Some devices are designed to deny users access to install or run
51 | modified versions of the software inside them, although the manufacturer
52 | can do so. This is fundamentally incompatible with the aim of
53 | protecting users' freedom to change the software. The systematic
54 | pattern of such abuse occurs in the area of products for individuals to
55 | use, which is precisely where it is most unacceptable. Therefore, we
56 | have designed this version of the GPL to prohibit the practice for those
57 | products. If such problems arise substantially in other domains, we
58 | stand ready to extend this provision to those domains in future versions
59 | of the GPL, as needed to protect the freedom of users.
60 |
61 | Finally, every program is threatened constantly by software patents.
62 | States should not allow patents to restrict development and use of
63 | software on general-purpose computers, but in those that do, we wish to
64 | avoid the special danger that patents applied to a free program could
65 | make it effectively proprietary. To prevent this, the GPL assures that
66 | patents cannot be used to render the program non-free.
67 |
68 | The precise terms and conditions for copying, distribution and
69 | modification follow.
70 |
71 | TERMS AND CONDITIONS
72 |
73 | 0. Definitions.
74 |
75 | "This License" refers to version 3 of the GNU General Public License.
76 |
77 | "Copyright" also means copyright-like laws that apply to other kinds of
78 | works, such as semiconductor masks.
79 |
80 | "The Program" refers to any copyrightable work licensed under this
81 | License. Each licensee is addressed as "you". "Licensees" and
82 | "recipients" may be individuals or organizations.
83 |
84 | To "modify" a work means to copy from or adapt all or part of the work
85 | in a fashion requiring copyright permission, other than the making of an
86 | exact copy. The resulting work is called a "modified version" of the
87 | earlier work or a work "based on" the earlier work.
88 |
89 | A "covered work" means either the unmodified Program or a work based
90 | on the Program.
91 |
92 | To "propagate" a work means to do anything with it that, without
93 | permission, would make you directly or secondarily liable for
94 | infringement under applicable copyright law, except executing it on a
95 | computer or modifying a private copy. Propagation includes copying,
96 | distribution (with or without modification), making available to the
97 | public, and in some countries other activities as well.
98 |
99 | To "convey" a work means any kind of propagation that enables other
100 | parties to make or receive copies. Mere interaction with a user through
101 | a computer network, with no transfer of a copy, is not conveying.
102 |
103 | An interactive user interface displays "Appropriate Legal Notices"
104 | to the extent that it includes a convenient and prominently visible
105 | feature that (1) displays an appropriate copyright notice, and (2)
106 | tells the user that there is no warranty for the work (except to the
107 | extent that warranties are provided), that licensees may convey the
108 | work under this License, and how to view a copy of this License. If
109 | the interface presents a list of user commands or options, such as a
110 | menu, a prominent item in the list meets this criterion.
111 |
112 | 1. Source Code.
113 |
114 | The "source code" for a work means the preferred form of the work
115 | for making modifications to it. "Object code" means any non-source
116 | form of a work.
117 |
118 | A "Standard Interface" means an interface that either is an official
119 | standard defined by a recognized standards body, or, in the case of
120 | interfaces specified for a particular programming language, one that
121 | is widely used among developers working in that language.
122 |
123 | The "System Libraries" of an executable work include anything, other
124 | than the work as a whole, that (a) is included in the normal form of
125 | packaging a Major Component, but which is not part of that Major
126 | Component, and (b) serves only to enable use of the work with that
127 | Major Component, or to implement a Standard Interface for which an
128 | implementation is available to the public in source code form. A
129 | "Major Component", in this context, means a major essential component
130 | (kernel, window system, and so on) of the specific operating system
131 | (if any) on which the executable work runs, or a compiler used to
132 | produce the work, or an object code interpreter used to run it.
133 |
134 | The "Corresponding Source" for a work in object code form means all
135 | the source code needed to generate, install, and (for an executable
136 | work) run the object code and to modify the work, including scripts to
137 | control those activities. However, it does not include the work's
138 | System Libraries, or general-purpose tools or generally available free
139 | programs which are used unmodified in performing those activities but
140 | which are not part of the work. For example, Corresponding Source
141 | includes interface definition files associated with source files for
142 | the work, and the source code for shared libraries and dynamically
143 | linked subprograms that the work is specifically designed to require,
144 | such as by intimate data communication or control flow between those
145 | subprograms and other parts of the work.
146 |
147 | The Corresponding Source need not include anything that users
148 | can regenerate automatically from other parts of the Corresponding
149 | Source.
150 |
151 | The Corresponding Source for a work in source code form is that
152 | same work.
153 |
154 | 2. Basic Permissions.
155 |
156 | All rights granted under this License are granted for the term of
157 | copyright on the Program, and are irrevocable provided the stated
158 | conditions are met. This License explicitly affirms your unlimited
159 | permission to run the unmodified Program. The output from running a
160 | covered work is covered by this License only if the output, given its
161 | content, constitutes a covered work. This License acknowledges your
162 | rights of fair use or other equivalent, as provided by copyright law.
163 |
164 | You may make, run and propagate covered works that you do not
165 | convey, without conditions so long as your license otherwise remains
166 | in force. You may convey covered works to others for the sole purpose
167 | of having them make modifications exclusively for you, or provide you
168 | with facilities for running those works, provided that you comply with
169 | the terms of this License in conveying all material for which you do
170 | not control copyright. Those thus making or running the covered works
171 | for you must do so exclusively on your behalf, under your direction
172 | and control, on terms that prohibit them from making any copies of
173 | your copyrighted material outside their relationship with you.
174 |
175 | Conveying under any other circumstances is permitted solely under
176 | the conditions stated below. Sublicensing is not allowed; section 10
177 | makes it unnecessary.
178 |
179 | 3. Protecting Users' Legal Rights From Anti-Circumvention Law.
180 |
181 | No covered work shall be deemed part of an effective technological
182 | measure under any applicable law fulfilling obligations under article
183 | 11 of the WIPO copyright treaty adopted on 20 December 1996, or
184 | similar laws prohibiting or restricting circumvention of such
185 | measures.
186 |
187 | When you convey a covered work, you waive any legal power to forbid
188 | circumvention of technological measures to the extent such circumvention
189 | is effected by exercising rights under this License with respect to
190 | the covered work, and you disclaim any intention to limit operation or
191 | modification of the work as a means of enforcing, against the work's
192 | users, your or third parties' legal rights to forbid circumvention of
193 | technological measures.
194 |
195 | 4. Conveying Verbatim Copies.
196 |
197 | You may convey verbatim copies of the Program's source code as you
198 | receive it, in any medium, provided that you conspicuously and
199 | appropriately publish on each copy an appropriate copyright notice;
200 | keep intact all notices stating that this License and any
201 | non-permissive terms added in accord with section 7 apply to the code;
202 | keep intact all notices of the absence of any warranty; and give all
203 | recipients a copy of this License along with the Program.
204 |
205 | You may charge any price or no price for each copy that you convey,
206 | and you may offer support or warranty protection for a fee.
207 |
208 | 5. Conveying Modified Source Versions.
209 |
210 | You may convey a work based on the Program, or the modifications to
211 | produce it from the Program, in the form of source code under the
212 | terms of section 4, provided that you also meet all of these conditions:
213 |
214 | a) The work must carry prominent notices stating that you modified
215 | it, and giving a relevant date.
216 |
217 | b) The work must carry prominent notices stating that it is
218 | released under this License and any conditions added under section
219 | 7. This requirement modifies the requirement in section 4 to
220 | "keep intact all notices".
221 |
222 | c) You must license the entire work, as a whole, under this
223 | License to anyone who comes into possession of a copy. This
224 | License will therefore apply, along with any applicable section 7
225 | additional terms, to the whole of the work, and all its parts,
226 | regardless of how they are packaged. This License gives no
227 | permission to license the work in any other way, but it does not
228 | invalidate such permission if you have separately received it.
229 |
230 | d) If the work has interactive user interfaces, each must display
231 | Appropriate Legal Notices; however, if the Program has interactive
232 | interfaces that do not display Appropriate Legal Notices, your
233 | work need not make them do so.
234 |
235 | A compilation of a covered work with other separate and independent
236 | works, which are not by their nature extensions of the covered work,
237 | and which are not combined with it such as to form a larger program,
238 | in or on a volume of a storage or distribution medium, is called an
239 | "aggregate" if the compilation and its resulting copyright are not
240 | used to limit the access or legal rights of the compilation's users
241 | beyond what the individual works permit. Inclusion of a covered work
242 | in an aggregate does not cause this License to apply to the other
243 | parts of the aggregate.
244 |
245 | 6. Conveying Non-Source Forms.
246 |
247 | You may convey a covered work in object code form under the terms
248 | of sections 4 and 5, provided that you also convey the
249 | machine-readable Corresponding Source under the terms of this License,
250 | in one of these ways:
251 |
252 | a) Convey the object code in, or embodied in, a physical product
253 | (including a physical distribution medium), accompanied by the
254 | Corresponding Source fixed on a durable physical medium
255 | customarily used for software interchange.
256 |
257 | b) Convey the object code in, or embodied in, a physical product
258 | (including a physical distribution medium), accompanied by a
259 | written offer, valid for at least three years and valid for as
260 | long as you offer spare parts or customer support for that product
261 | model, to give anyone who possesses the object code either (1) a
262 | copy of the Corresponding Source for all the software in the
263 | product that is covered by this License, on a durable physical
264 | medium customarily used for software interchange, for a price no
265 | more than your reasonable cost of physically performing this
266 | conveying of source, or (2) access to copy the
267 | Corresponding Source from a network server at no charge.
268 |
269 | c) Convey individual copies of the object code with a copy of the
270 | written offer to provide the Corresponding Source. This
271 | alternative is allowed only occasionally and noncommercially, and
272 | only if you received the object code with such an offer, in accord
273 | with subsection 6b.
274 |
275 | d) Convey the object code by offering access from a designated
276 | place (gratis or for a charge), and offer equivalent access to the
277 | Corresponding Source in the same way through the same place at no
278 | further charge. You need not require recipients to copy the
279 | Corresponding Source along with the object code. If the place to
280 | copy the object code is a network server, the Corresponding Source
281 | may be on a different server (operated by you or a third party)
282 | that supports equivalent copying facilities, provided you maintain
283 | clear directions next to the object code saying where to find the
284 | Corresponding Source. Regardless of what server hosts the
285 | Corresponding Source, you remain obligated to ensure that it is
286 | available for as long as needed to satisfy these requirements.
287 |
288 | e) Convey the object code using peer-to-peer transmission, provided
289 | you inform other peers where the object code and Corresponding
290 | Source of the work are being offered to the general public at no
291 | charge under subsection 6d.
292 |
293 | A separable portion of the object code, whose source code is excluded
294 | from the Corresponding Source as a System Library, need not be
295 | included in conveying the object code work.
296 |
297 | A "User Product" is either (1) a "consumer product", which means any
298 | tangible personal property which is normally used for personal, family,
299 | or household purposes, or (2) anything designed or sold for incorporation
300 | into a dwelling. In determining whether a product is a consumer product,
301 | doubtful cases shall be resolved in favor of coverage. For a particular
302 | product received by a particular user, "normally used" refers to a
303 | typical or common use of that class of product, regardless of the status
304 | of the particular user or of the way in which the particular user
305 | actually uses, or expects or is expected to use, the product. A product
306 | is a consumer product regardless of whether the product has substantial
307 | commercial, industrial or non-consumer uses, unless such uses represent
308 | the only significant mode of use of the product.
309 |
310 | "Installation Information" for a User Product means any methods,
311 | procedures, authorization keys, or other information required to install
312 | and execute modified versions of a covered work in that User Product from
313 | a modified version of its Corresponding Source. The information must
314 | suffice to ensure that the continued functioning of the modified object
315 | code is in no case prevented or interfered with solely because
316 | modification has been made.
317 |
318 | If you convey an object code work under this section in, or with, or
319 | specifically for use in, a User Product, and the conveying occurs as
320 | part of a transaction in which the right of possession and use of the
321 | User Product is transferred to the recipient in perpetuity or for a
322 | fixed term (regardless of how the transaction is characterized), the
323 | Corresponding Source conveyed under this section must be accompanied
324 | by the Installation Information. But this requirement does not apply
325 | if neither you nor any third party retains the ability to install
326 | modified object code on the User Product (for example, the work has
327 | been installed in ROM).
328 |
329 | The requirement to provide Installation Information does not include a
330 | requirement to continue to provide support service, warranty, or updates
331 | for a work that has been modified or installed by the recipient, or for
332 | the User Product in which it has been modified or installed. Access to a
333 | network may be denied when the modification itself materially and
334 | adversely affects the operation of the network or violates the rules and
335 | protocols for communication across the network.
336 |
337 | Corresponding Source conveyed, and Installation Information provided,
338 | in accord with this section must be in a format that is publicly
339 | documented (and with an implementation available to the public in
340 | source code form), and must require no special password or key for
341 | unpacking, reading or copying.
342 |
343 | 7. Additional Terms.
344 |
345 | "Additional permissions" are terms that supplement the terms of this
346 | License by making exceptions from one or more of its conditions.
347 | Additional permissions that are applicable to the entire Program shall
348 | be treated as though they were included in this License, to the extent
349 | that they are valid under applicable law. If additional permissions
350 | apply only to part of the Program, that part may be used separately
351 | under those permissions, but the entire Program remains governed by
352 | this License without regard to the additional permissions.
353 |
354 | When you convey a copy of a covered work, you may at your option
355 | remove any additional permissions from that copy, or from any part of
356 | it. (Additional permissions may be written to require their own
357 | removal in certain cases when you modify the work.) You may place
358 | additional permissions on material, added by you to a covered work,
359 | for which you have or can give appropriate copyright permission.
360 |
361 | Notwithstanding any other provision of this License, for material you
362 | add to a covered work, you may (if authorized by the copyright holders of
363 | that material) supplement the terms of this License with terms:
364 |
365 | a) Disclaiming warranty or limiting liability differently from the
366 | terms of sections 15 and 16 of this License; or
367 |
368 | b) Requiring preservation of specified reasonable legal notices or
369 | author attributions in that material or in the Appropriate Legal
370 | Notices displayed by works containing it; or
371 |
372 | c) Prohibiting misrepresentation of the origin of that material, or
373 | requiring that modified versions of such material be marked in
374 | reasonable ways as different from the original version; or
375 |
376 | d) Limiting the use for publicity purposes of names of licensors or
377 | authors of the material; or
378 |
379 | e) Declining to grant rights under trademark law for use of some
380 | trade names, trademarks, or service marks; or
381 |
382 | f) Requiring indemnification of licensors and authors of that
383 | material by anyone who conveys the material (or modified versions of
384 | it) with contractual assumptions of liability to the recipient, for
385 | any liability that these contractual assumptions directly impose on
386 | those licensors and authors.
387 |
388 | All other non-permissive additional terms are considered "further
389 | restrictions" within the meaning of section 10. If the Program as you
390 | received it, or any part of it, contains a notice stating that it is
391 | governed by this License along with a term that is a further
392 | restriction, you may remove that term. If a license document contains
393 | a further restriction but permits relicensing or conveying under this
394 | License, you may add to a covered work material governed by the terms
395 | of that license document, provided that the further restriction does
396 | not survive such relicensing or conveying.
397 |
398 | If you add terms to a covered work in accord with this section, you
399 | must place, in the relevant source files, a statement of the
400 | additional terms that apply to those files, or a notice indicating
401 | where to find the applicable terms.
402 |
403 | Additional terms, permissive or non-permissive, may be stated in the
404 | form of a separately written license, or stated as exceptions;
405 | the above requirements apply either way.
406 |
407 | 8. Termination.
408 |
409 | You may not propagate or modify a covered work except as expressly
410 | provided under this License. Any attempt otherwise to propagate or
411 | modify it is void, and will automatically terminate your rights under
412 | this License (including any patent licenses granted under the third
413 | paragraph of section 11).
414 |
415 | However, if you cease all violation of this License, then your
416 | license from a particular copyright holder is reinstated (a)
417 | provisionally, unless and until the copyright holder explicitly and
418 | finally terminates your license, and (b) permanently, if the copyright
419 | holder fails to notify you of the violation by some reasonable means
420 | prior to 60 days after the cessation.
421 |
422 | Moreover, your license from a particular copyright holder is
423 | reinstated permanently if the copyright holder notifies you of the
424 | violation by some reasonable means, this is the first time you have
425 | received notice of violation of this License (for any work) from that
426 | copyright holder, and you cure the violation prior to 30 days after
427 | your receipt of the notice.
428 |
429 | Termination of your rights under this section does not terminate the
430 | licenses of parties who have received copies or rights from you under
431 | this License. If your rights have been terminated and not permanently
432 | reinstated, you do not qualify to receive new licenses for the same
433 | material under section 10.
434 |
435 | 9. Acceptance Not Required for Having Copies.
436 |
437 | You are not required to accept this License in order to receive or
438 | run a copy of the Program. Ancillary propagation of a covered work
439 | occurring solely as a consequence of using peer-to-peer transmission
440 | to receive a copy likewise does not require acceptance. However,
441 | nothing other than this License grants you permission to propagate or
442 | modify any covered work. These actions infringe copyright if you do
443 | not accept this License. Therefore, by modifying or propagating a
444 | covered work, you indicate your acceptance of this License to do so.
445 |
446 | 10. Automatic Licensing of Downstream Recipients.
447 |
448 | Each time you convey a covered work, the recipient automatically
449 | receives a license from the original licensors, to run, modify and
450 | propagate that work, subject to this License. You are not responsible
451 | for enforcing compliance by third parties with this License.
452 |
453 | An "entity transaction" is a transaction transferring control of an
454 | organization, or substantially all assets of one, or subdividing an
455 | organization, or merging organizations. If propagation of a covered
456 | work results from an entity transaction, each party to that
457 | transaction who receives a copy of the work also receives whatever
458 | licenses to the work the party's predecessor in interest had or could
459 | give under the previous paragraph, plus a right to possession of the
460 | Corresponding Source of the work from the predecessor in interest, if
461 | the predecessor has it or can get it with reasonable efforts.
462 |
463 | You may not impose any further restrictions on the exercise of the
464 | rights granted or affirmed under this License. For example, you may
465 | not impose a license fee, royalty, or other charge for exercise of
466 | rights granted under this License, and you may not initiate litigation
467 | (including a cross-claim or counterclaim in a lawsuit) alleging that
468 | any patent claim is infringed by making, using, selling, offering for
469 | sale, or importing the Program or any portion of it.
470 |
471 | 11. Patents.
472 |
473 | A "contributor" is a copyright holder who authorizes use under this
474 | License of the Program or a work on which the Program is based. The
475 | work thus licensed is called the contributor's "contributor version".
476 |
477 | A contributor's "essential patent claims" are all patent claims
478 | owned or controlled by the contributor, whether already acquired or
479 | hereafter acquired, that would be infringed by some manner, permitted
480 | by this License, of making, using, or selling its contributor version,
481 | but do not include claims that would be infringed only as a
482 | consequence of further modification of the contributor version. For
483 | purposes of this definition, "control" includes the right to grant
484 | patent sublicenses in a manner consistent with the requirements of
485 | this License.
486 |
487 | Each contributor grants you a non-exclusive, worldwide, royalty-free
488 | patent license under the contributor's essential patent claims, to
489 | make, use, sell, offer for sale, import and otherwise run, modify and
490 | propagate the contents of its contributor version.
491 |
492 | In the following three paragraphs, a "patent license" is any express
493 | agreement or commitment, however denominated, not to enforce a patent
494 | (such as an express permission to practice a patent or covenant not to
495 | sue for patent infringement). To "grant" such a patent license to a
496 | party means to make such an agreement or commitment not to enforce a
497 | patent against the party.
498 |
499 | If you convey a covered work, knowingly relying on a patent license,
500 | and the Corresponding Source of the work is not available for anyone
501 | to copy, free of charge and under the terms of this License, through a
502 | publicly available network server or other readily accessible means,
503 | then you must either (1) cause the Corresponding Source to be so
504 | available, or (2) arrange to deprive yourself of the benefit of the
505 | patent license for this particular work, or (3) arrange, in a manner
506 | consistent with the requirements of this License, to extend the patent
507 | license to downstream recipients. "Knowingly relying" means you have
508 | actual knowledge that, but for the patent license, your conveying the
509 | covered work in a country, or your recipient's use of the covered work
510 | in a country, would infringe one or more identifiable patents in that
511 | country that you have reason to believe are valid.
512 |
513 | If, pursuant to or in connection with a single transaction or
514 | arrangement, you convey, or propagate by procuring conveyance of, a
515 | covered work, and grant a patent license to some of the parties
516 | receiving the covered work authorizing them to use, propagate, modify
517 | or convey a specific copy of the covered work, then the patent license
518 | you grant is automatically extended to all recipients of the covered
519 | work and works based on it.
520 |
521 | A patent license is "discriminatory" if it does not include within
522 | the scope of its coverage, prohibits the exercise of, or is
523 | conditioned on the non-exercise of one or more of the rights that are
524 | specifically granted under this License. You may not convey a covered
525 | work if you are a party to an arrangement with a third party that is
526 | in the business of distributing software, under which you make payment
527 | to the third party based on the extent of your activity of conveying
528 | the work, and under which the third party grants, to any of the
529 | parties who would receive the covered work from you, a discriminatory
530 | patent license (a) in connection with copies of the covered work
531 | conveyed by you (or copies made from those copies), or (b) primarily
532 | for and in connection with specific products or compilations that
533 | contain the covered work, unless you entered into that arrangement,
534 | or that patent license was granted, prior to 28 March 2007.
535 |
536 | Nothing in this License shall be construed as excluding or limiting
537 | any implied license or other defenses to infringement that may
538 | otherwise be available to you under applicable patent law.
539 |
540 | 12. No Surrender of Others' Freedom.
541 |
542 | If conditions are imposed on you (whether by court order, agreement or
543 | otherwise) that contradict the conditions of this License, they do not
544 | excuse you from the conditions of this License. If you cannot convey a
545 | covered work so as to satisfy simultaneously your obligations under this
546 | License and any other pertinent obligations, then as a consequence you may
547 | not convey it at all. For example, if you agree to terms that obligate you
548 | to collect a royalty for further conveying from those to whom you convey
549 | the Program, the only way you could satisfy both those terms and this
550 | License would be to refrain entirely from conveying the Program.
551 |
552 | 13. Use with the GNU Affero General Public License.
553 |
554 | Notwithstanding any other provision of this License, you have
555 | permission to link or combine any covered work with a work licensed
556 | under version 3 of the GNU Affero General Public License into a single
557 | combined work, and to convey the resulting work. The terms of this
558 | License will continue to apply to the part which is the covered work,
559 | but the special requirements of the GNU Affero General Public License,
560 | section 13, concerning interaction through a network will apply to the
561 | combination as such.
562 |
563 | 14. Revised Versions of this License.
564 |
565 | The Free Software Foundation may publish revised and/or new versions of
566 | the GNU General Public License from time to time. Such new versions will
567 | be similar in spirit to the present version, but may differ in detail to
568 | address new problems or concerns.
569 |
570 | Each version is given a distinguishing version number. If the
571 | Program specifies that a certain numbered version of the GNU General
572 | Public License "or any later version" applies to it, you have the
573 | option of following the terms and conditions either of that numbered
574 | version or of any later version published by the Free Software
575 | Foundation. If the Program does not specify a version number of the
576 | GNU General Public License, you may choose any version ever published
577 | by the Free Software Foundation.
578 |
579 | If the Program specifies that a proxy can decide which future
580 | versions of the GNU General Public License can be used, that proxy's
581 | public statement of acceptance of a version permanently authorizes you
582 | to choose that version for the Program.
583 |
584 | Later license versions may give you additional or different
585 | permissions. However, no additional obligations are imposed on any
586 | author or copyright holder as a result of your choosing to follow a
587 | later version.
588 |
589 | 15. Disclaimer of Warranty.
590 |
591 | THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
592 | APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
593 | HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY
594 | OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,
595 | THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
596 | PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
597 | IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
598 | ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
599 |
600 | 16. Limitation of Liability.
601 |
602 | IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
603 | WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
604 | THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
605 | GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
606 | USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
607 | DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
608 | PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
609 | EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
610 | SUCH DAMAGES.
611 |
612 | 17. Interpretation of Sections 15 and 16.
613 |
614 | If the disclaimer of warranty and limitation of liability provided
615 | above cannot be given local legal effect according to their terms,
616 | reviewing courts shall apply local law that most closely approximates
617 | an absolute waiver of all civil liability in connection with the
618 | Program, unless a warranty or assumption of liability accompanies a
619 | copy of the Program in return for a fee.
620 |
621 | END OF TERMS AND CONDITIONS
622 |
623 | How to Apply These Terms to Your New Programs
624 |
625 | If you develop a new program, and you want it to be of the greatest
626 | possible use to the public, the best way to achieve this is to make it
627 | free software which everyone can redistribute and change under these terms.
628 |
629 | To do so, attach the following notices to the program. It is safest
630 | to attach them to the start of each source file to most effectively
631 | state the exclusion of warranty; and each file should have at least
632 | the "copyright" line and a pointer to where the full notice is found.
633 |
634 |
635 | Copyright (C)
636 |
637 | This program is free software: you can redistribute it and/or modify
638 | it under the terms of the GNU General Public License as published by
639 | the Free Software Foundation, either version 3 of the License, or
640 | (at your option) any later version.
641 |
642 | This program is distributed in the hope that it will be useful,
643 | but WITHOUT ANY WARRANTY; without even the implied warranty of
644 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
645 | GNU General Public License for more details.
646 |
647 | You should have received a copy of the GNU General Public License
648 | along with this program. If not, see .
649 |
650 | Also add information on how to contact you by electronic and paper mail.
651 |
652 | If the program does terminal interaction, make it output a short
653 | notice like this when it starts in an interactive mode:
654 |
655 | Copyright (C)
656 | This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
657 | This is free software, and you are welcome to redistribute it
658 | under certain conditions; type `show c' for details.
659 |
660 | The hypothetical commands `show w' and `show c' should show the appropriate
661 | parts of the General Public License. Of course, your program's commands
662 | might be different; for a GUI interface, you would use an "about box".
663 |
664 | You should also get your employer (if you work as a programmer) or school,
665 | if any, to sign a "copyright disclaimer" for the program, if necessary.
666 | For more information on this, and how to apply and follow the GNU GPL, see
667 | .
668 |
669 | The GNU General Public License does not permit incorporating your program
670 | into proprietary programs. If your program is a subroutine library, you
671 | may consider it more useful to permit linking proprietary applications with
672 | the library. If this is what you want to do, use the GNU Lesser General
673 | Public License instead of this License. But first, please read
674 | .
675 |
--------------------------------------------------------------------------------
/MaxCut/ToyExampleQOA.ipynb:
--------------------------------------------------------------------------------
1 | {
2 | "cells": [
3 | {
4 | "cell_type": "code",
5 | "execution_count": 1,
6 | "id": "f4edc85e",
7 | "metadata": {},
8 | "outputs": [],
9 | "source": [
10 | "#run: pip install openquantumcomputing\n",
11 | "from openquantumcomputing.QAOAMaxCut import QAOAMaxCut"
12 | ]
13 | },
14 | {
15 | "cell_type": "code",
16 | "execution_count": 2,
17 | "id": "81310eb6",
18 | "metadata": {},
19 | "outputs": [],
20 | "source": [
21 | "from qiskit import *\n",
22 | "import numpy as np\n",
23 | "import networkx as nx\n",
24 | "\n",
25 | "import matplotlib.pyplot as pl\n",
26 | "from mpl_toolkits.axes_grid1 import make_axes_locatable\n",
27 | "from qiskit.visualization import *"
28 | ]
29 | },
30 | {
31 | "cell_type": "markdown",
32 | "id": "afc54384-89ef-474e-aa49-b43a9896726f",
33 | "metadata": {},
34 | "source": [
35 | "Create a graph instance"
36 | ]
37 | },
38 | {
39 | "cell_type": "code",
40 | "execution_count": 3,
41 | "id": "eaa8c8a1",
42 | "metadata": {},
43 | "outputs": [
44 | {
45 | "data": {
46 | "image/png": "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",
47 | "text/plain": [
48 | ""
49 | ]
50 | },
51 | "metadata": {},
52 | "output_type": "display_data"
53 | }
54 | ],
55 | "source": [
56 | "V = np.arange(0,5,1)\n",
57 | "E = [(0,1,1.0),(0,2,1.0),(1,2,1.0),(3,2,1.0),(3,4,1.0),(4,2,1.0)] \n",
58 | "\n",
59 | "G = nx.Graph()\n",
60 | "G.add_nodes_from(V)\n",
61 | "G.add_weighted_edges_from(E)\n",
62 | "\n",
63 | "pos = nx.spring_layout(G)\n",
64 | "nx.draw_networkx(G,pos=pos)\n",
65 | "k_cuts=2"
66 | ]
67 | },
68 | {
69 | "cell_type": "markdown",
70 | "id": "062c6b9b-cbe7-4cf1-abb4-50218cc06228",
71 | "metadata": {},
72 | "source": [
73 | "Create a QAOA maxcut instance a draw the circuit at depth 1"
74 | ]
75 | },
76 | {
77 | "cell_type": "code",
78 | "execution_count": 4,
79 | "id": "75d8e6d2",
80 | "metadata": {},
81 | "outputs": [
82 | {
83 | "data": {
84 | "text/html": [
85 | "