biblio.bib

% Bibliography File
% Insert your References here!

% RBM
@misc{jnsson2018neuralnetwork,
    title={Neural-network states for the classical simulation of quantum computing},
    author={Bjarni Jónsson and Bela Bauer and Giuseppe Carleo},
    year={2018},
    eprint={1808.05232},
    archivePrefix={arXiv},
    primaryClass={quant-ph}
}

@misc{montufar2018restricted,
    title={Restricted Boltzmann Machines: Introduction and Review},
    author={Guido Montufar},
    year={2018},
    eprint={1806.07066},
    archivePrefix={arXiv},
    primaryClass={cs.LG}
}

@inproceedings{fischer2012introduction,
author = {Fischer, Asja and Igel, Christian},
year = {2012},
month = {01},
pages = {14-36},
title = {An Introduction to Restricted Boltzmann Machines},
doi = {10.1007/978-3-642-33275-3_2}
}

@InProceedings{hinton1983analyzing,
  title		= {Analyzing cooperative computation},
  author	= {Hinton, Geoffrey E. and Sejnowski, Terrence J.},
  booktitle	= {Proceedings of the Fifth Annual Conference of the
		  Cognitive Science Society, Rochester NY},
  year		= {1983},
  url_pdf	= {absps/coopcomp.pdf}
}

@article{ackley1985learning,
author = {Ackley, David H. and Hinton, Geoffrey E. and Sejnowski, Terrence J.},
title = {A Learning Algorithm for Boltzmann Machines*},
journal = {Cognitive Science},
volume = {9},
number = {1},
pages = {147-169},
doi = {10.1207/s15516709cog0901\_7},
url = {https://onlinelibrary.wiley.com/doi/abs/10.1207/s15516709cog0901_7},
eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1207/s15516709cog0901_7},
abstract = {The computational power of massively parallel networks of simple processing elements resides in the communication bandwidth provided by the hardware connections between elements. These connections can allow a significant fraction of the knowledge of the system to be applied to an instance of a problem in a very short time. One kind of computation for which massively parallel networks appear to be well suited is large constraint satisfaction searches, but to use the connections efficiently two conditions must be met: First, a search technique that is suitable for parallel networks must be found. Second, there must be some way of choosing internal representations which allow the preexisting hardware connections to be used efficiently for encoding the constraints in the domain being searched. We describe a general parallel search method, based on statistical mechanics, and we show how it leads to a general learning rule for modifying the connection strengths so as to incorporate knowledge about a task domain in an efficient way. We describe some simple examples in which the learning algorithm creates internal representations that are demonstrably the most efficient way of using the preexisting connectivity structure.},
year = {1985}
}

@Inbook{hinton2010boltzmann,
author="Hinton, Geoffrey",
editor="Sammut, Claude
and Webb, Geoffrey I.",
title="Boltzmann Machines",
bookTitle="Encyclopedia of Machine Learning",
year="2010",
publisher="Springer US",
address="Boston, MA",
pages="132--136",
isbn="978-0-387-30164-8",
doi="10.1007/978-0-387-30164-8_83",
url="https://doi.org/10.1007/978-0-387-30164-8_83"
}

@book{gibbs_2010, 
      place={Cambridge},
      series={Cambridge Library Collection - Mathematics},
      title={Elementary Principles in Statistical Mechanics: Developed with Especial Reference to the Rational Foundation of Thermodynamics},
      DOI={10.1017/CBO9780511686948},
      publisher={Cambridge University Press},
      author={Gibbs, Josiah Willard},
      year={2010},
      collection={Cambridge Library Collection - Mathematics}
}

@article{bengio2009learning,
  title={Learning deep architectures for AI},
  author={Bengio, Yoshua and others},
  journal={Foundations and trends{\textregistered} in Machine Learning},
  volume={2},
  number={1},
  pages={1--127},
  year={2009},
  publisher={Now Publishers, Inc.}
}

@article{hinton2006fast,
  title={A fast learning algorithm for deep belief nets},
  author={Hinton, Geoffrey E and Osindero, Simon and Teh, Yee-Whye},
  journal={Neural computation},
  volume={18},
  number={7},
  pages={1527--1554},
  year={2006},
  publisher={MIT Press}
}

@techreport{smolensky1986information,
  title={Information processing in dynamical systems: Foundations of harmony theory},
  author={Smolensky, Paul},
  year={1986},
  institution={Colorado Univ at Boulder Dept of Computer Science}
}

@misc{ruder2016overview,
  abstract = {Gradient descent optimization algorithms, while increasingly popular, are
often used as black-box optimizers, as practical explanations of their
strengths and weaknesses are hard to come by. This article aims to provide the
reader with intuitions with regard to the behavior of different algorithms
that will allow her to put them to use. In the course of this overview, we look
at different variants of gradient descent, summarize challenges, introduce the
most common optimization algorithms, review architectures in a parallel and
distributed setting, and investigate additional strategies for optimizing
gradient descent.},
  added-at = {2018-12-07T10:36:09.000+0100},
  author = {Ruder, Sebastian},
  biburl = {https://www.bibsonomy.org/bibtex/2705d468fad6e6f3609810917b5bb8a93/jpvaldes},
  description = {An overview of gradient descent optimization algorithms},
  interhash = {6e9f951ec79eba6cb7eb27db1e6d4ad6},
  intrahash = {705d468fad6e6f3609810917b5bb8a93},
  keywords = {gradient_descent optimization review},
  note = {cite arxiv:1609.04747Comment: Added derivations of AdaMax and Nadam},
  timestamp = {2018-12-07T10:36:09.000+0100},
  title = {An overview of gradient descent optimization algorithms.},
  url = {http://arxiv.org/abs/1609.04747},
  year = 2016
}


@article{le2008representational,
  title={Representational power of restricted Boltzmann machines and deep belief networks},
  author={Le Roux, Nicolas and Bengio, Yoshua},
  journal={Neural computation},
  volume={20},
  number={6},
  pages={1631--1649},
  year={2008},
  publisher={MIT Press}
}

@article{montufar2011refinements,
  title={Refinements of universal approximation results for deep belief networks and restricted Boltzmann machines},
  author={Montufar, Guido and Ay, Nihat},
  journal={Neural computation},
  volume={23},
  number={5},
  pages={1306--1319},
  year={2011},
  publisher={MIT Press}
}

@article{hastings1970monte,
  title={Monte Carlo sampling methods using Markov chains and their applications},
  author={Hastings, W Keith},
  year={1970},
  publisher={Oxford University Press}
}

@article{hinton2002training,
  title={Training products of experts by minimizing contrastive divergence},
  author={Hinton, Geoffrey E},
  journal={Neural computation},
  volume={14},
  number={8},
  pages={1771--1800},
  year={2002},
  publisher={MIT Press}
}

@inproceedings{tieleman2008training,
  title={Training restricted Boltzmann machines using approximations to the likelihood gradient},
  author={Tieleman, Tijmen},
  booktitle={Proceedings of the 25th international conference on Machine learning},
  pages={1064--1071},
  year={2008}
}

@inproceedings{desjardins2010parallel,
  title={Parallel tempering for training of restricted Boltzmann machines},
  author={Desjardins, Guillaume and Courville, Aaron and Bengio, Yoshua and Vincent, Pascal and Delalleau, Olivier},
  booktitle={Proceedings of the thirteenth international conference on artificial intelligence and statistics},
  pages={145--152},
  year={2010},
  organization={MIT Press Cambridge, MA}
}

@article{kingma2014adam,
  title={Adam: A method for stochastic optimization},
  author={Kingma, Diederik P and Ba, Jimmy},
  journal={arXiv preprint arXiv:1412.6980},
  year={2014}
}

@article{bengio2015rmsprop,
  title={Rmsprop and equilibrated adaptive learning rates for nonconvex optimization},
  author={Bengio, Yoshua},
  journal={corr abs/1502.04390},
  year={2015}
}

@article{duchi2011adaptive,
  title={Adaptive subgradient methods for online learning and stochastic optimization},
  author={Duchi, John and Hazan, Elad and Singer, Yoram},
  journal={Journal of machine learning research},
  volume={12},
  number={Jul},
  pages={2121--2159},
  year={2011}
}

@article{carleo2017solving,
  title={Solving the quantum many-body problem with artificial neural networks},
  author={Carleo, Giuseppe and Troyer, Matthias},
  journal={Science},
  volume={355},
  number={6325},
  pages={602--606},
  year={2017},
  publisher={American Association for the Advancement of Science}
}

@article{deng2017quantum,
  title={Quantum entanglement in neural network states},
  author={Deng, Dong-Ling and Li, Xiaopeng and Sarma, S Das},
  journal={Physical Review X},
  volume={7},
  number={2},
  pages={021021},
  year={2017},
  publisher={APS}
}

@article{carleo2018constructing,
  title={Constructing exact representations of quantum many-body systems with deep neural networks},
  author={Carleo, Giuseppe and Nomura, Yusuke and Imada, Masatoshi},
  journal={Nature communications},
  volume={9},
  number={1},
  pages={1--11},
  year={2018},
  publisher={Nature Publishing Group}
}

@misc{nielsen2002quantum,
  title={Quantum computation and quantum information},
  author={Nielsen, Michael A and Chuang, Isaac},
  year={2002},
  publisher={American Association of Physics Teachers}
}

@article{martines2019supremacy,
title	= {Quantum Supremacy using a Programmable Superconducting Processor},
author	= {Frank Arute and Kunal Arya and Ryan Babbush and Dave Bacon and Joseph Bardin and Rami Barends and Rupak Biswas and Sergio Boixo and Fernando Brandao and David Buell and Brian Burkett and Yu Chen and Jimmy Chen and Ben Chiaro and Roberto Collins and William Courtney and Andrew Dunsworth and Edward Farhi and Brooks Foxen and Austin Fowler and Craig Michael Gidney and Marissa Giustina and Rob Graff and Keith Guerin and Steve Habegger and Matthew Harrigan and Michael Hartmann and Alan Ho and Markus Rudolf Hoffmann and Trent Huang and Travis Humble and Sergei Isakov and Evan Jeffrey and Zhang Jiang and Dvir Kafri and Kostyantyn Kechedzhi and Julian Kelly and Paul Klimov and Sergey Knysh and Alexander Korotkov and Fedor Kostritsa and Dave Landhuis and Mike Lindmark and Erik Lucero and Dmitry Lyakh and Salvatore Mandrà and Jarrod Ryan McClean and Matthew McEwen and Anthony Megrant and Xiao Mi and Kristel Michielsen and Masoud Mohseni and Josh Mutus and Ofer Naaman and Matthew Neeley and Charles Neill and Murphy Yuezhen Niu and Eric Ostby and Andre Petukhov and John Platt and Chris Quintana and Eleanor G. Rieffel and Pedram Roushan and Nicholas Rubin and Daniel Sank and Kevin J. Satzinger and Vadim Smelyanskiy and Kevin Jeffery Sung and Matt Trevithick and Amit Vainsencher and Benjamin Villalonga and Ted White and Z. Jamie Yao and Ping Yeh and Adam Zalcman and Hartmut Neven and John Martinis},
year	= {2019},
URL	= {https://www.nature.com/articles/s41586-019-1666-5},
journal	= {Nature},
pages	= {505–510},
volume	= {574}
}

@article{Boixo2018supremacy,
   title={Characterizing quantum supremacy in near-term devices},
   volume={14},
   ISSN={1745-2481},
   url={http://dx.doi.org/10.1038/s41567-018-0124-x},
   DOI={10.1038/s41567-018-0124-x},
   number={6},
   journal={Nature Physics},
   publisher={Springer Science and Business Media LLC},
   author={Boixo, Sergio and Isakov, Sergei V. and Smelyanskiy, Vadim N. and Babbush, Ryan and Ding, Nan and Jiang, Zhang and Bremner, Michael J. and Martinis, John M. and Neven, Hartmut},
   year={2018},
   month={Apr},
   pages={595–600}
}

@misc{preskill2012quantum,
    title={Quantum computing and the entanglement frontier},
    author={John Preskill},
    year={2012},
    eprint={1203.5813},
    archivePrefix={arXiv},
    primaryClass={quant-ph}
}

@article{shor1997factorisation,
   title={Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer},
   volume={26},
   ISSN={1095-7111},
   url={http://dx.doi.org/10.1137/S0097539795293172},
   DOI={10.1137/s0097539795293172},
   number={5},
   journal={SIAM Journal on Computing},
   publisher={Society for Industrial & Applied Mathematics (SIAM)},
   author={Shor, Peter W.},
   year={1997},
   month={Oct},
   pages={1484–1509}
}

@article{aaronson2013boson,
 author = {Aaronson, Scott and Arkhipov, Alex},
 title = {The Computational Complexity of Linear Optics},
 year = {2013},
 pages = {143--252},
 doi = {10.4086/toc.2013.v009a004},
 publisher = {Theory of Computing},
 journal = {Theory of Computing},
 volume = {9},
 number = {4},
 URL = {http://www.theoryofcomputing.org/articles/v009a004},
}

@article{Porter1956Fluctuations,
  title = {Fluctuations of Nuclear Reaction Widths},
  author = {Porter, C. E. and Thomas, R. G.},
  journal = {Phys. Rev.},
  volume = {104},
  issue = {2},
  pages = {483--491},
  numpages = {0},
  year = {1956},
  month = {Oct},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRev.104.483},
  url = {https://link.aps.org/doi/10.1103/PhysRev.104.483}
}
 
 @article{Neuscamman_2012,
   title={Optimizing large parameter sets in variational quantum Monte Carlo},
   volume={85},
   ISSN={1550-235X},
   url={http://dx.doi.org/10.1103/PhysRevB.85.045103},
   DOI={10.1103/physrevb.85.045103},
   number={4},
   journal={Physical Review B},
   publisher={American Physical Society (APS)},
   author={Neuscamman, Eric and Umrigar, C. J. and Chan, Garnet Kin-Lic},
   year={2012},
   month={Jan}
}

@book{kitaev2002classical,
  title={Classical and Quantum Computation},
  author={Kitaev, A.Y. and Shen, A. and Vyalyi, M.N. and Vyalyi, M.N.},
  isbn={9780821832295},
  lccn={2002016686},
  series={Graduate studies in mathematics},
  url={https://books.google.de/books?id=qYHTvHPvmG8C},
  year={2002},
  publisher={American Mathematical Society}
}

@ARTICLE{1997RuMaS..52.1191K,
       author = {{Kitaev}, A. Yu},
        title = "{Quantum computations: algorithms and error correction}",
      journal = {Russian Mathematical Surveys},
         year = 1997,
        month = dec,
       volume = {52},
       number = {6},
        pages = {1191-1249},
          doi = {10.1070/RM1997v052n06ABEH002155},
       adsurl = {https://ui.adsabs.harvard.edu/abs/1997RuMaS..52.1191K},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}


@article{sheffer13transactions,
 ISSN = {00029947},
 URL = {http://www.jstor.org/stable/1988701},
 author = {Henry Maurice Sheffer},
 journal = {Transactions of the American Mathematical Society},
 number = {4},
 pages = {481--488},
 publisher = {American Mathematical Society},
 title = {A Set of Five Independent Postulates for Boolean Algebras, with Application to Logical Constants},
 volume = {14},
 year = {1913}
}

@misc{gottesman1998heisenberg,
    title={The Heisenberg Representation of Quantum Computers},
    author={Daniel Gottesman},
    year={1998},
    eprint={quant-ph/9807006},
    archivePrefix={arXiv},
    primaryClass={quant-ph}
}

@article{10.1112/plms/s2-42.1.230,
    author = {Turing, A. M.},
    title = "{On Computable Numbers, with an Application to the Entscheidungsproblem}",
    journal = {Proceedings of the London Mathematical Society},
    volume = {s2-42},
    number = {1},
    pages = {230-265},
    year = {1937},
    month = {01},
    issn = {0024-6115},
    doi = {10.1112/plms/s2-42.1.230},
    url = {https://doi.org/10.1112/plms/s2-42.1.230},
    eprint = {https://academic.oup.com/plms/article-pdf/s2-42/1/230/4317544/s2-42-1-230.pdf},
}

@book{10.5555/522806,
author = {Savage, John E.},
title = {Models of Computation: Exploring the Power of Computing},
year = {1997},
isbn = {0201895390},
publisher = {Addison-Wesley Longman Publishing Co., Inc.},
address = {USA},
edition = {1st}
}

@article{feynman1982simulating,
  title={Simulating physics with computers},
  author={Feynman, Richard P},
  journal={Int. J. Theor. Phys},
  volume={21},
  number={6/7},
  year={1982}
}

@INPROCEEDINGS{Bernstein93quantumcomplexity,
    author = {Ethan Bernstein and Umesh Vazirani},
    title = {Quantum complexity theory},
    booktitle = {in Proc. 25th Annual ACM Symposium on Theory of Computing, ACM},
    year = {1993},
    pages = {11--20}
}

@article{gill1977computational,
  title={Computational complexity of probabilistic Turing machines},
  author={Gill, John},
  journal={SIAM Journal on Computing},
  volume={6},
  number={4},
  pages={675--695},
  year={1977},
  publisher={SIAM}
}

@misc{martinlopez2011experimental,
    title={Experimental realisation of Shor's quantum factoring algorithm using qubit recycling},
    author={Enrique Martin-Lopez and Anthony Laing and Thomas Lawson and Roberto Alvarez and Xiao-Qi Zhou and Jeremy L. O'Brien},
    year={2011},
    eprint={1111.4147},
    archivePrefix={arXiv},
    primaryClass={quant-ph}
}

@article{Zeh:1970zz,
    author = "Zeh, H.D.",
    title = "{On the interpretation of measurement in quantum theory}",
    doi = "10.1007/BF00708656",
    journal = "Found. Phys.",
    volume = "1",
    pages = "69--76",
    year = "1970"
}

@article{kullback1951,
author = "Kullback, S. and Leibler, R. A.",
doi = "10.1214/aoms/1177729694",
fjournal = "Annals of Mathematical Statistics",
journal = "Ann. Math. Statist.",
month = "03",
number = "1",
pages = "79--86",
publisher = "The Institute of Mathematical Statistics",
title = "On Information and Sufficiency",
url = "https://doi.org/10.1214/aoms/1177729694",
volume = "22",
year = "1951"
}

@article{neill2018blueprint,
  title={A blueprint for demonstrating quantum supremacy with superconducting qubits},
  author={Neill, Charles and Roushan, Pedran and Kechedzhi, K and Boixo, Sergio and Isakov, Sergei V and Smelyanskiy, V and Megrant, A and Chiaro, B and Dunsworth, A and Arya, K and others},
  journal={Science},
  volume={360},
  number={6385},
  pages={195--199},
  year={2018},
  publisher={American Association for the Advancement of Science}
}

@misc{harrow2008random,
    title={Random Quantum Circuits are Approximate 2-designs},
    author={Aram W. Harrow and Richard A. Low},
    year={2008},
    eprint={0802.1919},
    archivePrefix={arXiv},
    primaryClass={quant-ph}
}

@misc{barends2014logic,
    title={Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing},
    author={R. Barends and J. Kelly and A. Megrant and A. Veitia and D. Sank and E. Jeffrey and T. C. White and J. Mutus and A. G. Fowler and B. Campbell and Y. Chen and Z. Chen and B. Chiaro and A. Dunsworth and C. Neill and P. O`Malley and P. Roushan and A. Vainsencher and J. Wenner and A. N. Korotkov and A. N. Cleland and John M. Martinis},
    year={2014},
    eprint={1402.4848},
    archivePrefix={arXiv},
    primaryClass={quant-ph}
}

@article{beals2013efficient,
  title={Efficient distributed quantum computing},
  author={Beals, Robert and Brierley, Stephen and Gray, Oliver and Harrow, Aram W and Kutin, Samuel and Linden, Noah and Shepherd, Dan and Stather, Mark},
  journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},
  volume={469},
  number={2153},
  pages={20120686},
  year={2013},
  publisher={The Royal Society Publishing}
}

@misc{pednault2019leveraging,
    title={Leveraging Secondary Storage to Simulate Deep 54-qubit Sycamore Circuits},
    author={Edwin Pednault and John A. Gunnels and Giacomo Nannicini and Lior Horesh and Robert Wisnieff},
    year={2019},
    eprint={1910.09534},
    archivePrefix={arXiv},
    primaryClass={quant-ph}
}

@misc{sorella1998green,
    title={Green Function Monte Carlo with Stochastic Reconfiguration},
    author={S. Sorella},
    year={1998},
    eprint={cond-mat/9803107},
    archivePrefix={arXiv},
    primaryClass={cond-mat}
}

@article{netket2019,
      author    = {Carleo, Giuseppe and Choo, Kenny and Hofmann, Damian and
         Smith, James E.~T. and Westerhout, Tom and Alet, Fabien and
         Davis, Emily J. and Efthymiou, Stavros and Glasser, Ivan and
         Lin, Sheng-Hsuan and Mauri, Marta and Mazzola, Guglielmo and
         Mendl, Christian B. and van Nieuwenburg, Evert and
         O'Reilly, Ossian and Th{\'e}veniaut, Hugo and Torlai, Giacomo and Vicentini, Filippo and
         Wietek, Alexander},
      title     = {NetKet: A Machine Learning Toolkit for Many-Body Quantum Systems},
      journal   = {SoftwareX},
      pages   = {100311},
      doi   = {10.1016/j.softx.2019.100311},
      url   = {http://www.sciencedirect.com/science/article/pii/S2352711019300974},
      year      = 2019
}

@misc{cross2017open,
      title={Open Quantum Assembly Language}, 
      author={Andrew W. Cross and Lev S. Bishop and John A. Smolin and Jay M. Gambetta},
      year={2017},
      eprint={1707.03429},
      archivePrefix={arXiv},
      primaryClass={quant-ph}
}

@MISC{Barker15nistspecial,
    author = {Elaine Barker and William Barker and William Burr and William Polk and Miles Smid and Patrick D. Gallagher and Under Secretary For},
    title = {NIST Special Publication 800-57 Recommendation for Key Management – Part 1: General},
    year = {2015}
}

@article{Emerson_2003,
   title={Pseudo-Random Unitary Operators for Quantum Information Processing},
   volume={302},
   ISSN={1095-9203},
   url={http://dx.doi.org/10.1126/science.1090790},
   DOI={10.1126/science.1090790},
   number={5653},
   journal={Science},
   publisher={American Association for the Advancement of Science (AAAS)},
   author={Emerson, J.},
   year={2003},
   month={Dec},
   pages={2098–2100}
}

@misc{bouland2018quantum,
      title={Quantum Supremacy and the Complexity of Random Circuit Sampling}, 
      author={Adam Bouland and Bill Fefferman and Chinmay Nirkhe and Umesh Vazirani},
      year={2018},
      eprint={1803.04402},
      archivePrefix={arXiv},
      primaryClass={quant-ph}
}

@ARTICLE{8585034,
      author={Y. {Cao} and J. {Romero} and A. {Aspuru-Guzik}},
      journal={IBM Journal of Research and Development},
      title={Potential of quantum computing for drug discovery},
      year={2018},
      volume={62},
      number={6},
      pages={6:1-6:20},
      doi={10.1147/JRD.2018.2888987}
}

@article{Zalka_1998,
   title={Simulating quantum systems on a quantum computer},
   volume={454},
   ISSN={1471-2946},
   url={http://dx.doi.org/10.1098/rspa.1998.0162},
   DOI={10.1098/rspa.1998.0162},
   number={1969},
   journal={Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences},
   publisher={The Royal Society},
   author={Zalka, Christof},
   year={1998},
   month={Jan},
   pages={313–322}
}

@article{Preskill_2018,
   title={Quantum Computing in the NISQ era and beyond},
   volume={2},
   ISSN={2521-327X},
   url={http://dx.doi.org/10.22331/q-2018-08-06-79},
   DOI={10.22331/q-2018-08-06-79},
   journal={Quantum},
   publisher={Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften},
   author={Preskill, John},
   year={2018},
   month={Aug},
   pages={79}
}

@misc{medvidovic2020classical,
      title={Classical variational simulation of the Quantum Approximate Optimization Algorithm}, 
      author={Matija Medvidovic and Giuseppe Carleo},
      year={2020},
      eprint={2009.01760},
      archivePrefix={arXiv},
      primaryClass={quant-ph}
}

@online{NQS2020,
  author = {Jannes Stubbemann},
  title = {{NSQ} A library for the classical simulation of quantum circuits with restricted Boltzmann machines},
  year = 2020,
  note = {Available at \url{https://github.com/stubbi/nqs}},
  urldate = {2020-10-22}
}

 @misc{ noctua2020,
   author = "PC2 Doc",
   title = "Noctua --- PC2 Doc{,} ",
   year = "2019",
   url = "https://wikis.uni-paderborn.de/pc2doc/index.php?title=Noctua&oldid=2387",
   note = "[Online; abgerufen am 2. März 2020]"
 }

@article{Bremner2017,
   title={Achieving quantum supremacy with sparse and noisy commuting quantum computations},
   volume={1},
   ISSN={2521-327X},
   url={http://dx.doi.org/10.22331/q-2017-04-25-8},
   DOI={10.22331/q-2017-04-25-8},
   journal={Quantum},
   publisher={Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften},
   author={Bremner, Michael J. and Montanaro, Ashley and Shepherd, Dan J.},
   year={2017},
   month={Apr},
   pages={8}
}

@article{Hamilton2017,
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   ISSN={1079-7114},
   url={http://dx.doi.org/10.1103/PhysRevLett.119.170501},
   DOI={10.1103/physrevlett.119.170501},
   number={17},
   journal={Physical Review Letters},
   publisher={American Physical Society (APS)},
   author={Hamilton, Craig S. and Kruse, Regina and Sansoni, Linda and Barkhofen, Sonja and Silberhorn, Christine and Jex, Igor},
   year={2017},
   month={Oct}
}

@article{amari1998natural,
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  journal={Neural computation},
  volume={10},
  number={2},
  pages={251--276},
  year={1998},
  publisher={MIT Press}
}