@inproceedings(aaronson2011computational, author = {Scott Aaronson and Alex Arkhipov}, year = {2011}, title = {The computational complexity of linear optics}, booktitle = {Proceedings of the forty-third annual ACM symposium on Theory of computing}, organization = {ACM}, pages = {333--342}, doi = {10.1145/1993636.1993682}, ) @article(aliferis2009fault, author = {Panos Aliferis and Frederico Brito and David P DiVincenzo and John Preskill and Matthias Steffen and Barbara M Terhal}, year = {2009}, title = {Fault-tolerant computing with biased-noise superconducting qubits: a case study}, journal = {New Journal of Physics}, volume = {11}, number = {1}, pages = {013061}, doi = {10.1088/1367-2630/11/1/013061}, ) @article(bartlett2012reconstruction, author = {Stephen D Bartlett and Terry Rudolph and Robert W Spekkens}, year = {2012}, title = {Reconstruction of Gaussian quantum mechanics from Liouville mechanics with an epistemic restriction}, journal = {Physical Review A}, volume = {86}, number = {1}, pages = {012103}, doi = {10.1103/PhysRevA.86.012103}, ) @article(bartlett2002efficient, author = {Stephen D Bartlett and Barry C Sanders and Samuel L Braunstein and Kae Nemoto}, year = {2002}, title = {Efficient classical simulation of continuous variable quantum information processes}, journal = {Physical Review Letters}, volume = {88}, number = {9}, pages = {097904}, doi = {10.1103/PhysRevLett.88.097904}, ) @inproceedings(bennett1984quantum, author = {Charles H Bennett and Gilles Brassard}, year = {1984}, title = {Quantum cryptography: Public key distribution and coin tossing}, booktitle = {Proceedings of the IEEE International Conference on Computers Systems and Signal Processing, 1984}, pages = {175--179}, ) @article(bermejo2017architectures, author = {Bermejo-Vega, Juan and Dominik Hangleiter and Martin Schwarz and Robert Raussendorf and Jens Eisert}, year = {2017}, title = {Architectures for quantum simulation showing quantum supremacy}, journal = {arXiv preprint arXiv:1703.00466}, ) @inproceedings(bremner2010classical, author = {Michael J Bremner and Richard Jozsa and Dan J Shepherd}, year = {2010}, title = {Classical simulation of commuting quantum computations implies collapse of the polynomial hierarchy}, booktitle = {Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences}, organization = {The Royal Society}, pages = {rspa20100301}, doi = {10.1098/rspa.2010.0301}, ) @article(bremner2016average, author = {Michael J Bremner and Ashley Montanaro and Dan J Shepherd}, year = {2016}, title = {Average-case complexity versus approximate simulation of commuting quantum computations}, journal = {Physical review letters}, volume = {117}, number = {8}, pages = {080501}, doi = {10.1103/PhysRevLett.117.080501}, ) @article(bremner2016achieving, author = {MJ Bremner and A Montanaro and DJ Shepherd}, year = {2017}, title = {Achieving quantum supremacy with sparse and noisy commuting quantum computations}, journal = {Quantum}, doi = {10.22331/q-2017-04-25-8}, ) @inproceedings(broadbent2009universal, author = {Anne Broadbent and Joseph Fitzsimons and Elham Kashefi}, year = {2009}, title = {Universal blind quantum computation}, booktitle = {Foundations of Computer Science, 2009. FOCS'09. 50th Annual IEEE Symposium on}, organization = {IEEE}, pages = {517--526}, doi = {10.1109/FOCS.2009.36}, ) @article(danos2006determinism, author = {Vincent Danos and Elham Kashefi}, year = {2006}, title = {Determinism in the one-way model}, journal = {Physical Review A}, volume = {74}, number = {5}, pages = {052310}, doi = {10.1103/PhysRevA.74.052310}, ) @article(danos2007measurement, author = {Vincent Danos and Elham Kashefi and Prakash Panangaden}, year = {2007}, title = {The measurement calculus}, journal = {Journal of the ACM (JACM)}, volume = {54}, number = {2}, pages = {8}, doi = {10.1145/1219092.1219096}, ) @inproceedings(dunjko2014composable, author = {Vedran Dunjko and Joseph F Fitzsimons and Christopher Portmann and Renato Renner}, year = {2014}, title = {Composable security of delegated quantum computation}, booktitle = {International Conference on the Theory and Application of Cryptology and Information Security}, organization = {Springer}, pages = {406--425}, doi = {10.1007/978-3-662-45608-8_22}, ) @article(ekert1991quantum, author = {Artur K Ekert}, year = {1991}, title = {Quantum cryptography based on Bell’s theorem}, journal = {Physical review letters}, volume = {67}, number = {6}, pages = {661}, doi = {10.1103/PhysRevLett.67.661}, ) @article(feynman1982simulating, author = {Richard P Feynman}, year = {1982}, title = {Simulating physics with computers}, journal = {International journal of theoretical physics}, volume = {21}, number = {6}, pages = {467--488}, doi = {10.1007/BF02650179}, ) @article(fitzsimons2012unconditionally, author = {Joseph F. Fitzsimons and Elham Kashefi}, year = {2017}, title = {Unconditionally verifiable blind quantum computation}, journal = {Phys. Rev. A}, volume = {96}, pages = {012303}, doi = {10.1103/PhysRevA.96.012303}, ) @article(gao2017quantum, author = {Xun Gao and Sheng-Tao Wang and L-M Duan}, year = {2017}, title = {Quantum supremacy for simulating a translation-invariant Ising spin model}, journal = {Physical Review Letters}, volume = {118}, number = {4}, pages = {040502}, doi = {10.1103/PhysRevLett.118.040502}, ) @article(gard2015introduction, author = {Bryan T Gard and Keith R Motes and Jonathan P Olson and Peter P Rohde and Jonathan P Dowling}, year = {2015}, title = {An introduction to boson-sampling}, journal = {From atomic to mesoscale: The role of quantum coherence in systems of various complexities. World Scientific Publishing Co. Pte. Ltd}, pages = {167--92}, doi = {10.1142/9789814678704_0008}, ) @article(georgescu2014quantum, author = {IM Georgescu and S Ashhab and Franco Nori}, year = {2014}, title = {Quantum simulation}, journal = {Reviews of Modern Physics}, volume = {86}, number = {1}, pages = {153}, doi = {10.1103/RevModPhys.86.153}, ) @inproceedings(grover1996fast, author = {Lov K Grover}, year = {1996}, title = {A fast quantum mechanical algorithm for database search}, booktitle = {Proceedings of the twenty-eighth annual ACM symposium on Theory of computing}, organization = {ACM}, pages = {212--219}, doi = {10.1145/237814.237866}, ) @article(hein2004multiparty, author = {Marc Hein and Jens Eisert and Hans J Briegel}, year = {2004}, title = {Multiparty entanglement in graph states}, journal = {Physical Review A}, volume = {69}, number = {6}, pages = {062311}, doi = {10.1103/PhysRevA.69.062311}, ) @article(hoban2014measurement, author = {Matty J Hoban and Joel J Wallman and Hussain Anwar and Na{\"\i}ri Usher and Robert Raussendorf and Dan E Browne}, year = {2014}, title = {Measurement-based classical computation}, journal = {Physical review letters}, volume = {112}, number = {14}, pages = {140505}, doi = {10.1103/PhysRevLett.112.140505}, ) @article(kapourniotis2017nonadaptive, author = {Theodoros Kapourniotis and Animesh Datta}, year = {2017}, title = {Nonadaptive fault-tolerant verification of quantum supremacy with noise}, journal = {arXiv preprint arXiv:1703.09568}, ) @article(kashefi2017optimised, author = {Elham Kashefi and Petros Wallden}, year = {2017}, title = {Optimised resource construction for verifiable quantum computation}, journal = {Journal of Physics A: Mathematical and Theoretical}, volume = {50}, number = {14}, pages = {145306}, doi = {10.1088/1751-8121/aa5dac}, ) @article(knill1998power, author = {Emanuel Knill and Raymond Laflamme}, year = {1998}, title = {Power of one bit of quantum information}, journal = {Physical Review Letters}, volume = {81}, number = {25}, pages = {5672}, doi = {10.1103/PhysRevLett.81.5672}, ) @inproceedings(maurer2011abstract, author = {Ueli Maurer and Renato Renner}, year = {2011}, title = {Abstract cryptography}, booktitle = {In Innovations in Computer Science}, pages = {1--21}, ) @article(mills2017information, author = {Daniel Mills and Anna Pappa and Theodoros Kapourniotis and Elham Kashefi}, year = {2017}, title = {Information Theoretically Secure Hypothesis Test for Temporally Unstructured Quantum Computation}, journal = {arXiv preprint arXiv:1704.01998}, ) @article(morimae2014hardness, author = {Tomoyuki Morimae and Keisuke Fujii and Joseph F Fitzsimons}, year = {2014}, title = {Hardness of classically simulating the one-clean-qubit model}, journal = {Physical review letters}, volume = {112}, number = {13}, pages = {130502}, doi = {10.1103/PhysRevLett.112.130502}, ) @article(van2008completeness, author = {Van den Nest, Maarten and Wolfgang D{\"u}r and Hans J Briegel}, year = {2008}, title = {Completeness of the classical 2D Ising model and universal quantum computation}, journal = {Physical review letters}, volume = {100}, number = {11}, pages = {110501}, doi = {10.1103/PhysRevLett.100.110501}, ) @article(neville2017no, author = {Alex Neville and Chris Sparrow and Rapha{\"e}l Clifford and Eric Johnston and Patrick M Birchall and Ashley Montanaro and Anthony Laing}, year = {2017}, title = {No imminent quantum supremacy by boson sampling}, journal = {arXiv preprint arXiv:1705.00686}, ) @book(oxley2006matroid, author = {James G Oxley}, year = {2006}, title = {Matroid theory}, volume = {3}, publisher = {Oxford University Press, USA}, ) @article(portmann2014cryptographic, author = {Christopher Portmann and Renato Renner}, year = {2014}, title = {Cryptographic security of quantum key distribution}, journal = {arXiv preprint arXiv:1409.3525}, ) @article(preskill2012quantum, author = {John Preskill}, year = {2012}, title = {Quantum computing and the entanglement frontier}, journal = {arXiv preprint arXiv:1203.5813}, ) @article(raussendorf2001one, author = {Robert Raussendorf and Hans J Briegel}, year = {2001}, title = {A one-way quantum computer}, journal = {Physical Review Letters}, volume = {86}, number = {22}, pages = {5188}, doi = {10.1103/PhysRevLett.86.5188}, ) @article(raussendorf2003measurement, author = {Robert Raussendorf and Daniel E Browne and Hans J Briegel}, year = {2003}, title = {Measurement-based quantum computation on cluster states}, journal = {Physical review A}, volume = {68}, number = {2}, pages = {022312}, doi = {10.1103/PhysRevA.68.022312}, ) @inproceedings(shepherd2009temporally, author = {Dan Shepherd and Michael J Bremner}, year = {2009}, title = {Temporally unstructured quantum computation}, booktitle = {Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences}, volume = {465}, organization = {The Royal Society}, pages = {1413--1439}, doi = {10.1098/rspa.2008.0443}, ) @article(shor1999polynomial, author = {Peter W Shor}, year = {1999}, title = {Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer}, journal = {SIAM review}, volume = {41}, number = {2}, pages = {303--332}, doi = {10.1137/S0036144598347011}, ) @incollection(spekkens2016quasi, author = {Robert W Spekkens}, year = {2016}, title = {Quasi-quantization: classical statistical theories with an epistemic restriction}, booktitle = {Quantum Theory: Informational Foundations and Foils}, publisher = {Springer}, pages = {83--135}, doi = {10.1007/978-94-017-7303-4_4}, )