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references.bib
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@article{Einstein35,
title = {Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?},
author = {Einstein, A. and Podolsky, B. and Rosen, N.},
journal = {Phys. Rev.},
volume = {47},
issue = {10},
pages = {777--780},
numpages = {0},
year = {1935},
month = {5},
publisher = {American Physical Society},
doi = {10.1103/PhysRev.47.777},
url = {https://link.aps.org/doi/10.1103/PhysRev.47.777}
}
@article{Schrödinger35,
title={Discussion of Probability Relations between Separated Systems},
volume={31},
doi={10.1017/S0305004100013554},
number={4},
journal={Mathematical Proceedings of the Cambridge Philosophical Society},
publisher={Cambridge University Press},
author={Schrödinger,
E.},
year={1935},
pages={555–563}
}
@book{Nielsen2012,
doi = {10.1017/cbo9780511976667},
url = {https://doi.org/10.1017/cbo9780511976667},
year = {2012},
month = jun,
publisher = {Cambridge University Press},
author = {Michael A. Nielsen and Isaac L. Chuang},
title = {Quantum Computation and Quantum Information}
}
@article{Acin2016,
doi = {10.1038/nature20119},
url = {https://doi.org/10.1038/nature20119},
year = {2016},
month = dec,
publisher = {Springer Science and Business Media {LLC}},
volume = {540},
number = {7632},
pages = {213--219},
author = {Antonio Ac\'in and Lluis Masanes},
title = {Certified randomness in quantum physics},
journal = {Nature}
}
@article{Bru2002,
doi = {10.1080/09500340110105975},
url = {https://doi.org/10.1080/09500340110105975},
year = {2002},
month = jul,
publisher = {Informa {UK} Limited},
volume = {49},
number = {8},
pages = {1399--1418},
author = {Dagmar Bru{\ss} and J. Ignacio Cirac and Pawel Horodecki and Florian Hulpke and Barbara Kraus and Maciej Lewenstein and Anna Sanpera},
title = {Reflections upon separability and distillability},
journal = {Journal of Modern Optics}
}
@article{Coladangelo2017,
doi = {10.1038/ncomms15485},
url = {https://doi.org/10.1038/ncomms15485},
year = {2017},
month = may,
publisher = {Springer Science and Business Media {LLC}},
volume = {8},
number = {1},
author = {Andrea Coladangelo and Koon Tong Goh and Valerio Scarani},
title = {All pure bipartite entangled states can be self-tested},
journal = {Nature Communications}
}
@incollection{MauroDAriano2003,
doi = {10.1016/s1076-5670(03)80065-4},
url = {https://doi.org/10.1016/s1076-5670(03)80065-4},
year = {2003},
publisher = {Elsevier},
pages = {205--308},
author = {G. Mauro D'Ariano and Matteo G.A. Paris and Massimiliano F. Sacchi},
title = {Quantum Tomography},
booktitle = {Advances in Imaging and Electron Physics}
}
@article{Yang2013,
title = {Robust self-testing of unknown quantum systems into any entangled two-qubit states},
author = {Yang, Tzyh Haur and Navascu\'es, Miguel},
journal = {Phys. Rev. A},
volume = {87},
issue = {5},
pages = {050102},
numpages = {4},
year = {2013},
month = {May},
publisher = {American Physical Society},
doi = {10.1103/PhysRevA.87.050102},
url = {https://link.aps.org/doi/10.1103/PhysRevA.87.050102}
}
@article{Bamps2015,
title = {Sum-of-squares decompositions for a family of Clauser-Horne-Shimony-Holt-like inequalities and their application to self-testing},
author = {Bamps, C\'edric and Pironio, Stefano},
journal = {Phys. Rev. A},
volume = {91},
issue = {5},
pages = {052111},
numpages = {13},
year = {2015},
month = {May},
publisher = {American Physical Society},
doi = {10.1103/PhysRevA.91.052111},
url = {https://link.aps.org/doi/10.1103/PhysRevA.91.052111}
}
@incollection{Magniez2006,
doi = {10.1007/11786986_8},
url = {https://doi.org/10.1007/11786986_8},
year = {2006},
publisher = {Springer Berlin Heidelberg},
pages = {72--83},
author = {Fr{\'{e}}d{\'{e}}ric Magniez and Dominic Mayers and Michele Mosca and Harold Ollivier},
title = {Self-testing of Quantum Circuits},
booktitle = {Automata, Languages and Programming}
}
@article{Navascues2007,
doi = {10.1103/physrevlett.98.010401},
url = {https://doi.org/10.1103/physrevlett.98.010401},
year = {2007},
month = jan,
publisher = {American Physical Society ({APS})},
volume = {98},
number = {1},
author = {Miguel Navascu{\'{e}}s and Stefano Pironio and Antonio Ac\'{i}n},
title = {Bounding the Set of Quantum Correlations},
journal = {Physical Review Letters}
}
@article{Pironio2010,
author = {Pironio, S. and Navascu\'{e}s, M. and Ac\'{i}n, A.},
title = {Convergent Relaxations of Polynomial Optimization Problems with Noncommuting Variables},
journal = {SIAM Journal on Optimization},
volume = {20},
number = {5},
pages = {2157-2180},
year = {2010},
doi = {10.1137/090760155},
URL = { https://doi.org/10.1137/090760155},
eprint = { https://doi.org/10.1137/090760155},
abstract = { We consider optimization problems with polynomial inequality constraints in noncommuting variables. These noncommuting variables are viewed as bounded operators on a Hilbert space whose dimension is not fixed and the associated polynomial inequalities as semidefinite positivity constraints. Such problems arise naturally in quantum theory and quantum information science. To solve them, we introduce a hierarchy of semidefinite programming relaxations which generates a monotone sequence of lower bounds that converges to the optimal solution. We also introduce a criterion to detect whether the global optimum is reached at a given relaxation step and show how to extract a global optimizer from the solution of the corresponding semidefinite programming problem. }
}
@article{Bancal2021,
doi = {10.22331/q-2021-03-02-401},
url = {https://doi.org/10.22331/q-2021-03-02-401},
title = {Self-testing with finite statistics enabling the certification of a quantum network link},
author = {Bancal, Jean-Daniel and Redeker, Kai and Sekatski, Pavel and Rosenfeld, Wenjamin and Sangouard, Nicolas},
journal = {{Quantum}},
issn = {2521-327X},
publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
volume = {5},
pages = {401},
month = mar,
year = {2021}
}
@article{Tan2017,
doi = {10.1103/physrevlett.118.130403},
url = {https://doi.org/10.1103/physrevlett.118.130403},
year = {2017},
month = mar,
publisher = {American Physical Society ({APS})},
volume = {118},
number = {13},
author = {T.{\hspace{0.167em}}R. Tan and Y. Wan and S. Erickson and P. Bierhorst and D. Kienzler and S. Glancy and E. Knill and D. Leibfried and D.{\hspace{0.167em}}J. Wineland},
title = {Chained Bell Inequality Experiment with High-Efficiency Measurements},
journal = {Physical Review Letters}
}
@article{Orsucci2020,
doi = {10.22331/q-2020-03-02-238},
url = {https://doi.org/10.22331/q-2020-03-02-238},
title = {How post-selection affects device-independent claims under the fair sampling assumption},
author = {Orsucci, Davide and Bancal, Jean-Daniel and Sangouard, Nicolas and Sekatski, Pavel},
journal = {{Quantum}},
issn = {2521-327X},
publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
volume = {4},
pages = {238},
month = mar,
year = {2020}
}
@article{Bancal15,
title = {Physical characterization of quantum devices from nonlocal correlations},
author = {Bancal, Jean-Daniel and Navascu\'es, Miguel and Scarani, Valerio and V\'ertesi, Tam\'as and Yang, Tzyh Haur},
journal = {Phys. Rev. A},
volume = {91},
issue = {2},
pages = {022115},
numpages = {16},
year = {2015},
month = {Feb},
publisher = {American Physical Society},
doi = {10.1103/PhysRevA.91.022115},
url = {https://link.aps.org/doi/10.1103/PhysRevA.91.022115}
}
@article{Yang2014,
title = {Robust and Versatile Black-Box Certification of Quantum Devices},
author = {Yang, Tzyh Haur and V\'ertesi, Tam\'as and Bancal, Jean-Daniel and Scarani, Valerio and Navascu\'es, Miguel},
journal = {Phys. Rev. Lett.},
volume = {113},
issue = {4},
pages = {040401},
numpages = {5},
year = {2014},
month = {Jul},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.113.040401},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.113.040401}
}
@article{Woodhead2021,
doi = {10.22331/q-2021-04-26-443},
url = {https://doi.org/10.22331/q-2021-04-26-443},
year = {2021},
month = apr,
publisher = {Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften},
volume = {5},
pages = {443},
author = {Erik Woodhead and Antonio Ac\'{i}n and Stefano Pironio},
title = {Device-independent quantum key distribution with asymmetric {CHSH} inequalities},
journal = {Quantum}
}
@article{Sekatski2021,
doi = {10.22331/q-2021-04-26-444},
url = {https://doi.org/10.22331/q-2021-04-26-444},
year = {2021},
month = apr,
publisher = {Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften},
volume = {5},
pages = {444},
author = {Pavel Sekatski and Jean-Daniel Bancal and Xavier Valcarce and Ernest Y.-Z. Tan and Renato Renner and Nicolas Sangouard},
title = {Device-independent quantum key distribution from generalized {CHSH} inequalities},
journal = {Quantum}
}
@article{Goh2019,
title = {Experimental comparison of tomography and self-testing in certifying entanglement},
author = {Goh, Koon Tong and Perumangatt, Chithrabhanu and Lee, Zhi Xian and Ling, Alexander and Scarani, Valerio},
journal = {Phys. Rev. A},
volume = {100},
issue = {2},
pages = {022305},
numpages = {8},
year = {2019},
month = {Aug},
publisher = {American Physical Society},
doi = {10.1103/PhysRevA.100.022305},
url = {https://link.aps.org/doi/10.1103/PhysRevA.100.022305}
}
@article{Gomez2019,
title = {Experimental investigation of partially entangled states for device-independent randomness generation and self-testing protocols},
author = {G\'omez, S. and Mattar, A. and Machuca, I. and G\'omez, E. S. and Cavalcanti, D. and Far\'{i}as, O. Jim\'enez and Ac\'{i}n, A. and Lima, G.},
journal = {Phys. Rev. A},
volume = {99},
issue = {3},
pages = {032108},
numpages = {6},
year = {2019},
month = {Mar},
publisher = {American Physical Society},
doi = {10.1103/PhysRevA.99.032108},
url = {https://link.aps.org/doi/10.1103/PhysRevA.99.032108}
}
@article{Wang2018,
doi = {10.1126/science.aar7053},
url = {https://doi.org/10.1126/science.aar7053},
year = {2018},
month = mar,
publisher = {American Association for the Advancement of Science ({AAAS})},
volume = {360},
number = {6386},
pages = {285--291},
author = {Jianwei Wang and Stefano Paesani and Yunhong Ding and Raffaele Santagati and Paul Skrzypczyk and Alexia Salavrakos and Jordi Tura and Remigiusz Augusiak and Laura Man{\v{c}}inska and Davide Bacco and Damien Bonneau and Joshua W. Silverstone and Qihuang Gong and Antonio Ac\'{i}n and Karsten Rottwitt and Leif K. Oxenl{\o}we and Jeremy L. O'Brien and Anthony Laing and Mark G. Thompson},
title = {Multidimensional quantum entanglement with large-scale integrated optics},
journal = {Science}
}
@article{Montanaro2016,
doi = {10.4086/toc.gs.2016.007},
url = {https://doi.org/10.4086/toc.gs.2016.007},
year = {2016},
publisher = {Theory of Computing Exchange},
volume = {1},
number = {1},
pages = {1--81},
author = {Ashley Montanaro and Ronald de Wolf},
title = {},
journal = {Theory of Computing}
}
@article{Wang2016,
doi = {10.1088/1367-2630/18/2/025021},
url = {https://doi.org/10.1088/1367-2630/18/2/025021},
year = {2016},
month = feb,
publisher = {{IOP} Publishing},
volume = {18},
number = {2},
pages = {025021},
author = {Yukun Wang and Xingyao Wu and Valerio Scarani},
title = {All the self-testings of the singlet for two binary measurements},
journal = {New Journal of Physics}
}
@article{Brunner14,
title = {Bell nonlocality},
author = {Brunner, Nicolas and Cavalcanti, Daniel and Pironio, Stefano and Scarani, Valerio and Wehner, Stephanie},
journal = {Rev. Mod. Phys.},
volume = {86},
issue = {2},
pages = {419--478},
numpages = {60},
year = {2014},
month = {Apr},
publisher = {American Physical Society},
doi = {10.1103/RevModPhys.86.419},
url = {https://link.aps.org/doi/10.1103/RevModPhys.86.419}
}
@article{Acin2012,
title = {Randomness versus Nonlocality and Entanglement},
author = {Ac\'{i}n, Antonio and Massar, Serge and Pironio, Stefano},
journal = {Phys. Rev. Lett.},
volume = {108},
issue = {10},
pages = {100402},
numpages = {5},
year = {2012},
month = {Mar},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.108.100402},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.108.100402}
}
@article{Wagner2020,
doi = {10.22331/q-2020-03-19-243},
url = {https://doi.org/10.22331/q-2020-03-19-243},
title = {Device-independent characterization of quantum instruments},
author = {Wagner, Sebastian and Bancal, Jean-Daniel and Sangouard, Nicolas and Sekatski, Pavel},
journal = {{Quantum}},
issn = {2521-327X},
publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
volume = {4},
pages = {243},
month = mar,
year = {2020}
}
@article{Braunstein92,
title = {Maximal violation of Bell inequalities for mixed states},
author = {Braunstein, Samuel L. and Mann, A. and Revzen, M.},
journal = {Phys. Rev. Lett.},
volume = {68},
issue = {22},
pages = {3259--3261},
numpages = {0},
year = {1992},
month = {Jun},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.68.3259},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.68.3259}
}
@article{Popescu92,
title = {Which states violate Bell's inequality maximally?},
journal = {Physics Letters A},
volume = {169},
number = {6},
pages = {411-414},
year = {1992},
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