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Quantum information leverages properties of quantum behaviors in order to perform useful tasks such as secure communication and randomness certification.
On the Einstein-Podolsky-Rosen paradox
J. S. Bell · 1964
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Positive definite completions of partial hermitian matrices
R. Grone, C. Johnson, E. Sá, and H. Wolkowicz · 1984
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Journal of Mathematical Physics
S. J. Summers and R. Werner · 1987
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Quantum analogues of the Bell inequalities: The case of two spatially separated domains
B. S. Tsirelson · 1987
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Empirical two-point correlation functions
L. J. Landau · 1988
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Physical Review Letters
A. K. Ekert · 1991
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Quantum mechanics, local realistic theories, and Lorentz-invariant realistic theories
L. Hardy · 1992
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Which states violate Bell’s inequality maximally?
S. Popescu and D. Rohrlich · 1992
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The real positive definite completion problem for a simple cycle
W. Barrett, C. R. Johnson, and P. Tarazaga · 1993
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Some results and problems on quantum Bell-type inequalities
B. S. Tsirelson · 1993
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A note on extreme correlation matrices
C.-K. Li and B.-S. Tam · 1994
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Convexity
R. Webster · 1994
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Complementarity and nondegeneracy in semidefinite programming
F. Alizadeh, J.-P. A. Haeberly, and M. L. Overton · 1997
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The real positive semidefinite completion problem for series-parallel graphs
M. Laurent · 1997
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Geometric representations of graphs
L. Lovász and K. Vesztergombi · 1999
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Encyclopedia of optimization
C. A. Floudas and P. M. Pardalos · 2001
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A course in convexity
A. Barvinok · 2002
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Aspects of semidefinite programming. Interior Point Algorithms and Selected Applications
E. De Klerk · 2002
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Self testing quantum apparatus
D. Mayers and A. Yao · 2003
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Extremal quantum correlations for N parties with two dichotomic observables per site
L. Masanes · 2005
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The quantum moment problem and bounds on entangled multi-prover games
Forbidden minor characterizations for low-rank optimal solutions to semidefinite programs over the elliptope
M.-E. Nagy, M. Laurent, and A. Varvitsiotis · 2014
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Coordinate shadows of semidefinite and euclidean distance matrices
D. Drusvyatskiy, G. Pataki, and H. Wolkowicz · 2015
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Physical Review Letters
M. Giustina, M. A. Versteegh, S. Wengerowsky, J. Handsteiner, A. Hochrainer, K. Phelan, F. Steinlechner, J. Kofler, J.-Å. Larsson, C. Abellán, et al · 2015
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Loophole-free bell inequality violation using electron spins separated by 1.3 kilometres
B. Hensen, H. Bernien, A. E. Dréau, A. Reiserer, N. Kalb, M. S. Blok, J. Ruitenberg, R. F. Vermeulen, R. N. Schouten, C. Abellán, et al · 2015
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Strong loophole-free test of local realism
L. K. Shalm, E. Meyer-Scott, B. G. Christensen, P. Bierhorst, M. A. Wayne, M. J. Stevens, T. Gerrits, S. Glancy, D. R. Hamel, M. S. Allman, et al · 2015
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A. C. Doherty, Y.-C. Liang, B. Toner, and S. Wehner · 2008
Cited alongside, same era.
A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
M. Navascués, S. Pironio, and A. Acín · 2008
Cited alongside, same era.
Quantum and relativistic protocols for secure multi-party computation
R. Colbeck · 2009
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Geometry of cuts and metrics
M. Deza and M. Laurent · 2009
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A glance beyond the quantum model
M. Navascués and H. Wunderlich · 2009
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Information causality as a physical principle
M. Pawłowski, T. Paterek, D. Kaszlikowski, V. Scarani, A. Winter, and M. Żukowski · 2009
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All the self-testings of the singlet for two binary measurements
Y. Wang, X. Wu, and V. Scarani · 2016
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All pure bipartite entangled states can be self-tested
A. Coladangelo, K. T. Goh, and V. Scarani · 2017
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Matrices with high completely positive semidefinite rank
S. Gribling, D. de Laat, and M. Laurent · 2017
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Self-testing of binary observables based on commutation
J. Kaniewski · 2017
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Completely positive semidefinite rank
A. Prakash, J. Sikora, A. Varvitsiotis, and Z. Wei · 2017
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The set of quantum correlations is not closed
W. Slofstra · 2017
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Singularity degree of the positive semidefinite matrix completion problem
S.-I. Tanigawa · 2017
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Geometry of the set of quantum correlations
K. T. Goh, J. Kaniewski, E. Wolfe, T. Vértesi, X. Wu, Y. Cai, Y.-C. Liang, and V. Scarani · 2018
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