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We introduce a notion of matrix valued Gram decompositions for correlation matrices whose study is motivated by quantum information theory.
Quantum analogues of the Bell inequalities: The case of two spatially separated domains
B. S. Tsirelson · 1987
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Extremal correlation matrices
R. Grone, S. Pierce, and W. Watkins · 1990
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Some results and problems on quantum Bell-type inequalities
B. S. Tsirelson · 1993
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Completely positive matrices associated with M-matrices
J. Drew, C. Johnson, and R. Loewy · 1994
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A note on extremal correlation matrices
C.-K. Li and B.-S. Tam · 1994
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Geometry of cuts and metrices
M. Deza and M. Laurent · 1997
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Completely Positive Matrices
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Conic approach to quantum graph parameters using linear optimization over the completely positive semidefinite cone
M. Laurent and T. Piovesan · 2015
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Conic formulations of graph homomorphisms
D. E. Roberson · 2016
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Matrices with high completely positive semidefinite rank
S. Gribling, D. de Laat, and M. Laurent · 2017
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Linear conic formulations for two-party correlations and values of nonlocal games
J. Sikora and A. Varvitsiotis · 2017
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Hyperbolic polynomials and generalized clifford algebras
T. Netzer and A. Thom · 2014
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Non-closure of the set of quantum correlations via graphs
K. Dykema, V. I. Paulsen, and J. Prakash
Cited in the paper.
M. Musat and M. Rørdam
Cited in the paper.
The set of quantum correlations is not closed
W. Slofstra
Cited in the paper.
Completely positive semidefinite rank
A. Prakash, J. Sikora, A. Varvitsiotis, and Z. Wei · 2018
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