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Multi-party local quantum operations with shared quantum entanglement or shared classical randomness are studied.
Convex Analysis
R. T. Rockafellar · 1970
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Informational complexity and efficient methods for the solution of convex extremal problems
D. Yudin and A. Nemirovskiĭ · 1976
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Geometric Algorithms and Combinatorial Optimization
M. Grötschel, L. Lovász, and A. Schrijver · 1988
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Quantum nonlocality as an axiom
S. Popescu and D. Rohrlich · 1994
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Separability of mixed states: necessary and sufficient conditions
M. Horodecki, P. Horodecki, and R. Horodecki · 1996
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Entanglement purification via separable superoperators, 1997
E. Rains · 1997
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Proof verification and the hardness of approximation problems
S. Arora, C. Lund, R. Motwani, M. Sudan, and M. Szegedy · 1998
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Probabilistic checking of proofs: a new characterization of NP
S. Arora and S. Safra · 1998
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Causal and localizable quantum operations
D. Beckman, D. Gottesman, M. Nielsen, and J. Preskill · 2001
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Separability of n n -particle mixed states: necessary and sufficient conditions in terms of linear maps
M. Horodecki, P. Horodecki, and R. Horodecki · 2001
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Semicausal operations are semilocalizable
T. Eggeling, D. Schlingemann, and R. Werner · 2002
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Largest separable balls around the maximally mixed bipartite quantum state
L. Gurvits and H. Barnum · 2002
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Quantum matching theory (with new complexity theoretic, combinatorial and topological insights on the nature of quantum entanglement), 2002
L. Gurvits · 2002
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Separable balls around the maximally mixed multipartite quantum states
L. Gurvits and H. Barnum · 2003
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Quantum multi-prover interactive proof systems with limited prior entanglement
H. Kobayashi and K. Matsumoto · 2003
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Consequences and limits of nonlocal strategies
R. Cleve, P. Høyer, B. Toner, and J. Watrous · 2004
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Better bound on the exponent of the radius of the multipartite separable ball
R. Cleve, D. Gavinsky, and R. Jain · 2007
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Strong parallel repetition theorem for quantum XOR proof systems
R. Cleve, W. Slofstra, F. Unger, and S. Upadhyay · 2007
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Toward a general theory of quantum games
G. Gutoski and J. Watrous · 2007
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Entangled games are hard to approximate
J. Kempe, H. Kobayashi, K. Matsumoto, B. Toner, and T. Vidick · 2007
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The Complexity of the Consistency and N N -representability Problems for Quantum States
Yi-Kai Liu · 2007
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The volume of separable states is super-doubly-exponentially small
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