TY - JOUR
T1 - Joint System Quantum Descriptions Arising from Local Quantumness
AU - Cooney, Tom
AU - Junge, Marius
AU - Navascués, Miguel
AU - Pérez-García, David
AU - Villanueva, Ignacio
PY - 2013/9
Y1 - 2013/9
N2 - Bipartite correlations generated by non-signalling physical systems that admit a finite-dimensional local quantum description cannot exceed the quantum limits, i.e., they can always be interpreted as distant measurements of a bipartite quantum state. Here we consider the effect of dropping the assumption of finite dimensionality. Remarkably, we find that the same result holds provided that we relax the tensor structure of space-like separated measurements to mere commutativity. We argue why an extension of this result to tensor representations seems unlikely.
AB - Bipartite correlations generated by non-signalling physical systems that admit a finite-dimensional local quantum description cannot exceed the quantum limits, i.e., they can always be interpreted as distant measurements of a bipartite quantum state. Here we consider the effect of dropping the assumption of finite dimensionality. Remarkably, we find that the same result holds provided that we relax the tensor structure of space-like separated measurements to mere commutativity. We argue why an extension of this result to tensor representations seems unlikely.
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U2 - 10.1007/s00220-013-1696-z
DO - 10.1007/s00220-013-1696-z
M3 - Article
AN - SCOPUS:84880506222
SN - 0010-3616
VL - 322
SP - 501
EP - 513
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 2
ER -