Quantum states satisfying classical probability constraints

• Autorzy: Elena R. Loubenets
• Języki publikacji: EN

Abstrakty

EN

For linear combinations of quantum product averages in an arbitrary bipartite state, we derive new quantum Bell-form and CHSH-form inequalities with the right-hand sides expressed in terms of a bipartite state. This allows us to specify bipartite state properties sufficient for the validity of a classical CHSH-form inequality and the perfect correlation form of the original Bell inequality for any bounded quantum observables. We also introduce a new general condition on a bipartite state and quantum observables sufficient for the validity of the original Bell inequality, in its perfect correlation or anticorrelation forms. Under this general sufficient condition, a bipartite quantum state does not necessarily exhibit Bell's perfect correlations or anticorrelations.

Kategorie tematyczne

• 81P15: Quantum measurement theory
• 47A63: Operator inequalities
• 47A20: Dilations, extensions, compressions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2006
• Tom: 73
• Numer: 1
• Strony: 325-337

Daty

wydano

2006

Twórcy

autor

Elena R. Loubenets

• Applied Mathematics Department, Moscow State Institute of Electronics and Mathematics, Technical University, Trekhsvyatitelskii Per. 3/12, Moscow 109028, Russia

Identyfikatory

DOI

10.4064/bc73-0-25