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On Bell's theorem for N‐qubits
Author(s) -
Żukowski M.,
Brukner C.
Publication year - 2003
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200310071
Subject(s) - bell's theorem , bell state , local hidden variable theory , bell test experiments , qubit , observable , kochen–specker theorem , mathematics , chsh inequality , state (computer science) , correlation function (quantum field theory) , function (biology) , quantum mechanics , statistical physics , mathematical physics , physics , quantum entanglement , quantum , algorithm , evolutionary biology , dielectric , biology
We present a single general Bell inequality that summarizes all possible Bell type constrains on the correlation function for the N‐particle system (i.e., it is a necessary and sufficient condition for the existence of local realistic models for the correlation function). It is applicable in the case when measurements on each particle can be chosen between two arbitrary dichotomic observables. We also obtain a necessary and sufficient condition for an arbitrary N‐qubit mixed state to violate this general Bell inequality.