2001Physical Review AOpen access

Bell inequality for Werner states

Xiaohua Wu, Hong-Shi Zong, Pang Hou-Rong, Fan Wang

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Abstract

Choosing four entangled states to form an orthogonal and complete basis for a two-particle system, we argue that a local hidden variable model should give the probability of each entangled state if the two-particle system is described by a mixed state. Under these conditions, a Bell inequality is derived for the Werner states, and a nonlocality proof can be given for nonsequential measurements.

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Choosing four entangled states to form an orthogonal and complete basis for a two-particle system, we argue that a local hidden variable model should give the probability of each entangled state if the two-particle system is described by a mixed state. Under these conditions, a Bell inequality is derived for the Werner states, and a nonlocality proof can be given for nonsequential measurements.

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Available abstract

Choosing four entangled states to form an orthogonal and complete basis for a two-particle system, we argue that a local hidden variable model should give the probability of each entangled state if the two-particle system is described by a mixed state. Under these conditions, a Bell inequality is derived for the Werner states, and a nonlocality proof can be given for nonsequential measurements.

Key concepts: Quantum nonlocality, Hidden variable theory, Bell's theorem, State (computer science), Bell state, CHSH inequality, Inequality, Local hidden variable theory

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