Multipartite Nonlocal Quantum Correlations Resistant to Imperfections

Abstract

We use techniques for lower bounds on communication to derive necessary conditions in terms of detector efficiency or amount of super-luminal communication for being able to reproduce with classical local hidden-variable theories the quantum correlations occurring in EPR-type experiments in the presence of noise. We apply our method to an example involving n parties sharing a GHZ-type state on which they carry out measurements and show that for local-hidden variable theories, the amount of super-luminal classical communication c and the detector efficiency eta are constrained by eta 2^(-c/n) = O(n^(-1/6)) even for constant general error probability epsilon = O(1).

References in corpus (3)

• Non locality, closing the detection loophole and communication complexity
• Violation of local realism vs detection efficiency
• Combinatorics and Quantum Nonlocality

Cited by in corpus (5)

• Non-locality and Communication Complexity
• Lower bounds on information complexity via zero-communication protocols and applications
• Bell-CHSH function approach to quantum phase transitions in matrix product systems
• Classical and quantum partition bound and detector inefficiency
• Classical Interaction Cannot Replace Quantum Nonlocality