Measure-independent anomaly of nonlocality

Abstract

We show that any Bell local state, with a hidden nonlocality that can be revealed by local filtering, is more, or equally, entangled than nonlocal states. More precisely, it can be deterministically transformed into a nonlocal state, by local operations and classical communication. For such a state, there is a clear anomaly of nonlocality, for any measures of entanglement and nonlocality. Moreover, we prove that the hidden nonlocality of any bipartite state more, or equally, entangled than nonlocal states, can be revealed by local operations and the sending of two one-bit messages, one in each direction. For some particular states, one bit of communication is even enough.

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• Bell nonlocality
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• More non-locality with less entanglement
• Entanglement without hidden nonlocality
• Activation of Non-Local Quantum Resources
• There is no anomaly in the nonlocality of two entangled qutrits
• Monogamy inequality for any local quantum resource and entanglement
• Nonlocality activation in entanglement swapping chains
• Monogamy inequality for entanglement and local contextuality

Cited by in corpus (9)

• Nonanomalous measure of realism-based nonlocality
• Survey on the Bell nonlocality of a pair of entangled qudits
• Resilience of realism-based nonlocality to local disturbance
• Tripartite realism-based quantum nonlocality
• Genuine activation of nonlocality: From locally available to locally hidden information
• Entanglement cost of discriminating noisy Bell states by local operations and classical communication
• Information-disturbance trade-off in generalized entanglement swapping
• Quantifying nonlocality as a resource for device-independent quantum key distribution
• Existence of maximally correlated states