Nonclassicality of local bipartite correlations

Abstract

Simulating quantum nonlocality and steering requires augmenting pre-shared randomness with non-vanishing communication cost. This prompts the question of how one may provide such an operational characterization for the quantumness of correlations due even to unentangled states. Here we show that for a certain class of states, such quantumness can be pointed out by superlocality, the requirement for a larger dimension of the pre-shared randomness to simulate the correlations than that of the quantum state that generates them. This provides an approach to define the nonclassicality of local multipartite correlations in convex operational theories.

6 pages, 2 figures

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Cited by in corpus (10)

• Quantum Resource Theories
• Operational characterization of quantumness of unsteerable bipartite states
• Superunsteerability as a quantifiable resource for random access codes assisted by Bell-diagonal states
• Operational nonclassicality of local multipartite correlations in the limited-dimensional simulation scenario
• Characterization of the quantumness of unsteerable tripartite correlations
• Asymmetric One-Sided Semi-Device-Independent Steerability of Quantum Discordant States
• Certifying quantumness beyond steering and nonlocality and its implications on quantum information processing
• The operational reality of quantum nonlocality
• Local-hidden-state models for T-states using finite shared randomness
• Contextuality, superlocality and nonclassicality of supernoncontextuality