Local hidden variable models for entangled quantum states using finite shared randomness

Abstract

The statistics of local measurements performed on certain entangled states can be reproduced using a local hidden variable (LHV) model. While all known models make use of an infinite amount of shared randomness---the physical relevance of which is questionable---we show that essentially all entangled states admitting a LHV model can be simulated with finite shared randomness. Our most economical model simulates noisy two-qubit Werner states using only 3.58 bits of shared randomness. We also discuss the case of POVMs, and the simulation of nonlocal states with finite shared randomness and finite communication. Our work represents a first step towards quantifying the cost of LHV models for entangled quantum states.

9 pages, 2 figures. One graph changed, one typo corrected

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Cited by in corpus (29)

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• Algorithmic construction of local hidden variable models for entangled quantum states
• Measurement incompatibility does not give rise to Bell violation in general
• Entanglement without hidden nonlocality
• Type-independent Characterization of Spacelike Separated Resources
• Incompatible quantum measurements admitting a local hidden variable model
• Covariance Bell inequalities
• Classical Cost of Transmitting a Qubit
• Algorithmic construction of local models for entangled quantum states: optimization for two-qubit states
• EPR Steering inequalities with Communication Assistance
• Quantum Advantage for Shared Randomness Generation
• Operational nonclassicality of local multipartite correlations in the limited-dimensional simulation scenario
• Classical analogue of quantum superdense coding and communication advantage of a single quantum system
• Local-hidden-state models for Bell diagonal states and beyond
• Towards Necessary and sufficient state condition for violation of a multi-settings Bell inequality
• Remote state preparation by multiple observers using a single copy of a two-qubit entangled state
• 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
• Postquantum steering
• Smallest state spaces for which bipartite entangled quantum states are separable
• Quantum Advantage: A Single Qubit's Experimental Edge in Classical Data Storage
• Cost of Simulating Entanglement in Steering Scenario
• Bell Nonlocality and the Reality of Quantum Wavefunction
• Loophole-free Bell tests with randomly chosen subsets of measurement settings
• Local-hidden-state models for T-states using finite shared randomness