For any qubit-qudit state under all projective measurements, an LHV model with outcome communication exists if and only if a standard LHV model without communication exists.
General method for constructing local-hidden-variable models for entangled quantum states
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abstract
Entanglement allows for the nonlocality of quantum theory, which is the resource behind device-independent quantum information protocols. However, not all entangled quantum states display nonlocality, and a central question is to determine the precise relation between entanglement and nonlocality. Here we present the first general test to decide whether a quantum state is local, and that can be implemented by semidefinite programming. This method can be applied to any given state and for the construction of new examples of states with local hidden-variable models for both projective and general measurements. As applications we provide a lower bound estimate of the fraction of two-qubit local entangled states and present new explicit examples of such states, including those which arise from physical noise models, Bell-diagonal states, and noisy GHZ and W states.
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quant-ph 2verdicts
UNVERDICTED 2representative citing papers
Non-adaptive non-signaling assistance simulates quantum communication in PM scenarios with a classical dit replacing a qudit, while adaptive NS advantages are confined to single-setting receiver cases.
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Can outcome communication explain Bell nonlocality?
For any qubit-qudit state under all projective measurements, an LHV model with outcome communication exists if and only if a standard LHV model without communication exists.