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Algorithmic construction of local hidden variable models for entangled quantum states

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arxiv 1512.00262 v2 pith:DNMTBGJG submitted 2015-12-01 quant-ph

Algorithmic construction of local hidden variable models for entangled quantum states

classification quant-ph
keywords localmodelsquantumstatesentangledhiddenconstructingmeasurements
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Constructing local hidden variable (LHV) models for entangled quantum states is challenging, as the model should reproduce quantum predictions for all possible local measurements. Here we present a simple method for building LHV models, applicable to general entangled states, which consists in verifying that the statistics resulting from a finite set of measurements is local, a much simpler problem. This leads to a sequence of tests which, in the limit, fully capture the set of quantum states admitting a LHV model. Similar methods are developed for constructing local hidden state models. We illustrate the practical relevance of these methods with several examples, and discuss further applications.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Can outcome communication explain Bell nonlocality?

    quant-ph 2025-10 unverdicted novelty 7.0

    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.

  2. Non-signaling assistance in prepare-and-measure scenarios with classical communication

    quant-ph 2026-07 unverdicted novelty 6.0

    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.