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Algorithmic construction of local hidden variable models for entangled quantum states

2 Pith papers cite this work, alongside 79 external citations. Polarity classification is still indexing.

2 Pith papers citing it
79 external citations · Pith
abstract

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.

fields

quant-ph 2

years

2026 1 2025 1

verdicts

UNVERDICTED 2

representative citing papers

Can outcome communication explain Bell nonlocality?

quant-ph · 2025-10-14 · 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.

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