Crypto-nonlocality in arbitrarily dimensional systems

• URL: http://arxiv.org/abs/2501.03123v1
• Date: Mon, 06 Jan 2025 16:31:25 GMT
• Title: Crypto-nonlocality in arbitrarily dimensional systems
• Authors: Jianqi Sheng, Dongkai Zhang, Lixiang Chen,
• Abstract summary: Bell's theorem states that any model based on local variables cannot reproduce certain quantum correlations.<n>We develop a framework for constructing experimentally testable Leggett-type inequalities for arbitrary dimensions.
• Score: 1.433758865948252
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: According to Bell's theorem, any model based on local variables cannot reproduce certain quantum correlations. A critical question is whether one could devise an alternative framework, based on nonlocal variables, to reproduce quantum correlations while adhering to fundamental principles. Leggett proposed a nonlocal model, termed crypto-nonlocality, rooted in considerations of the reality of photon polarization, but this property restricted it to being bi-dimensional. In this Letter, we extend the crypto-nonlocal model to higher dimensions and develop a framework for constructing experimentally testable Leggett-type inequalities for arbitrary dimensions. Our investigation into models that yield specific predictions exceeding those of quantum mechanics is intriguing from an information-theoretic perspective and is expected to deepen our understanding of quantum correlations.

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