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This paper establishes that two-qutrit Werner states possess local hidden-variable models across all parameter values under specific measurement scenarios, resolving a fundamental question regarding the boundary between classical and quantum correlations in higher-dimensional systems. By deriving a sufficient condition tied to the Collins-Gisin-Linden-Massar-Popescu inequality, the work provides rigorous theoretical constraints on non-locality for qutrits, advancing our understanding of quantum information theory without relying on AI or machine learning techniques.
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Two-qutrit Werner state is always local

arXiv1 min read

arXiv:2610.02997v1 Announce Type: new Abstract: In our paper, we show that a two-qutrit Werner state admits a local hidden-variable model for all values of the parameter in a scenario involving two projective measurements per site, with three outcomes per measurement. To this end, we derive a simple sufficient condition under which a two-qutrit state satisfies the Collins-Gisin-Linden-Massar-Popescu inequality for arbitrary choices of Alice's and Bob's observables, and show that the Werner state always satisfies this condition. Next, we use the fact that any two-qutrit state satisfying the Collins-Gisin-Linden-Massar-Popescu inequality for arbitrary choices of Alice's and Bob's observables admits a local hidden variable model.

Abstract:In our paper, we show that a two-qutrit Werner state admits a local hidden-variable model for all values of the parameter in a scenario involving two projective measurements per site, with three outcomes per measurement. To this end, we derive a simple sufficient condition under which a two-qutrit state satisfies the Collins-Gisin-Linden-Massar-Popescu inequality for arbitrary choices of Alice's and Bob's observables, and show that the Werner state always satisfies this condition. Next, we use the fact that any two-qutrit state satisfying the Collins-Gisin-Linden-Massar-Popescu inequality for arbitrary choices of Alice's and Bob's observables admits a local hidden variable model.

arXiv:2610.02997 [quant-ph]

(or arXiv:2610.02997v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2610.02997 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 189 words

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