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arXiv · 2610.02997

Two-qutrit Werner state is always local

Paweł Caban·Muhammad Mohsin
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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.

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Paweł Caban, Muhammad Mohsin. 2026-10-02. Two-qutrit Werner state is always local. https://arxiv.org/abs/2610.02997

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