27 Nov 2025 Thu 4 pm

We investigate the effect of local perception operators (LPO) in the framework of Bell-type inequalities. These Bell-type inequalities are used to characterize whether a given state is nonlocal (quantum) or it has a local hidden variable description (classical). There exist a hierarchy of inequalities, where violation of any one of them by a given state can signature nonlocality. However, the converse question—whether a given state is local—is not easy to answer. In this work we introduce a LPO based witness aimed at answering this question. Our construction treats both asymmetric (one-sided) and symmetric (two-sided) LPO witnesses and is formulated directly at the level of optimized measurement statistics. We show how the witness leads to state-aware constraints that depend on local marginals and measurement geometry, with natural specializations to canonical scenarios. The resulting criteria are practical—built from first moments and standard projective measurements—and provide a way to certify compatibility with LHV explanations for the LPO-processed data in regimes where conventional Bell violations may be inconclusive. Operationally, our witnesses give practical, optimization-based tests that can certify compatibility with LHV models in regimes where standard Bell violations are inconclusive, clarifying how local mixedness suppresses nonlocal signatures.

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