Revealing hidden nonlocality and preparation contextuality for an arbitrary input Bell inequality

• URL: http://arxiv.org/abs/2504.18045v1
• Date: Fri, 25 Apr 2025 03:26:37 GMT
• Title: Revealing hidden nonlocality and preparation contextuality for an arbitrary input Bell inequality
• Authors: Asmita Kumari, Saikat Patra,
• Abstract summary: We study the activation of hidden nonlocality and preparation contextuality for a class of mixed entangled states.<n>We show that using local filtering operations on local mixed entangled state, the nonlocality can be revealed for any non-zero value of the mixedness parameter.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In recent years, the activation of hidden nonlocality for a mixed entangled state, admitting a local model, has gained considerable interest. In this paper, we study the activation of hidden nonlocality and preparation contextuality for a class of mixed entangled states, using local filtering operations. For our demonstration, we consider the two-party (Alice and Bob) one-way communication game known as parity oblivious random access code (PORAC). The quantum success probability of such $n$-bit PORAC solely depends on a Bell functional involving $2^{n-1}$ and $n$ dichotomic measurement settings for Alice and Bob, respectively. Such a Bell functional has two classical bounds, the local and the preparation non-contextual. We show that using local filtering operations on local mixed entangled state, the nonlocality can be revealed for any non-zero value of the mixedness parameter of the entangled state if $n\geq6$. Further, we show that the preparation contextuality, which is a comparatively weaker quantum correlation than nonlocality, can be revealed for any non-zero value of the mixedness parameter of the entangled state if $n\geq 4$.

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