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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2504.18045 |
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| _version_ | 1866913843642368000 |
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| author | Kumari, Asmita Patra, Saikat |
| author_facet | Kumari, Asmita Patra, Saikat |
| contents | 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 $n\geq 4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_18045 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Revealing hidden nonlocality and preparation contextuality for an arbitrary input Bell inequality Kumari, Asmita Patra, Saikat Quantum Physics 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 $n\geq 4$. |
| title | Revealing hidden nonlocality and preparation contextuality for an arbitrary input Bell inequality |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2504.18045 |