Nonlocal correlations in an asymmetric quantum network

Pan, Alok Kumar (2023) Nonlocal correlations in an asymmetric quantum network. Physical Review A, 107 (2). 022425. ISSN 2469-9926

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Abstract

The nonlocality revealed in a multiparty multisource network Bell experiment is conceptually different than the standard multiparty Bell nonlocality involving a single common source. Here, by introducing variants of asymmetric bilocal as well as trilocal network scenarios, we go beyond the typical bilocal network scenario where both the edge parties have an equal number of measurement settings. We first introduce an asymmetric bilocal network where one of the edge parties (say, Alice) receives 2n-1 inputs and the other edge party (say, Charlie) receives n inputs. We derive two variants of asymmetric bilocality inequalities and demonstrate their optimal quantum violations. Further, we explore two types of asymmetric trilocal scenarios: (i) when two edge parties receive 2n-1 inputs each and the other edge party receives n inputs, and (ii) when one edge party receives 2n-1 inputs and the other two edge parties have n inputs each. We use an elegant sum-of-squares technique that enables us to evaluate the quantum optimal values of the proposed network inequalities without assuming the dimension of the systems for both the asymmetric bilocal as well as the trilocal scenarios. Further, we demonstrate the robustness of the quantum violations of the proposed inequalities in the presence of white noise.

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IITH Creators:

IITH Creators	ORCiD
Pan, Alok Kumar	https://orcid.org/0000-0002-4269-3971

Item Type:

Article

Uncontrolled Keywords:

Common source; Multi-Sources; Network scenario; Nonlocal correlations; Nonlocalities; Optimal values; Quantum network; Sum-of-squares techniques; White noise; Bells

Subjects:

Physics
Physics > Classical mechanics

Divisions:

Department of Physics

Depositing User:

Mr Nigam Prasad Bisoyi

Date Deposited:

22 Aug 2023 06:03

Last Modified:

22 Aug 2023 06:03

URI:

http://raiithold.iith.ac.in/id/eprint/11537