Interplay of nonlocality and incompatibility breaking qubit channels

Pan, Alok Kumar (2023) Interplay of nonlocality and incompatibility breaking qubit channels. Physical Review A, 107 (2). 022201. ISSN 2469-9926

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Abstract

Incompatibility and nonlocality are not only of foundational interest but also act as important resources for quantum information theory. In the Clauser-Horne-Shimony-Holt (CHSH) scenario, the incompatibility of a pair of observables is known to be equivalent to Bell nonlocality. Here, we investigate these notions in the context of qubit channels. The Bell-CHSH inequality has a greater perspective - compared to any genuine tripartite nonlocality scenario - while determining the interplay between nonlocality breaking qubit channels and incompatibility breaking qubit channels. In the Bell-CHSH scenario, we prove that if the conjugate of a channel is incompatibility breaking, then the channel is itself nonlocality breaking and vice versa. However, this equivalence is not straightforwardly generalized to multipartite systems, due to the absence of an equivalence relation between incompatibility and nonlocality in the multipartite scenario. We investigate this relation in the tripartite scenario by considering some well-known states like Greenberger-Horne-Zeilinger and W states and using the notion of Mermin and Svetlichny nonlocality. By subjecting the parties in question to unital qubit channels, we identify the range of state and channel parameters for which incompatibility coexists with nonlocality. Further, we identify the set of unital qubit channels that is Mermin or Svetlichny nonlocality breaking irrespective of the input state.

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IITH Creators:

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

Item Type:

Article

Uncontrolled Keywords:

Breakings; Clauser horne shimony holts; Clauser-Horne-Shimony-Holt inequality; Equivalence relations; Greenberger-Horne-Zeilinger state; Multipartite systems; Nonlocalities; Quantum information theory; Qubit channels; W state; Information theory; Quantum entanglement; Quantum optics; Qubits; Bells

Subjects:

Physics
Physics > Modern physics

Divisions:

Department of Physics

Depositing User:

Mr Nigam Prasad Bisoyi

Date Deposited:

22 Aug 2023 05:44

Last Modified:

22 Aug 2023 05:44

URI:

http://raiithold.iith.ac.in/id/eprint/11605