Computing the maximum violation of a Bell inequality is an NP-problem

Batle, J. and Raymond Ooi, C.H. and Abdalla, S. and Bagdasaryan, A. (2016) Computing the maximum violation of a Bell inequality is an NP-problem. Quantum Information Processing, 15 (6). pp. 2649-2659. ISSN 1570-0755, DOI https://doi.org/10.1007/s11128-016-1275-2.

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Official URL: http://dx.doi.org/10.1007/s11128-016-1275-2

Abstract

The number of steps required in order to maximize a Bell inequality for arbitrary number of qubits is shown to grow exponentially with the number of parties involved. The proof that the optimization of such correlation measure is an NP-problem based on an operational perspective involving a Turing machine, which follows a general algorithm. The implications for the computability of the so-called nonlocality for any number of qubits is similar to recent results involving entanglement or similar quantum correlation-based measures.

Item Type: Article
Funders: Ministry of Education Malaysia: High Impact Research MoE Grant UM.C/625/1/HIR/MoE/CHAN/04
Uncontrolled Keywords: Bell inequalities; NP-problem; Turing machine
Subjects: Q Science > Q Science (General)
Q Science > QC Physics
Divisions: Faculty of Science > Department of Physics
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 07 Dec 2017 04:13
Last Modified: 07 Dec 2017 04:13
URI: http://eprints.um.edu.my/id/eprint/18484

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