Tight upper bound for the maximal expectation value of the Mermin operators

The violation of the Mermin inequality (MI) for multipartite quantum states guarantees the existence of nonlocality between either few or all parties. The detection of optimal MI violation is fundamentally important, but current methods only involve numerical optimizations, and thus hard to find eve...

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Bibliographic Details
Published in:Quantum information processing 2019-05, Vol.18 (5), p.1-11, Article 131
Main Authors: Siddiqui, Mohd Asad, Sazim, Sk
Format: Article
Language:English
Subjects:
Data Structures and Information Theory
Entangled states
Mathematical Physics
Numerical methods
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum Physics
Qubits (quantum computing)
Spintronics
Tightness
Upper bounds
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Summary:The violation of the Mermin inequality (MI) for multipartite quantum states guarantees the existence of nonlocality between either few or all parties. The detection of optimal MI violation is fundamentally important, but current methods only involve numerical optimizations, and thus hard to find even for three-qubit states. In this paper, we provide a simple and elegant analytical method to achieve the upper bound of Mermin operator for arbitrary three-qubit states. Also, the necessary and sufficient conditions for the tightness of the bound for some class of tripartite states have been stated. Finally, we suggest an extension of this result for up to n -qubits.
ISSN:1570-0755
1573-1332
DOI:10.1007/s11128-019-2246-1