Optimal multi-setting witness operators for two qudits Article

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Overview

abstract

• Quantum entanglement in bipartite systems is approached with the help of pseudo Bell operators, a relaxed form of Bell operators. Their connection to optimal witness operators is established. A method to construct pseudo Bell operators for pairs of qudits, based on multiple two-dimensional local measuring settings, is presented. Each of them provide two optimal (multi-setting) witness operators. They are rigorously proved to fulfill the conditions in the definition. We explain how to approximate the set of separable states and the set of entangled states. A class of Werner-like entangled states is identified. The spectral resolution of all multi-setting pseudo Bell operators is carried out in full. © 2009 Elsevier B.V. All rights reserved.

authors

• Urías Hermosillo Jesús

publication date

• 2009-01-01

published in

• Physics Letters, Section A: General, Atomic and Solid State Physics  Journal

Research

keywords

• High-dimensional bipartite entanglement; Multi-setting witness operators; Pseudo Bell-operators Bells; Bell operators; Bipartite entanglement; Bipartite systems; Entangled state; Separable state; Witness operators; Quantum entanglement

Identity

Digital Object Identifier (DOI)

• 10.1016/j.physleta.2008.12.048

Additional Document Info

start page

• 720

end page

• 726

volume

• 373

issue

• 7