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Title: Optimal entanglement witnesses for qubits and qutrits

Abstract

We study the connection between the Hilbert-Schmidt measure of entanglement (that is the minimal distance of an entangled state to the set of separable states) and entanglement witness in terms of a generalized Bell inequality which distinguishes between entangled and separable states. A method for checking the nearest separable state to a given entangled one is presented. We illustrate the general results by considering isotropic states, in particular two-qubit and two-qutrit states--and their generalizations to arbitrary dimensions--where we calculate the optimal entanglement witnesses explicitly.

Authors:
; ; ;  [1]
  1. Institute for Theoretical Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna (Austria)
Publication Date:
OSTI Identifier:
20786483
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 72; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.72.052331; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; BELL THEOREM; DISTANCE; ENERGY LEVELS; QUANTUM COMPUTERS; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS; QUBITS

Citation Formats

Bertlmann, Reinhold A., Durstberger, Katharina, Hiesmayr, Beatrix C., and Krammer, Philipp. Optimal entanglement witnesses for qubits and qutrits. United States: N. p., 2005. Web. doi:10.1103/PHYSREVA.72.0.
Bertlmann, Reinhold A., Durstberger, Katharina, Hiesmayr, Beatrix C., & Krammer, Philipp. Optimal entanglement witnesses for qubits and qutrits. United States. doi:10.1103/PHYSREVA.72.0.
Bertlmann, Reinhold A., Durstberger, Katharina, Hiesmayr, Beatrix C., and Krammer, Philipp. Tue . "Optimal entanglement witnesses for qubits and qutrits". United States. doi:10.1103/PHYSREVA.72.0.
@article{osti_20786483,
title = {Optimal entanglement witnesses for qubits and qutrits},
author = {Bertlmann, Reinhold A. and Durstberger, Katharina and Hiesmayr, Beatrix C. and Krammer, Philipp},
abstractNote = {We study the connection between the Hilbert-Schmidt measure of entanglement (that is the minimal distance of an entangled state to the set of separable states) and entanglement witness in terms of a generalized Bell inequality which distinguishes between entangled and separable states. A method for checking the nearest separable state to a given entangled one is presented. We illustrate the general results by considering isotropic states, in particular two-qubit and two-qutrit states--and their generalizations to arbitrary dimensions--where we calculate the optimal entanglement witnesses explicitly.},
doi = {10.1103/PHYSREVA.72.0},
journal = {Physical Review. A},
number = 5,
volume = 72,
place = {United States},
year = {Tue Nov 15 00:00:00 EST 2005},
month = {Tue Nov 15 00:00:00 EST 2005}
}