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Title: Violation of monogamy inequality for higher-dimensional objects

Abstract

Bipartite quantum entanglement for qutrits and higher-dimensional objects is considered. We analyze the possibility of violation of monogamy inequality, introduced by Coffman, Kundu, and Wootters, for some systems composed of such objects. An explicit counterexample with a three-qutrit totally antisymmetric state is presented. Since three-tangle has been confirmed to be a natural measure of entanglement for qubit systems, our result shows that the three-tangle is no longer a legitimate measure of entanglement for states with three qutrits or higher-dimensional objects.

Authors:
 [1]
  1. Institute of Physics, Chinese Academy of Sciences, Beijing 100080 (China)
Publication Date:
OSTI Identifier:
20982416
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.75.034305; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; INFORMATION THEORY; QUANTUM COMPUTERS; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS; QUBITS

Citation Formats

Ou, Yong-Cheng. Violation of monogamy inequality for higher-dimensional objects. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.75.034305.
Ou, Yong-Cheng. Violation of monogamy inequality for higher-dimensional objects. United States. doi:10.1103/PHYSREVA.75.034305.
Ou, Yong-Cheng. Thu . "Violation of monogamy inequality for higher-dimensional objects". United States. doi:10.1103/PHYSREVA.75.034305.
@article{osti_20982416,
title = {Violation of monogamy inequality for higher-dimensional objects},
author = {Ou, Yong-Cheng},
abstractNote = {Bipartite quantum entanglement for qutrits and higher-dimensional objects is considered. We analyze the possibility of violation of monogamy inequality, introduced by Coffman, Kundu, and Wootters, for some systems composed of such objects. An explicit counterexample with a three-qutrit totally antisymmetric state is presented. Since three-tangle has been confirmed to be a natural measure of entanglement for qubit systems, our result shows that the three-tangle is no longer a legitimate measure of entanglement for states with three qutrits or higher-dimensional objects.},
doi = {10.1103/PHYSREVA.75.034305},
journal = {Physical Review. A},
number = 3,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}