The n-tangle of odd n qubits

The n-tangle of odd n qubits Coffman et al. presented the 3-tangle of three qubits in Phys Rev A 61, 052306 (2000). Wong and Christensen (Phys Rev A 63, 044301, 2001) extended the standard form of the 3-tangle to even number of qubits, known as n-tangle. In this paper, we propose a generalization of the standard form of the 3-tangle to any odd n-qubit pure states and call it the n-tangle of odd n qubits. We show that the n-tangle of odd n qubits is invariant under permutations of the qubits, and is an entanglement monotone. The n-tangle of odd n qubits can be considered as a natural entanglement measure of any odd n-qubit pure states, and used for stochastic local operations and classical communication classification. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

The n-tangle of odd n qubits

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Publisher
Springer Journals
Copyright
Copyright © 2011 by Springer Science+Business Media, LLC
Subject
Physics; Physics, general; Theoretical, Mathematical and Computational Physics; Quantum Physics; Computer Science, general; Mathematics, general
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-011-0256-8
Publisher site
See Article on Publisher Site

Abstract

Coffman et al. presented the 3-tangle of three qubits in Phys Rev A 61, 052306 (2000). Wong and Christensen (Phys Rev A 63, 044301, 2001) extended the standard form of the 3-tangle to even number of qubits, known as n-tangle. In this paper, we propose a generalization of the standard form of the 3-tangle to any odd n-qubit pure states and call it the n-tangle of odd n qubits. We show that the n-tangle of odd n qubits is invariant under permutations of the qubits, and is an entanglement monotone. The n-tangle of odd n qubits can be considered as a natural entanglement measure of any odd n-qubit pure states, and used for stochastic local operations and classical communication classification.

Journal

Quantum Information ProcessingSpringer Journals

Published: Jul 22, 2011

References

  • Quantum entanglement
    Horodecki, R.; Horodecki, P.; Horodecki, M.; Horodecki, K.
  • Multipartite entanglement measure
    Yu, C.; Song, H.
  • All maximally entangled four-qubit states
    Gour, G.; Wallach, N.R.
  • Simple criteria for the SLOCC classification
    Li, D.; Li, X.; Huang, H.; Li, X.

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