Classification of the entangled states of $$2 \times L \times M \times N$$ 2 × L × M × N

Classification of the entangled states of $$2 \times L \times M \times N$$ 2 × L × M × N We present a practical entanglement classification scheme for pure state in form of $$2\times L\times M\times N$$ 2 × L × M × N under the stochastic local operation and classical communication (SLOCC), where every inequivalent class of the entangled quantum states may be sorted out according to its standard form and the corresponding transformation matrix. This provides a practical method for determining the interconverting matrix between two SLOCC equivalent entangled states, and classification examples for some $$2\times 4\times M\times N$$ 2 × 4 × M × N systems are also presented. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Classification of the entangled states of $$2 \times L \times M \times N$$ 2 × L × M × N

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Publisher
Springer US
Copyright
Copyright © 2014 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-014-0828-5
Publisher site
See Article on Publisher Site

Abstract

We present a practical entanglement classification scheme for pure state in form of $$2\times L\times M\times N$$ 2 × L × M × N under the stochastic local operation and classical communication (SLOCC), where every inequivalent class of the entangled quantum states may be sorted out according to its standard form and the corresponding transformation matrix. This provides a practical method for determining the interconverting matrix between two SLOCC equivalent entangled states, and classification examples for some $$2\times 4\times M\times N$$ 2 × 4 × M × N systems are also presented.

Journal

Quantum Information ProcessingSpringer Journals

Published: Oct 2, 2014

References

  • The ubiquitous Kronecker product
    Loan, CF
  • Criterion of local unitary equivalence for multipartite states
    Zhang, T-G; Zhao, M-J; Li, M; Fei, S-M; Li-Jost, X

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