# 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

, Volume 14 (1) – Oct 2, 2014
17 pages

/lp/springer_journal/classification-of-the-entangled-states-of-2-times-l-times-m-times-n-2-6rua23KVrt
Publisher
Springer Journals
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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