Entanglement classification of quantum systems via the ranks of the multiple coefficient matrices

S Wang, Y Lu, GL Long - Physical Review A—Atomic, Molecular, and Optical …, 2013 - APS
Physical Review A—Atomic, Molecular, and Optical Physics, 2013APS
The coefficient matrix is an efficient tool in entanglement classification under stochastic local
operation and classical communication. In this work, we take all the ranks of the coefficient
matrices into account in the method of entanglement classification, and give the
entanglement classification procedure for arbitrary-dimensional multipartite pure states
under stochastic local operation and classical communication. As a main application, we
study the entanglement classification for quantum systems in the Hilbert space H= C 2⊗ C …
The coefficient matrix is an efficient tool in entanglement classification under stochastic local operation and classical communication. In this work, we take all the ranks of the coefficient matrices into account in the method of entanglement classification, and give the entanglement classification procedure for arbitrary-dimensional multipartite pure states under stochastic local operation and classical communication. As a main application, we study the entanglement classification for quantum systems in the Hilbert space in terms of the ranks of the coefficient matrices.
American Physical Society
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