Classification of the Entangled States of $2\times N\times N$

Abstract

We develop a novel method in classifying the multipartite entanglement state of $2\times N\times N$ under stochastic local operation and classical communication. In this method, all inequivalent classes of true entangled state can be assorted directly without knowing the classification information of lower dimension ones for any given dimension $N$. It also gives a nature explanation for the non-local parameters remaining in the entanglement classes while $N\ge 4$ .

29 pages, 5 figures

References in corpus (6)

• Four qubits can be entangled in nine different ways
• Inductive Entanglement Classification of Four Qubits under SLOCC
• Inductive classification of multipartite entanglement under SLOCC
• Range criterion and classification of true entanglement in $2\times M\times N$ system
• Classification of multipartite entanglement containing infinitely many kinds of states
• Classification of Tripartite Entanglement with one Qubit

Cited by in corpus (5)

• Local Unitary Classification of Arbitrary Dimensional Multipartite Pure States
• Entanglement Classification of Four-partite States under the SLOCC
• Classification of arbitrary-dimensional multipartite pure states under stochastic local operations and classical communication using the rank of coefficient matrix
• The Parametric Symmetry and Numbers of the Entangled Class of 2 \times M \times N System
• Classification of the Entangled states L\times N\times N