SLOCC classification for general n-qubit states in terms of the rank of coefficient matrix

Details SLOCC classification for general n-qubit states in terms of the rank of coefficient matrix SLOCC classification for general n-qubit states in terms of the rank of coefficient matrix

2011-06-30

arxiv.org/abs/1106.6105v1

Physics

Quantum Physics

Scientific paper

We solve the entanglement classification under stochastic local operations and classical communication (SLOCC) for general n-qubit states. For two arbitrary pure n-qubit states connected via local operations, we establish an equation between the two coefficient matrices associated with the states. The rank of the coefficient matrix is preserved under SLOCC and gives rise to a simple way of partitioning all the pure states of n qubits into different families of entanglement classes, as exemplified here. When applied to the symmetric states, this approach reveals that all the Dicke states |l,n> with l=1, ..., [n/2] are inequivalent under SLOCC.

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