Rank-based SLOCC classification for odd n qubits

Physics – Quantum Physics

Scientific paper

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Submitted to QIC on November 12, 2010

Scientific paper

We study the entanglement classification under stochastic local operations
and classical communication (SLOCC) for odd n-qubit pure states. For this
purpose, we introduce the rank with respect to qubit i for an odd n-qubit
state. The ranks with respect to qubits 1,2,...,n give rise to the
classification of the space of odd n qubits into 3^n families.

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