Rank-based SLOCC classification for odd n qubits

Abstract

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.

Submitted to QIC on November 12, 2010

References in corpus (11)

• Three qubits can be entangled in two inequivalent ways
• Distributed Entanglement
• Exact and Asymptotic Measures of Multipartite Pure State Entanglement
• Characterizing the entanglement of symmetric many-particle spin-1/2 systems
• The polynomial invariants of four qubits
• Operational Families of Entanglement Classes for Symmetric $N$-Qubit States
• Inductive Entanglement Classification of Four Qubits under SLOCC
• SLOCC invariant and semi-invariants for SLOCC classification of four-qubits
• The SLOCC invariant and the residual entanglement for n-qubits
• An entanglement measure for n-qubits
• Stochastic local operations and classical communication properties of the n-qubit symmetric Dicke states