Local Unitary Equivalence of Multi-qubit Mixed quantum States

Abstract

We present computable criterion for completely classifying multi-qubit quantum states under local unitary operations. The criterion can be used to detect whether two quantum states in multi-qubit systems are local unitary equivalent or not. Once obtaining the positive answer, we are further able to compute the corresponding unitary operators precisely. Since the scheme is based on the mean values of some quantum mechanical observables, it supplies an experimental way to judge the local equivalence of quantum states.

arXiv comment6 pages

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Cited by in corpus (16)

• Local Unitary Invariants of Generic Multi-qubit States
• Necessary and Sufficient Conditions for Local Unitary Equivalence of Multi-qubit States
• On Local Unitary Equivalence of Two and Three-qubit States
• Local unitary classification for sets of generalized Bell states
• Multipartite quantum correlations: symplectic and algebraic geometry approach
• Local unitary equivalence of quantum states and simultaneous orthogonal equivalence
• Local unitary equivalence of generic multi-qubits based on the CP decomposition
• A Note on Local Unitary Equivalence of Isotropic-like States
• Criteria for SLOCC and LU Equivalence of Generic Multi-qudit States
• Tight upper bound on the quantum value of Svetlichny operators under local filtering and hidden genuine nonlocality
• Higher order singular value decomposition and the reduced density matrices of three qubits
• Local unitary equivalence of arbitrary-dimensional multipartite quantum states
• Local Unitary Invariants for Multipartite Quantum Systems
• Special core tensors of multi-qubit states and the concurrency of three lines
• Local Unitary Equivalence of Tripartite Quantum States In Terms of Trace Identities
• Identifying local unitary equivalence based on reduction of quantum states