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.

6 pages

References in corpus (4)

• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Local Unitary Equivalence of Arbitrary Dimensional Bipartite Mixed Quantum States
• Bell inequalities for multipartite qubit quantum systems and their maximal violation
• A Note on Equivalence of Bipartite States under Local Unitary Transformations

Cited by in corpus (7)

• Necessary and Sufficient Conditions for Local Unitary Equivalence of Multi-qubit States
• On Local Unitary Equivalence of Two and Three-qubit States
• A Note on Local Unitary Equivalence of Isotropic-like States
• Local unitary equivalence of generic multi-qubits based on the CP decomposition
• Tight upper bound on the quantum value of Svetlichny operators under local filtering and hidden genuine nonlocality
• Local unitary equivalence of arbitrary-dimensional multipartite quantum states
• Local Unitary Invariants for Multipartite Quantum Systems