Local Unitary Equivalence of Arbitrary Dimensional Bipartite Mixed Quantum States

Abstract

The nonlocal properties of arbitrary dimensional bipartite quantum systems are investigated. A complete set of invariants under local unitary transformations is presented. These invariants give rise to both sufficient and necessary conditions for the equivalence of quantum states under local unitary transformations: two density matrices are locally equivalent if and only if all these invariants have equal values.

5 pages

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Cited by in corpus (21)

• Local Unitary Equivalence of Multi-qubit Mixed quantum States
• Criterion of Local Unitary Equivalence for Multipartite States
• Calculation of quantum discord in arbitrary dimensions, especially for X- and other specialized states
• 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 equivalence of quantum states and simultaneous orthogonal equivalence
• Local unitary invariants for multipartite states
• A Complete Set of Invariants for LU-Equivalence of Density Operators
• A Note on Local Unitary Equivalence of Isotropic-like States
• Local unitary equivalence of generic multi-qubits based on the CP decomposition
• The local unitary equivalence of multipartite pure states
• Characterization of multipartite entanglement in terms of local transformations
• Local unitary equivalence of arbitrary-dimensional multipartite quantum states
• Local available quantum correlations of non-symmetric X states
• A Note on State Decomposition Independent Local Invariants
• Local Unitary Invariants for Multipartite Quantum Systems
• Quantum marginal inequalities and the conjectured entropic inequalities
• Identifying local unitary equivalence based on reduction of quantum states
• Local-available quantum correlation swapping in one-parameter X states
• Bargmann-invariant framework for local unitary equivalence and entanglement