A Note on Equivalence of Bipartite States under Local Unitary Transformations

Abstract

The equivalence of arbitrary dimensional bipartite states under local unitary transformations (LUT) is studied. A set of invariants and ancillary invariants under LUT is presented. We show that two states are equivalent under LUT if and only if they have the same values for all of these invariants.

6 pages

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Cited by in corpus (15)

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• Criterion of Local Unitary Equivalence for Multipartite States
• Local Unitary Invariants of Generic Multi-qubit States
• SLOCC Invariants for Multipartite Mixed States
• On Local Unitary Equivalence of Two and Three-qubit States
• Local Equivalence of Rank-Two Quantum Mixed States
• A Note on Local Unitary Equivalence of Isotropic-like States
• Local unitary equivalence of generic multi-qubits based on the CP decomposition
• Local unitary equivalent consistence for n-party states and their (n-1)-party reduced density matrices
• Construction of Bound Entangled States Based on Permutation Operators
• A Note on State Decomposition Independent Local Invariants
• Local unitary equivalence of arbitrary-dimensional multipartite quantum states
• Representation Class and Geometrical Invariants of Quantum States under Local Unitary Transformations
• Local Unitary Invariants for Multipartite Quantum Systems