Nonlocal Properties and Local Invariants for Bipartite Systems

Abstract

The nonlocal properties for a kind of generic N-dimensional bipartite quantum systems are investigated. A complete set of invariants under local unitary transformations is presented. It is shown that two generic density matrices are locally equivalent if and only if all these invariants have equal values in these density matrices.

Latex, 9 pages

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Cited by in corpus (29)

• Generalized Criterion of Maximally Multi-Qubit Entanglement
• Local Unitary Equivalence of Arbitrary Dimensional Bipartite Mixed Quantum States
• Local Invariants for a Class of Mixed States
• Local Unitary Equivalence of Multi-qubit Mixed quantum States
• Criterion of Local Unitary Equivalence for Multipartite States
• Multipartite states under local unitary transformations
• Local Unitary Invariants of Generic Multi-qubit States
• Local Invariants and Pairwise Entanglement in Symmetric Multi-qubit System
• A Note on Equivalence of Bipartite States under Local Unitary Transformations
• SLOCC Invariants for Multipartite Mixed States
• On Local Unitary Equivalence of Two and Three-qubit States
• Minimum orbit dimension for local unitary action on n-qubit pure states
• The criterion for maximally entangled four-qubit state
• Local unitary invariants for multipartite states
• Local Equivalence of Rank-Two Quantum Mixed States
• Local unitary equivalence of generic multi-qubits based on the CP decomposition
• A Note on Local Unitary Equivalence of Isotropic-like States
• Local unitary equivalent consistence for n-party states and their (n-1)-party reduced density matrices
• Invariants for a Class of Nongeneric Three-qubit States
• A Note on State Decomposition Independent Local Invariants
• Characterization of multipartite entanglement in terms of local transformations
• 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
• A Complete Set of Local Invariants for a Family of Multipartite Mixed States
• Simple forms of SLOCC equivalent four-qubit \c{hi} state
• Addendum to "Multipartite states under local unitary transformations"
• Lorentz invariants of pure three-qubit states
• Identifying local unitary equivalence based on reduction of quantum states