On Local Unitary Equivalence of Two and Three-qubit States

Abstract

We study the local unitary equivalence for two and three-qubit mixed states by investigating the invariants under local unitary transformations. For two-qubit system, we prove that the determination of the local unitary equivalence of 2-qubits states only needs 14 or less invariants for arbitrary two-qubit states. Using the same method, we construct invariants for three-qubit mixed states. We prove that these invariants are sufficient to guarantee the LU equivalence of certain kind of three-qubit states. Also, we make a comparison with earlier works.

arXiv comment12 pages

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Cited by in corpus (6)

• Complete characterization of quantum correlations by randomized measurements
• Criteria for SLOCC and LU Equivalence of Generic Multi-qudit States
• Quantum marginals, faces, and coatoms
• Local unitary equivalence of arbitrary-dimensional multipartite quantum states
• Identifying local unitary equivalence based on reduction of quantum states
• Lorentz invariants of pure three-qubit states