On Local Unitary Equivalence of Two and Three-qubit States
arXiv:1707.03934 · doi:10.1038/s41598-017-04717-2
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.
12 pages
References in corpus (6)
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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