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MiS Preprint

On Local Unitary Equivalence of Two and Three-qubit States

Bao-Zhi Sun, Shao-Ming Fei and Zhi-Xi Wang


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.

Aug 28, 2017
Aug 28, 2017

Related publications

2017 Journal Open Access
Bao-Zhi Sun, Shao-Ming Fei and Zhi-Xi Wang

On local unitary equivalence of two and three-qubit states

In: Scientific reports, 7 (2017), p. 4869