Dataset Information

Local Unitary Equivalence of Quantum States Based on the Tensor Decompositions of Unitary Matrices.

ABSTRACT: Since two quantum states that are local unitary (LU) equivalent have the same amount of entanglement, it is meaningful to find a practical method to determine the LU equivalence of given quantum states. In this paper, we present a valid process to find the unitary tensor product decomposition for an arbitrary unitary matrix. Then, by using this process, the conditions for determining the local unitary equivalence of quantum states are obtained. A numerical verification is carried out, which shows the practicability of our protocol. We also present a property of LU invariants by using the universality of quantum gates which can be used to construct the complete set of LU invariants.

SUBMITTER: Wang J

PROVIDER: S-EPMC10452990 | biostudies-literature | 2023 Jul

REPOSITORIES: biostudies-literature

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Local Unitary Equivalence of Quantum States Based on the Tensor Decompositions of Unitary Matrices.

Wang Jing J Liu Xiaoqi X Xu Li L Li Ming M Li Lei L Shen Shuqian S

Entropy (Basel, Switzerland) 20230729 8

Since two quantum states that are local unitary (LU) equivalent have the same amount of entanglement, it is meaningful to find a practical method to determine the LU equivalence of given quantum states. In this paper, we present a valid process to find the unitary tensor product decomposition for an arbitrary unitary matrix. Then, by using this process, the conditions for determining the local unitary equivalence of quantum states are obtained. A numerical verification is carried out, which show ...[more]

PMID: 37628169

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Dataset Information

Local Unitary Equivalence of Quantum States Based on the Tensor Decompositions of Unitary Matrices.

Publications

Local Unitary Equivalence of Quantum States Based on the Tensor Decompositions of Unitary Matrices.

Similar Datasets

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