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 arb...

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Autores principales:	Bao-Zhi Sun, Shao-Ming Fei, Zhi-Xi Wang
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/ce4e10564b3c44cdaf9853e3f94f4c6f
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spelling	oai:doaj.org-article:ce4e10564b3c44cdaf9853e3f94f4c6f2021-12-02T12:32:19ZOn Local Unitary Equivalence of Two and Three-qubit States10.1038/s41598-017-04717-22045-2322https://doaj.org/article/ce4e10564b3c44cdaf9853e3f94f4c6f2017-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-04717-2https://doaj.org/toc/2045-2322Abstract 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.Bao-Zhi SunShao-Ming FeiZhi-Xi WangNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-6 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Bao-Zhi Sun Shao-Ming Fei Zhi-Xi Wang On Local Unitary Equivalence of Two and Three-qubit States
description	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.
format	article
author	Bao-Zhi Sun Shao-Ming Fei Zhi-Xi Wang
author_facet	Bao-Zhi Sun Shao-Ming Fei Zhi-Xi Wang
author_sort	Bao-Zhi Sun
title	On Local Unitary Equivalence of Two and Three-qubit States
title_short	On Local Unitary Equivalence of Two and Three-qubit States
title_full	On Local Unitary Equivalence of Two and Three-qubit States
title_fullStr	On Local Unitary Equivalence of Two and Three-qubit States
title_full_unstemmed	On Local Unitary Equivalence of Two and Three-qubit States
title_sort	on local unitary equivalence of two and three-qubit states
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/ce4e10564b3c44cdaf9853e3f94f4c6f
work_keys_str_mv	AT baozhisun onlocalunitaryequivalenceoftwoandthreequbitstates AT shaomingfei onlocalunitaryequivalenceoftwoandthreequbitstates AT zhixiwang onlocalunitaryequivalenceoftwoandthreequbitstates
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On Local Unitary Equivalence of Two and Three-qubit States

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