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Linear Transformations between Multipartite Quantum Systems That Map the Set of Tensor Product of Idempotent Matrices into Idempotent Matrix Set
Joint Authors
Xu, Jinli
Yao, Hongmei
Zheng, Baodong
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-12
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Let Hn be the set of n×n complex Hermitian matrices and ?n (resp., ?n) be the set of all idempotent (resp., tripotent) matrices in Hn.
In l-partite quantum system Hm1Tml=⊗1lHmi, ⊗1l?mi (resp., ⊗1l?mi) denotes the set of all decomposable elements ⊗1lAi such that Ai∈?mi (resp., Ai∈?mi).
In this paper, linear maps ϕ from Hm1⋯ml to Hn with n≤m1⋯ml such that ϕ⊗1l?mi∈?n are characterized.
As its application, the structure of linear maps ϕ from Hm1⋯ml to Hn with n≤m1⋯ml such that ϕ⊗1l?mi∈?n is also obtained.
American Psychological Association (APA)
Xu, Jinli& Zheng, Baodong& Yao, Hongmei. 2013. Linear Transformations between Multipartite Quantum Systems That Map the Set of Tensor Product of Idempotent Matrices into Idempotent Matrix Set. Journal of Function Spaces،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1006016
Modern Language Association (MLA)
Xu, Jinli…[et al.]. Linear Transformations between Multipartite Quantum Systems That Map the Set of Tensor Product of Idempotent Matrices into Idempotent Matrix Set. Journal of Function Spaces No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1006016
American Medical Association (AMA)
Xu, Jinli& Zheng, Baodong& Yao, Hongmei. Linear Transformations between Multipartite Quantum Systems That Map the Set of Tensor Product of Idempotent Matrices into Idempotent Matrix Set. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1006016
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006016