Linear maps preserving maximal deviation and the Jordan structure of quantum systems

2012 ◽  
Vol 53 (12) ◽  
pp. 122208 ◽  
Author(s):  
Jan Hamhalter
Keyword(s):  
Quantum Systems ◽  
Jordan Structure ◽  
Linear Maps ◽  
Maximal Deviation

scholarly journals Linear Transformations between Multipartite Quantum Systems That Map the Set of Tensor Product of Idempotent Matrices into Idempotent Matrix Set

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Jinli Xu ◽  
Baodong Zheng ◽  
Hongmei Yao
Keyword(s):  
Tensor Product ◽  
Quantum System ◽  
Quantum Systems ◽  
Hermitian Matrices ◽  
Linear Transformations ◽  
Multipartite Quantum Systems ◽  
Idempotent Matrix ◽  
Linear Maps

LetHnbe the set ofn×ncomplex Hermitian matrices and𝒫n(resp.,𝒯n) be the set of all idempotent (resp., tripotent) matrices inHn. Inl-partite quantum systemHm1Tml=⊗1lHmi,⊗1l𝒫mi(resp.,⊗1l𝒯mi) denotes the set of all decomposable elements⊗1lAisuch thatAi∈𝒫mi(resp.,Ai∈𝒯mi). In this paper, linear mapsϕfromHm1⋯mltoHnwithn≤m1⋯mlsuch thatϕ⊗1l𝒫mi∈𝒫nare characterized. As its application, the structure of linear mapsϕfromHm1⋯mltoHnwithn≤m1⋯mlsuch thatϕ⊗1l𝒯mi∈𝒯nis also obtained.

Coherent population trapping in quantum systems

1993 ◽  
Vol 163 (9) ◽  
pp. 1 ◽  
Author(s):  
B.D. Agap'ev ◽  
M.B. Gornyi ◽  
B.G. Matisov ◽  
Yu.V. Rozhdestvenskii
Keyword(s):  
Quantum Systems ◽  
Coherent Population Trapping ◽  
Population Trapping

Relaxation of interacting open quantum systems

2018 ◽  
Vol 189 (05) ◽  
Author(s):  
Vladislav Yu. Shishkov ◽  
Evgenii S. Andrianov ◽  
Aleksandr A. Pukhov ◽  
Aleksei P. Vinogradov ◽  
A.A. Lisyansky
Keyword(s):  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum

Entanglement

2017 ◽  
Author(s):  
Richard Healey
Keyword(s):  
Quantum Theory ◽  
Quantum State ◽  
Physical Condition ◽  
Physical System ◽  
Polarization State ◽  
Quantum Systems ◽  
Ghz State ◽  
Mathematical Representation ◽  
Entangled State ◽  
Physical Relation

Often a pair of quantum systems may be represented mathematically (by a vector) in a way each system alone cannot: the mathematical representation of the pair is said to be non-separable: Schrödinger called this feature of quantum theory entanglement. It would reflect a physical relation between a pair of systems only if a system’s mathematical representation were to describe its physical condition. Einstein and colleagues used an entangled state to argue that its quantum state does not completely describe the physical condition of a system to which it is assigned. A single physical system may be assigned a non-separable quantum state, as may a large number of systems, including electrons, photons, and ions. The GHZ state is an example of an entangled polarization state that may be assigned to three photons.

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