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    Phase space methods in finite quantum systems.

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    Publication date
    2010-03-03T16:40:13Z
    Author
    Hadhrami, Hilal Al
    Supervisor
    Vourdas, Apostolos
    Keyword
    Phase space methods
    Finite quantum systems
    Finite Hilbert space
    Symplectic tranformations
    Bi-partite and tri-partite systems
    Wigner function
    Rights
    Creative Commons License
    The University of Bradford theses are licenced under a Creative Commons Licence.
    Institution
    University of Bradford
    Department
    Department of Computing
    Awarded
    2009
    
    Metadata
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    Abstract
    Quantum systems with finite Hilbert space where position x and momentum p take values in Z(d) (integers modulo d) are considered. Symplectic tranformations S(2¿,Z(p)) in ¿-partite finite quantum systems are studied and constructed explicitly. Examples of applying such simple method is given for the case of bi-partite and tri-partite systems. The quantum correlations between the sub-systems after applying these transformations are discussed and quantified using various methods. An extended phase-space x¿p¿X¿P where X, P ¿ Z(d) are position increment and momentum increment, is introduced. In this phase space the extended Wigner and Weyl functions are defined and their marginal properties are studied. The fourth order interference in the extended phase space is studied and verified using the extended Wigner function. It is seen that for both pure and mixed states the fourth order interference can be obtained.
    URI
    http://hdl.handle.net/10454/4250
    Type
    Thesis
    Qualification name
    PhD
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    Theses

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