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Quantum states, maps, measurements and entanglementKuah, Aik-Meng, 1972- 28 August 2008 (has links)
The structure of the set of density matrices, its linear transformations, generalized linear measurements, and entanglement are studied. The set of density matrices is shown to be a convex and stratified set with simplex and group symmetries. Generalized measurements for density matrices are shown to be reducible to one unitary transformation and one von Neumann measurement carried out with an ancillary system of fixed size. Linear maps of density matrices are considered and the volume of the set of maps is derived. Positive but not completely positive maps are studied in consideration of obtaining a test for entanglement in density matrices. Using the Jamiolkowski representation and Schmidt decomposition of the map eigen matrices, several properties of these maps are shown. An algebraic approach to constructing these positive but not completely positive maps is partially formulated. The positivity of the linear map describing the evolution of an open system and its dependence on the initialized to a zero-discord state, the evolution is shown to be given by a completely positive map. In quantum process tomography, the results obtained from a open system that is initially prepared using von Neumann measurements is shown to be described by a bi-linear map, not a linear map. A method for quantum process tomography is derived for qubit bi-linear maps. The difference between preparing states for an experiment by measurement and by stochastic process is analyzed, and it is shown that the two different methods will give fundamentally different outcomes. / text
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Quantum states, maps, measurements and entanglementKuah, Aik-Meng, January 1900 (has links)
Thesis (Ph. D.)--University of Texas at Austin, 2007. / Vita. Includes bibliographical references.
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Localized-denisty-matrix method and its application to nano-size systemsLiang, Wanzhen. January 2001 (has links)
Thesis (Ph. D.)--University of Hong Kong, 2001. / Includes bibliographical references (leaves 148-161).
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Some properties on doubly-stochastic matrices and the distribution of density on a numerical range /Ng, Kam-chuen. January 1982 (has links)
Thesis (M. Phil.)--University of Hong Kong, 1982.
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Some properties on doubly-stochastic matrices and the distribution of density on a numerical range吳錦泉, Ng, Kam-chuen. January 1982 (has links)
published_or_final_version / Mathematics / Master / Master of Philosophy
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Density matrix theory of diatomic molecules /Scholz, Timothy Theodore. January 1989 (has links) (PDF)
Thesis (M. Sc.)--University of Adelaide, 1989. / Includes bibliographical references (leaves [71-72]).
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Trajectory calculation in an electrostatic positron beam using a reformulated extended charge density model /Fung, Russell. January 1998 (has links)
Thesis (M. Phil.)--University of Hong Kong, 1999. / Includes bibliographical references.
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Studies of the excited states of poly (p-phenylenevinylene) (PPV) derivatives and the light harvesting system IINg, Man-fai., 吳文暉. January 2003 (has links)
published_or_final_version / Chemistry / Doctoral / Doctor of Philosophy
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Reduced density matrices and stochastic quantum chemistryOvery, Catherine Mary January 2014 (has links)
No description available.
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Density matrix renormalization group study of the enhanced hole-hopping model of high temperature superconductivity /Minor, Bill. January 1996 (has links)
Thesis (Ph.D.) -- McMaster University, 1997. / Includes bibliographical references (leaves l05-110). Also available via World Wide Web.
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