dc.contributor.advisor Sudarshan, E. C. G. en dc.contributor.committeeMember Markert, John en dc.contributor.committeeMember Paban, Sonia en dc.contributor.committeeMember De La Llave, Rafael en dc.contributor.committeeMember Bohm, Arno en dc.creator Dixit, Kuldeep Narayan en dc.date.accessioned 2010-09-16T21:03:43Z en dc.date.accessioned 2010-09-16T21:03:50Z en dc.date.accessioned 2017-05-11T22:20:13Z dc.date.available 2010-09-16T21:03:43Z en dc.date.available 2010-09-16T21:03:50Z en dc.date.available 2017-05-11T22:20:13Z dc.date.issued 2010-05 en dc.date.submitted May 2010 en dc.identifier.uri http://hdl.handle.net/2152/ETD-UT-2010-05-771 en dc.description text en dc.description.abstract Open quantum systems refer to systems that are affected by en interaction with the environment. The effects of these unwanted interactions, called \emph{quantum noise}, are studied using dynamical maps. We study the geometry of these maps in this work. We review the canonical representations of dynamical maps such as reduced dynamics, $\mathcal{A}$ and $\mathcal{B}$ forms and operator sum representation. We develop a framework for simplifying the action of dynamical maps in terms of their action on the coherence vector associated with the density matrix. We use the framework to describe the geometry of depolarization, dephasing and dissipation in the domain of complete positivity. We give a geometric picture of how two-, three- and four-level systems are affected by these common forms of quantum noises. We show useful similarities between two- and four-level depolarizing maps and give a generalization for $n$-qubits. We also derive important results that restrict dephasing and dissipation. dc.format.mimetype application/pdf en dc.language.iso eng en dc.subject Quantum information en dc.subject Quantum computation en dc.subject Maps en dc.title Geometry of quantum noise en dc.type.genre thesis en dc.date.updated 2010-09-16T21:03:51Z en
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