Entangling power, cartan decomposition, and braiding operators

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Publication Type dissertation
School or College College of Science
Department Physics
Author Ballard, Aaron David
Title Entangling power, cartan decomposition, and braiding operators
Date 2010-08
Description The main part of this dissertation starts with a generalization of the entangling power, which quantifies the ability of unitary operators to generate entangled states by their action on the computational basis. The entangling power has been defined for an evenly split bipartite system, whose states live in a Hilbert space of the form H1 X H2 where dimH1 = dimH2. I generalize this so that we can consider an odd number of qubits. Entangling power is defined in terms of the linear entropy, a linearization of the von Neumann entropy, whose polynomial form allows one to derive simpler expressions for functions of the entropy. The linear entropy measure is lifted from the state space to the operator space to measure the entanglement of operators. In particular, we focus on the three qubit case, where dimH1 = 2 and dimH2 = 4, as a step to understanding entanglement in many qubit systems. This is the content of Chapter 3.
Type Text
Publisher University of Utah
Subject Braid; Braiding operator; Cartan decomposition; Entanglement; Entangling power; Ghz
Subject LCSH Linear operators
Dissertation Institution University of Utah
Dissertation Name PhD
Language eng
Rights Management ©Aaron David Ballard
Format Medium application/pdf
Format Extent 835,098 bytes
Source Original in Marriott Library Special Collections, QA3.5 2010 .B35
ARK ark:/87278/s6ws97ps
Setname ir_etd
Date Created 2012-04-23
Date Modified 2017-05-11
ID 192163
Reference URL https://collections.lib.utah.edu/ark:/87278/s6ws97ps
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