<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-09-19T16:41:57Z</responseDate><request verb="GetRecord" identifier="oai:dspace.mit.edu:1721.1/36127" metadataPrefix="dim">https://dspace.mit.edu/server/oai/request</request><GetRecord><record><header><identifier>oai:dspace.mit.edu:1721.1/36127</identifier><datestamp>2022-01-13T07:54:41Z</datestamp><setSpec>com_1721.1_7582</setSpec><setSpec>com_1721.1_7581</setSpec><setSpec>col_1721.1_131024</setSpec></header><metadata><dim:dim xmlns:dim="http://www.dspace.org/xmlns/dspace/dim" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.dspace.org/xmlns/dspace/dim http://www.dspace.org/schema/dim.xsd">
   <dim:field mdschema="dc" element="contributor" qualifier="advisor" lang="en_US">Edward Farhi.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="author" lang="en_US">Gill, Jay S. (Jay Singh)</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="other" lang="en_US">Massachusetts Institute of Technology. Dept. of Physics.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="department">Massachusetts Institute of Technology. Department of Physics</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="accessioned">2007-02-21T11:34:58Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="available">2007-02-21T11:34:58Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="copyright" lang="en_US">2006</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="issued" lang="en_US">2006</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="uri">http://hdl.handle.net/1721.1/36127</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="oclc" lang="en_US">72467263</dim:field>
   <dim:field mdschema="dc" element="description" lang="en_US">Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2006.</dim:field>
   <dim:field mdschema="dc" element="description" lang="en_US">Includes bibliographical references (p. 45).</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="abstract" lang="en_US">This thesis presents a series of simulations of quantum computations using the adiabatic algorithm. The goal is to explore the effect of error, using a perturbative approach that models 1-local errors to the Hamiltonian and estimates transition probabilities out of the ground state. The data show that a perturbation in the z-direction, parallel to the alignment of the computational basis, causes a greater error than one in the x-direction, and show with good confidence (X2/[nu] = 1.7) that the variation is as sin [theta] where [theta] is the angle of the error term. An attempt to explore the change in error with the number of qubits was inconclusive--there was no measurable variation.</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="statementofresponsibility" lang="en_US">by Jay S. Gill.</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="degree" lang="en_US">S.B.</dim:field>
   <dim:field mdschema="dc" element="format" qualifier="extent" lang="en_US">45 p.</dim:field>
   <dim:field mdschema="dc" element="language" qualifier="iso" lang="en_US">eng</dim:field>
   <dim:field mdschema="dc" element="publisher" lang="en_US">Massachusetts Institute of Technology</dim:field>
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   <dim:field mdschema="dc" element="rights" qualifier="uri">http://dspace.mit.edu/handle/1721.1/7582</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Physics.</dim:field>
   <dim:field mdschema="dc" element="title" lang="en_US">Simulations of error in quantum adiabatic computations of random 2-SAT instances</dim:field>
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   	&lt;Title>Simulations of error in quantum adiabatic computations of random 2-SAT instances&lt;/Title>
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   	&lt;PublicationDate>2006&lt;/PublicationDate>
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        	&lt;DisplayName>Gill, Jay S. (Jay Singh)&lt;/DisplayName>
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    &lt;Keyword>Physics.&lt;/Keyword>
   	&lt;Abstract>This thesis presents a series of simulations of quantum computations using the adiabatic algorithm. The goal is to explore the effect of error, using a perturbative approach that models 1-local errors to the Hamiltonian and estimates transition probabilities out of the ground state. The data show that a perturbation in the z-direction, parallel to the alignment of the computational basis, causes a greater error than one in the x-direction, and show with good confidence (X2/[nu] = 1.7) that the variation is as sin [theta] where [theta] is the angle of the error term. An attempt to explore the change in error with the number of qubits was inconclusive--there was no measurable variation.&lt;/Abstract>
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