Simulations of error in quantum adiabatic computations of random 2-SAT instances

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.

Department dc:contributor.department

Massachusetts Institute of Technology. Dept. of Physics.

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2006

Author dc:creator

• Gill, Jay S. (Jay Singh)

Advisor dc:contributor.advisor

• Edward Farhi.

• Physics.

Statement dc:rights

• M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.

Licence dc:rights.uri

• http://dspace.mit.edu/handle/1721.1/7582

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/1721.1/36127

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/36127