Towards qubit noise spectroscopy by quantum bang-bang control
Name
56050903-MIT.pdf
Description
Full printable version
Size
4.2 MB
Format
Adobe PDF
Checksum (MD5)
9ba3e43b34f70e03c867bf7e656f0b2e
Author(s)
Chen, Zilong, 1981-
Advisor(s)
Isaac L. Chuang.
Date Issued
2004
Publisher
Massachusetts Institute of Technology
Abstract
Quantum bang-bang control is a method of suppressing decoherence in qubits [VKL99, VL98]. To date, mathematically rigorous treatments of quantum bang-bang control offered little intuition. To complement existing approaches and to seek better understanding, I present intuitive pictures to think about quantum bang-bang control. In addition, I develop a formalism for treating phase noise moments of a qubit under quantum bang-bang control. Although the desired purpose of quantum bang-bang control is to remove noise, it is conceivable that it can be used to infer information about the noise process and coupling on a qubit. By using a simple random rotation model of single qubit dephasing, I demonstrate how quantum bang-bang control can distinguish between dephasing under different stochastic processes. I also show how quantum bang-bang control can determine noise coupling in a toy model where noise couples to the qubit via a fixed noise axis. These two demonstrations indicate the potential of quantum bang-bang control as a tool for qubit noise spectroscopy.
Description
Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, June 2004.
Includes bibliographical references (p. 89-91).
Subjects
Physics.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
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.
Persistent DSpace Link
