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Calculations of quantum error correction and fault tolerance thresholds

by Fern, Jesse, Ph.D., UNIVERSITY OF CALIFORNIA, BERKELEY, 2008, 270 pages; 3334299

Abstract:

In this dissertation, I discuss how quantum errors are corrected by quantum error correcting codes, and calculate the resulting thresholds. Noise is represented in the channel superoperator notation. I examine how the Shannon entropy can be used to calculate the optimal thresholds in both the non fault tolerant and fault tolerant cases. For the fault tolerant case, I find a significantly higher threshold that allows for universal quantum computation than previous work. I also look at controlling quantum noise. I apply all these methods to a particular superconducting physical system to find high fault tolerant thresholds.

Advisor:	Whaley, K. Birgitta; Serganova, Vera
School:	UNIVERSITY OF CALIFORNIA, BERKELEY
Source:	DAI-B 69/10, p. , Apr 2009
Source Type:	Ph.D.
Subjects:	Mathematics; Theoretical physics; Computer science
Publication Number:	3334299

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