Date of Award

8-1-2012

Document Type

Campus Access Thesis

Degree Name

Master of Science (MS)

Department

Physics, Applied

First Advisor

Stephen Arnason

Second Advisor

Kurt Jacobs

Third Advisor

Bala Sundaram

Abstract

One of the greatest foes to the overall field of quantum information is error management. This field depends on quantum features that quickly decay away due to environmental noise, such as what happens in the process of thermalization. Derived partly from classical techniques, quantum error correction establishes rich encoding methods that allow separate errors to project a system to orthogonal code spaces. There these errors can be identified and fixed. Here we show that the orthogonal nature of such encoding can be used to protect transformations that we apply to our data from the start. By making certain modifications to Hamiltonians, they will still do whatever job they are designed to do even with an error affecting it. In essence, such "error transparent" Hamiltonians will remove or lessen the need for frequent error identification and correction during quantum information processes.

Comments

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