Date of Award

8-2021

Document Type

Campus Access Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Physics, Applied

First Advisor

Kurt Jacobs

Second Advisor

Christopher A. Fuchs

Third Advisor

Alfred G. Noël

Abstract

Reliable measurement of the state of a quantum bit, a "qubit," is a fundamental and essential component of technologies designed to harness the unique properties of quantum physics. In some physical implementations of qubits, certain unitary evolutions may be quicker, more reliable, and more scalable than an explicit laboratory measurement, which would in general require a different technological interface. This observation has inspired several lines of inquiry which we present here. We first detail precisely what are the es- sential and desired properties of measurements in quantum computation schemes. We then outline how these properties can be achieved through the implementation of controlled evo- lutions between 2 - level basis states, and give precise bounds on the required reliability and redundancy of these gates. We then apply similar techniques to demonstrate a scheme for deterministic entanglement distillation. As the reliability of quantum gates is a function of unwanted interactions with the surrounding environment, we expand on the contemporary understanding of quantum noise processes, and show that a class of techniques used for the analytic description of quantum noise is applicable under a far broader set of conditions than was previously known.

Comments

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