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ASSESSING FAULT-TOLERANCE CONDITIONS FOR SURFACE CODE IMPLEMENTED WITH NOISY DEVICES

CHAI JING HAO
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Abstract
The topic of this thesis is how quantum computation can be carried out reliably and how it performs when it is implemented with noisy circuit elements. This is an important question for scalable quantum computation in the long-term. The focus of this thesis is to assess the fault-tolerance conditions for the surface code, when it is implemented with noisy devices. This thesis consists of two parts. The first part considers the accuracy threshold for the surface and whether it can be fairly compared with the accuracy threshold for concatenated codes. The second part of the thesis proposes to compare schemes on equal footing by considering fixed physical constraints and considering their performance at a particular operational task. We conduct a numerical study to consider the viability of this proposal, which is backed up by theoretical analysis.
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fault-tolerant quantum computing, fault-tolerant error correction, surface code, accuracy threshold
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2020-01-10
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Thesis
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