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Resource-optimal single-qubit quantum circuits.

Authors
Type
Published Article
Journal
Physical Review Letters
1079-7114
Publisher
American Physical Society
Publication Date
Volume
109
Issue
19
Pages
190501–190501
Identifiers
PMID: 23215367
Source
Medline
License
Unknown

Abstract

Determining the optimal implementation of a quantum gate is critical for designing a quantum computer. We consider the crucial task of efficiently decomposing a general single-qubit quantum gate into a sequence of fault-tolerant quantum operations. For a given single-qubit circuit, we construct an optimal gate sequence consisting of fault-tolerant Hadamard (H) and π/8 rotations (T). Our scheme is based on a novel canonical form for single-qubit quantum circuits and the corresponding rules for exactly reducing a general single-qubit circuit to our canonical form. The result is optimal in the number of T gates. We demonstrate that a precomputed epsilon net of canonical circuits in combination with our scheme lowers the depth of approximation circuits by up to 3 orders of magnitude compared to previously reported results.

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