Skip to content

Mapping NCV circuits to optimized Clifford+T circuits

28Citations
Citations of this article
6Readers
Mendeley users who have this article in their library.
Get full text

Abstract

The need to consider fault tolerance in quantum circuits has led to recent work on the optimization of circuits composed of Clifford+T gates. The primary optimization objectives are to minimize the T-count (number of T gates) and the T-depth (the number of groupings of parallel T gates). These objectives arise due to the high cost of the fault tolerant implementation of the T gate compared to Clifford gates. In this paper, we consider the mapping of a circuit composed of NOT, Controlled-NOT and square-root of NOT (NCV) gates to an equivalent circuit composed of Clifford+T gates. Our approach is heuristic and proceeds through three phases: (i) mapping a circuit of NCV gates to a Clifford+T circuit; (ii) optimization of the placement of the T gates in the Clifford+T circuit; and (iii) optimization of the subcircuits between T gate groupings. The approach takes advantage of earlier work on the optimization of NCV circuits. Examples are presented to show the approach presented here compares well with other approaches. Our approach does not add ancilla lines. © 2014 Springer International Publishing.

Cite

CITATION STYLE

APA

Miller, D. M., Soeken, M., & Drechsler, R. (2014). Mapping NCV circuits to optimized Clifford+T circuits. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8507 LNCS, pp. 163–175). Springer Verlag. https://doi.org/10.1007/978-3-319-08494-7_13

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free