Optimal and asymptotically optimal NCT reversible circuits by the gate types

TitleOptimal and asymptotically optimal NCT reversible circuits by the gate types
Publication TypeJournal Article
Year of Publication2016
AuthorsMaslov, D
JournalQuantum Information & Computation
Volume16
Issue13 & 14
Pages1096-1112
Date Published2016/08/23
Abstract

We report optimal and asymptotically optimal reversible circuits composed of NOT, CNOT, and Toffoli (NCT) gates, keeping the count by the subsets of the gate types used. This study fine tunes the circuit complexity figures for the realization of reversible functions via reversible NCT circuits. An important consequence is a result on the limitation of the use of the T-count quantum circuit metric popular in applications.

URLhttp://arxiv.org/abs/1602.02627