Solovay-Kitaev Decomposition Strategy for Single-Qubit Channels
Quantum Physics
2013-10-01 v2
Abstract
Inspired by the Solovay-Kitaev decomposition for approximating unitary operations as a sequence of operations selected from a universal quantum computing gate set, we introduce a method for approximating any single-qubit channel using single-qubit gates and the controlled-NOT (CNOT). Our approach uses the decomposition of the single-qubit channel into a convex combination of "quasiextreme" channels. Previous techniques for simulating general single-qubit channels would require as many as 20 CNOT gates, whereas ours only needs one, bringing it within the range of current experiments.
Cite
@article{arxiv.1305.2783,
title = {Solovay-Kitaev Decomposition Strategy for Single-Qubit Channels},
author = {Dong-Sheng Wang and Dominic W. Berry and Marcos C. de Oliveira and Barry C. Sanders},
journal= {arXiv preprint arXiv:1305.2783},
year = {2013}
}