文章基本信息

标题：Classical Simulation of Yang-Baxter Gates
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作者：Gorjan Alagic ; Aniruddha Bapat ; Stephen Jordan 等
期刊名称：LIPIcs : Leibniz International Proceedings in Informatics
电子版ISSN：1868-8969
出版年度：2014
卷号：27
页码：161-175
DOI：10.4230/LIPIcs.TQC.2014.161
出版社：Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
摘要：A unitary operator that satisfies the constant Yang-Baxter equation immediately yields a unitary representation of the braid group B_n for every n >= 2. If we view such an operator as a quantum-computational gate, then topological braiding corresponds to a quantum circuit. A basic question is when such a representation affords universal quantum computation. In this work, we show how to classically simulate these circuits when the gate in question belongs to certain families of solutions to the Yang-Baxter equation. These include all of the qubit (i.e., d = 2) solutions, and some simple families that include solutions for arbitrary d >= 2. Our main tool is a probabilistic classical algorithm for efficient simulation of a more general class of quantum circuits. This algorithm may be of use outside the present setting.
关键词：Quantum; Yang-Baxter; Braid; Anyon