Scholarlink

<p>We study the problem of universality in the anyon model described by the <i>SU</i>(2) Witten–Chern–Simons theory at level <i>k</i>. A classic theorem of Freedman–Larsen–Wang states that for <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11128_2024_4633_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="94" /> </InlineMediaObject> <EquationSource Format="TEX">\(k \ge 3, \ k \ne 4\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>k</mi> <mo>≥</mo> <mn>3</mn> <mo>,</mo> <mspace width="4pt" /> <mi>k</mi> <mo>≠</mo> <mn>4</mn> </mrow> </math></EquationSource> </InlineEquation>, braiding of the anyons of topological charge 1/2 is universal for topological quantum computing. For the case of one qubit, we prove a stronger result that double-braiding of such anyons alone is already universal.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Universal topological quantum computing via double-braiding in SU(2) Witten–Chern–Simons theory

  • 期刊论文

  • 发表日期：

    2025年1月6日

查看全文
  • Adrian L. Kaufmann,
  • Shawn X. Cui

摘要

We study the problem of universality in the anyon model described by the SU(2) Witten–Chern–Simons theory at level k. A classic theorem of Freedman–Larsen–Wang states that for \(k \ge 3, \ k \ne 4\) k ≥ 3 , k ≠ 4 , braiding of the anyons of topological charge 1/2 is universal for topological quantum computing. For the case of one qubit, we prove a stronger result that double-braiding of such anyons alone is already universal.