基于SU(2) witten - chen - simons理论的双编织通用拓扑量子计算

IF 2.2 3区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Quantum Information Processing Pub Date : 2025-01-06 DOI:10.1007/s11128-024-04633-1

Adrian L. Kaufmann, Shawn X. Cui

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引用次数: 0

摘要

本文研究了SU(2) witten - chen - simons理论描述的任意子模型在k能级上的普适问题。Freedman-Larsen-Wang的一个经典定理表明，对于\(k \ge 3, \ k \ne 4\)，拓扑电荷为1/2的任意子的编织对于拓扑量子计算是普适的。对于单量子位的情况，我们证明了一个更强的结果，即这种任意子的双编织已经是普遍的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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

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 \(k \ge 3, \ k \ne 4\), 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.

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来源期刊

Quantum Information Processing 物理-物理：数学物理

CiteScore

4.10

自引率

20.00%

发文量

337

审稿时长

4.5 months

期刊介绍： Quantum Information Processing is a high-impact, international journal publishing cutting-edge experimental and theoretical research in all areas of Quantum Information Science. Topics of interest include quantum cryptography and communications, entanglement and discord, quantum algorithms, quantum error correction and fault tolerance, quantum computer science, quantum imaging and sensing, and experimental platforms for quantum information. Quantum Information Processing supports and inspires research by providing a comprehensive peer review process, and broadcasting high quality results in a range of formats. These include original papers, letters, broadly focused perspectives, comprehensive review articles, book reviews, and special topical issues. The journal is particularly interested in papers detailing and demonstrating quantum information protocols for cryptography, communications, computation, and sensing.