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arXiv quant-ph/0509175quant-phcond-mat.mes-hallhep-th
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只有一个准粒子的拓扑量子计算

Topological Quantum Computing with Only One Mobile Quasiparticle

S. H. Simon, N. E. Bonesteel, M. H. Freedman, N. Petrovic, L. Hormozi

摘要:

在拓扑量子计算机中,普适量子计算是通过在2+1维时空中将某些二维系统的准粒子激发相互拖动以形成其世界线的辫子来执行的。在本文中,我们表明,任何这样的量子计算,可以通过编织$n$相同的准粒子也可以通过移动一个单一的准粒子周围的n-1个其他相同的准粒子的位置保持固定。

英文摘要:

In a topological quantum computer, universal quantum computation is performed by dragging quasiparticle excitations of certain two dimensional systems around each other to form braids of their world lines in 2+1 dimensional space-time. In this paper we show that any such quantum computation that can be done by braiding $n$ identical quasiparticles can also be done by moving a single quasiparticle around n-1 other identical quasiparticles whose positions remain fixed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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