...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Physical review >Monte Carlo studies of the self-correcting properties of the Majorana quantum error correction code under braiding
【24h】

Monte Carlo studies of the self-correcting properties of the Majorana quantum error correction code under braiding

机译：编织下马洛纳纳量子误差校正码的自校正特性的蒙特卡洛研究

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The Majorana code is an example of a stabilizer code where the quantum information is stored in a system supporting well-separated Majorana bound states (MBSs). We focus on one-dimensional realizations of the Majorana code, as well as networks of such structures, and investigate their lifetime when coupled to a parity-preserving thermal environment. We apply the Davies prescription, a standard method that describes the basic aspects of a thermal environment, and derive a master equation in the Born-Markov limit. We first focus on a single wire with immobile MBSs and perform error correction to annihilate thermal excitations. In the high-temperature limit, we show both analytically and numerically that the lifetime of the Majorana qubit grows logarithmically with the size of the wire. We then study a trijunction with four MBSs when braiding is executed. We study the occurrence of dangerous error processes that prevent the lifetime of the Majorana code from growing with the size of the trijunction. The origin of the dangerous processes is the braiding itself, which separates pairs of excitations and renders the noise nonlocal; these processes arise from the basic constraints of moving MBSs in one-dimensional (1D) structures. We confirm our predictions with Monte Carlo simulations in the low-temperature regime, i.e., the regime of practical relevance. Our results put a restriction on the degree of self-correction of this particular 1D topological quantum computing architecture.
机译：Majorana代码是稳定器代码的示例，其中，量子信息存储在支持良好分离的Majorana束缚态（MBS）的系统中。我们专注于Majorana代码的一维实现以及此类结构的网络，并研究其与保留奇偶校验的热环境耦合时的寿命。我们应用Davies处方（一种描述热环境基本方面的标准方法），并得出Born-Markov极限中的主方程。我们首先关注具有固定MBS的单根导线，并执行纠错以消除热激励。在高温极限下，我们通过分析和数字显示，马约拉纳量子比特的寿命与导线的尺寸成对数增长。然后，我们在执行编织时研究具有四个MBS的三结点。我们研究了危险错误过程的发生，这些过程阻止了Majorana代码的寿命随着三结的大小而增长。危险过程的起源是编织物本身，编织物将成对的激励分开并使噪声变得非局部。这些过程源于以一维（1D）结构移动MBS的基本约束。我们在低温范围内，即在实际相关范围内的蒙特卡罗模拟，证实了我们的预测。我们的结果限制了这种特殊的一维拓扑量子计算体系结构的自校正程度。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号