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Quantum gates, mixed-state entanglement and error-correcting codes.

机译:量子门,混合态纠缠和纠错码。

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摘要

I give an overview of quantum information and existing results. I present a new view of of locality and argue that the criterion for nonlocality of a mixed state M is non-zero E(M), the entanglement required to prepare M by local actions. I compare E(M) with the amounts ;I show the relationship between EPPs and quantum error-correcting codes (QECCs). In an EPP perfectly entangled pure states are extracted with yield D from bipartite mixed states M; in a QECC arbitrary quantum states are reliably transmitted at rate Q through a noisy channel ;While EPPs require classical communication, QECCs do not; I prove Q is not increased by adding one-way classical communication. However, both D and Q can be increased by adding two-way communication. I show that certain noisy channels can be used for reliable quantum transmission iff two-way communication is available. I exhibit a family of codes based on universal hashing able to achieve an asymptotic Q (or D) of ;I discuss quantum gate arrays for quantum computation and present numerical results indicating that six two-bit quantum gates are enough to implement any three-bit quantum gate, and results for implementing specific gates. An analytic argument and numerical results are given for why a two-bit gate adds nine, twelve, fifteen, or zero parameters to the space accessible by a gate array, depending on the topology.
机译:我概述了量子信息和现有结果。我提出了一种新的局部性观点,并提出混合状态M的非局部性准则是非零E(M),即通过局部动作准备M所需要的纠缠。我将E(M)与数量进行比较;我展示了EPP与量子纠错码(QECC)之间的关系。在EPP中,从二元混合态M中以产量D提取完全纠缠的纯态;在QECC中,任意量子态通过一个噪声信道以速率Q可靠地传输;虽然EPP需要经典通信,但QECC不需要;我证明通过添加单向经典通信不会增加Q。但是,可以通过添加双向通信来增加D和Q。我证明,如果可以使用双向通信,则某些嘈杂的信道可用于可靠的量子传输。我展示了一系列基于通用散列的代码,能够实现Q的渐近Q(或D);我讨论了用于量子计算的量子门阵列,并给出了数值结果,表明六个二位量子门足以实现任何三位量子门,以及实现特定门的结果。给出了一个解析参数和数值结果,说明了为什么一个两位门根据拓扑结构向门阵列可访问的空间添加九,十二,十五或零个参数。

著录项

  • 作者

    Smolin, John Aaron.;

  • 作者单位

    University of California, Los Angeles.;

  • 授予单位 University of California, Los Angeles.;
  • 学科 Engineering Electronics and Electrical.;Physics General.
  • 学位 Ph.D.
  • 年度 1996
  • 页码 163 p.
  • 总页数 163
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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