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在运营商空间内的桥梁纠和魔力资源.

Neil Dowling1, Kavan Modi2,3, Gregory A L White4

  • 1Institut für Theoretische Physik, Universität zu Köln, Zülpicher Strasse 77, 50937 Köln, Germany.

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概括

局部操作员纠 (LOE) 量化了模拟的复杂性,并揭示了量子魔力资源. LOE受到魔幻单调的限制,这表明复杂的操作员进化意味着低效的古典模拟.

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科学领域:

  • 量子信息理论 量子信息理论
  • 多体物理多体物理
  • 计算复杂性 计算复杂性

背景情况:

  • 局部运算符纠 (LOE) 对于模拟带有张量网络的量子系统至关重要.
  • LOE与局部量子力学中的多体混沌有关.

研究的目的:

  • 调查LOE与单元操作的非克利福德性质 (魔力资源) 之间的关系.
  • 用魔法单调来建立LOE的界限.

主要方法:

  • 理论分析LOE及其与魔术单调的关系.
  • 证明LOE的上限使用T计数,单元无效性和运算机稳定器Renyi.
  • 分析大,随机的量子电路的平均情况行为.

主要成果:

  • LOE的上限由三个不同的魔术单调:T计数,单元无效和运算器稳定器Rnyi.
  • 对于大型随机电路,LOE和魔力单调大约平均一致.
  • 运算器演变很难用张量网络来模拟,对于稳定器和保利截断方法来说也很难.

结论:

  • LOE 作为操作员空间中非经典资源的统一衡量标准.
  • 这些发现暗示,不可整合的旋转链通常是难以处理的.
  • 量子模拟的复杂性与单元运算的魔力内容密切相关.