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集成量子电路中的强零模式

Eric Vernier¹, Hsiu-Chung Yeh², Lorenzo Piroli³

¹Laboratoire de Probabilités, <a href="https://ror.org/02feahw73">Statistique et Modélisation CNRS</a>-<a href="https://ror.org/05f82e368">Université Paris Cité</a>-<a href="https://ror.org/02en5vm52">Sorbonne Université.</a> Paris, France.

Physical review letters

|August 19, 2024

概括

研究人员已经在可集成量子电路中确定了强零模式 (SZM),扩展了先前在自旋链中的发现. 这项工作为在Floquet系统中构建SZM运算符提供了一种新方法,在量子计算中具有潜在的应用.

科学领域:

量子信息科学量子信息科学
凝聚物质物理学凝聚物质物理学
量子多体系统是一个量子多体系统.

背景情况:

众所周知,可整合的旋转链可以容纳强大的边缘模式,称为强零模式 (SZMs).
将这些概念扩展到局部量子电路的离散时间动态,特别是在Floquet设置中,仍然是一个活跃的研究领域.

研究的目的:

研究可集成量子电路中强零模式 (SZM) 的存在和构造.
将SZM的概念从连续时间自旋链适应到离散时间的Floquet量子电路.
探索在当前量子平台上实现这些现象的潜力.

主要方法:

专注于XXZ海森堡旋转链的原型可整合的Trotterization.
利用与整合性固有的代数结构,特别是通勤转移矩阵.
在量子电路的特定参数模式内构建一个精确的SZM操作员.

主要成果:

在可集成的Floquet量子电路中证明了精确的强零模式 (SZM) 运算符的存在.
构造方法在连续时间限制中恢复已知的结果.
使用开发的框架,可以很容易地证明SZM的规范性等属性.
无限温度自相关函数的数值模拟证实了理论预测.

结论:

该研究成功地将强零模式 (SZM) 的概念扩展到可集成量子电路领域.
开发的代数方法为构建和分析SZM提供了一个新的视角,与以前的方法不同.
这些发现有望在现有的量子计算硬件上实现XXZ量子电路的实际实现.

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