论文标题
通用哈密顿量的量子计量学的随机方法
Stochastic approach for quantum metrology with generic Hamiltonians
论文作者
论文摘要
最近，提出了具有乘法参数的哈密顿量的变异量子计量学，其中估计精度可以通过变异回路优化。但是，具有通用哈密顿人的系统仍然缺乏这些各种方案。这项工作介绍了一种基于量子电路的方法，用于研究通用的哈密顿人的量子计量学。我们提出了一项时间依赖性的随机参数转移规则，用于进化的量子状态的衍生物，从而可以获得量子渔民信息。该方案可以在参数化门的家族下在通用量子计算机中执行。在磁场估计中，我们证明了从随机参数迁移规则获得的结果与确切结果之间的结果，而从标准参数偏移规则获得的结果略微偏离了确切的结果。我们的工作阐明了使用量子电路算法使用通用哈密顿量研究量子计量学的启示。
Recently, variational quantum metrology was proposed for Hamiltonians with multiplicative parameters, wherein the estimation precision can be optimized via variational circuits. However, systems with generic Hamiltonians still lack these variational schemes. This work introduces a quantum-circuit-based approach for studying quantum metrology with generic Hamiltonians. We present a time-dependent stochastic parameter-shift rule for the derivatives of evolved quantum states, whereby the quantum Fisher information can be obtained. The scheme can be executed in universal quantum computers under the family of parameterized gates. In magnetic field estimations, we demonstrate the consistency between the results obtained from the stochastic parameter-shift rule and the exact results, while the results obtained from a standard parameter-shift rule slightly deviate from the exact ones. Our work sheds light on studying quantum metrology with generic Hamiltonians using quantum circuit algorithms.
