论文标题
用于量子多参数估计的变异工具箱
A variational toolbox for quantum multi-parameter estimation
论文作者
论文摘要
借助嘈杂和中级量子设备的不断扩展的生态系统，探索其可能的应用是量子信息科学的快速增长领域。在这项工作中，我们证明了此类设备上可行的变异量子算法应对量子计量领域的核心：识别近距离探针和测量算子的噪声多参数估计问题。我们首先引入了一个通用框架，该框架允许对变分参数进行顺序更新，以改善探针状态和测量值，并广泛适用于离散和连续变量的设置。然后，我们通过数值模拟证明了该方法的实际功能，展示了量身定制的探针和测量方法如何改善嘈杂制度中的标准方法。在此过程中，我们证明了噪声演变的一般参数转移规则的有效性，预计将对变分量子算法具有一般感兴趣。在我们的方法中，我们主张量子辅助设计的心态，利用量子技术来学习接近最佳，实验可行的量子计量协议。
With an ever-expanding ecosystem of noisy and intermediate-scale quantum devices, exploring their possible applications is a rapidly growing field of quantum information science. In this work, we demonstrate that variational quantum algorithms feasible on such devices address a challenge central to the field of quantum metrology: The identification of near-optimal probes and measurement operators for noisy multi-parameter estimation problems. We first introduce a general framework which allows for sequential updates of variational parameters to improve probe states and measurements and is widely applicable to both discrete and continuous-variable settings. We then demonstrate the practical functioning of the approach through numerical simulations, showcasing how tailored probes and measurements improve over standard methods in the noisy regime. Along the way, we prove the validity of a general parameter-shift rule for noisy evolutions, expected to be of general interest in variational quantum algorithms. In our approach, we advocate the mindset of quantum-aided design, exploiting quantum technology to learn close to optimal, experimentally feasible quantum metrology protocols.
