Using quantum algorithms to simulate complex physical processes and correlations in quantum matter has been a major direction of quantum computing research, towards the promise of a quantum advantage over classical approaches. In this work we develop a generalized quantum algorithm to simulate any dynamical process represented by either the operator sum representation or the Lindblad master equation. We then demonstrate the quantum algorithm by simulating the dynamics of the Fenna-Matthews-Olson (FMO) complex on the IBM QASM quantum simulator. This work represents a first demonstration of a quantum algorithm for open quantum dynamics with a moderately sophisticated dynamical process involving a realistic biological structure. We discuss the complexity of the quantum algorithm relative to the classical method for the same purpose, presenting a decisive query complexity advantage of the quantum approach based on the unique property of quantum measurement.

中文翻译：

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用 Fenna-Matthews-Olson 复合体演示的开放量子动力学的通用量子算法

使用量子算法来模拟量子物质中复杂的物理过程和相关性一直是量子计算研究的主要方向，有望实现量子优于经典方法的优势。在这项工作中，我们开发了一种广义量子算法来模拟由算子和表示或 Lindblad 主方程表示的任何动态过程。然后，我们通过在 IBM QASM 量子模拟器上模拟 Fenna-Matthews-Olson (FMO) 复合体的动力学来演示量子算法。这项工作代表了开放量子动力学的量子算法的首次演示，该算法具有中等复杂的动力学过程，涉及真实的生物结构。为了相同的目的，我们讨论了量子算法相对于经典方法的复杂性，