Quantum effects such as the environment assisted quantum transport (ENAQT) displayed in photosynthetic Fenna-Mathews-Olson (FMO) complex has been simulated on analog quantum simulators. Digital quantum simulations offer greater universality and flexibility over analog simulations. However, digital quantum simulations of open quantum systems face a theoretical challenge; one does not know the solutions of the continuous time master equation for developing quantum gate operators. We give a theoretical framework for digital quantum simulation of ENAQT by introducing new quantum evolution operators. We develop the dynamical equation for the operators and prove that it is an analytical solution of the master equation. As an example, using the dynamical equations, we simulate the FMO complex in the digital setting, reproducing theoretical and experimental evidence of the dynamics. The framework gives an optimal method for {quantum circuit} implementation, giving a log reduction in complexity over known methods. The generic framework can be extrapolated to study other open quantum systems.

中文翻译：

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开放量子系统中能量传输的数字量子模拟框架

在模拟量子模拟器上模拟了光合作用 Fenna-Mathews-Olson (FMO) 复合物中的环境辅助量子传输 (ENAQT) 等量子效应。数字量子模拟比模拟模拟具有更大的通用性和灵活性。然而，开放量子系统的数字量子模拟面临着理论挑战。人们不知道用于开发量子门算子的连续时间主方程的解。我们通过引入新的量子演化算子，给出了 ENAQT 数字量子模拟的理论框架。我们为算子开发了动力学方程，并证明它是主方程的解析解。例如，使用动力学方程，我们在数字环境中模拟 FMO 复合体，再现动力学的理论和实验证据。该框架为{量子电路}实现提供了一种最佳方法，与已知方法相比，复杂度降低了对数。通用框架可以外推到研究其他开放量子系统。