论文标题
开放量子系统的最佳量子模拟
Optimal quantum simulation of open quantum systems
论文作者
论文摘要
量子系统上的数字量子模拟需要可以使用有限量子资源来实现的算法。最近的研究表明，在嘈杂的中间量子（NISQ）设备上对开放量子系统进行了数字量子模拟。在这项工作中，我们开发了量子电路，以最佳模拟马尔可夫和非马克维亚开放量子系统。电路使用Ancilla Qubits模拟环境，并通过在额外的Qubits上存储有关系统的信息来引起内存效应。我们通过动力学的（非）单调行为来模拟振幅阻尼通道和驱动通道作为框架的示例和推断（非）马尔可道。此外，我们开发了一种方法来通过将复杂的开放量子动力学分解为较小的部分来优化模拟，可以使用少量量子台进行模拟。我们表明，这种优化将量子空间复杂性从$ O（l）$降低到$ o（1）$，用于模拟环境。
Digital quantum simulation on quantum systems require algorithms that can be implemented using finite quantum resources. Recent studies have demonstrated digital quantum simulation of open quantum systems on Noisy Intermediate-Scale Quantum (NISQ) devices. In this work, we develop quantum circuits for optimal simulation of Markovian and Non-Markovian open quantum systems. The circuits use ancilla qubits to simulate the environment, and memory effects are induced by storing information about the system on extra qubits. We simulate the amplitude damping channel and dephasing channel as examples of the framework and infer (Non-)Markovianity from the (non-)monotonic behaviour of the dynamics. Further, we develop a method to optimize simulations by decomposing complex open quantum dynamics into smaller parts, that can be simulated using a small number of qubits. We show that this optimization reduces quantum space complexity from $O(l)$ to $O(1)$ for simulating the environment.
