论文标题
开放量子动力学的换向模拟器
Commutation simulator for open quantum dynamics
论文作者
论文摘要
量子模拟和算法的最新进展表明能力的迅速扩展。搜索继续寻找新技术和应用程序以利用量子优势。在这里,我们提出了一种创新的方法,可以直接研究时间相关密度运算符$ \hatρ(t)$的属性。使用广义量子换向模拟器,我们可以直接计算换向关系的期望值,从而直接计算$ \hatρ(t)$的变更率的期望值。该方法可以通过仅使用单量表测量值的统计数据来用作von Neumann方程的量子本特征矢量求解器和lindblad方程的反谐波研究者。在单Qubit案例中证明了一个简单但重要的例子,我们讨论了使用许多量子位的实用量子模拟方法扩展,以研究更现实的量子系统。
Recent progress in quantum simulation and algorithms has demonstrated a rapid expansion in capabilities. The search continues for new techniques and applications to exploit quantum advantage. Here we propose an innovative method to investigate directly the properties of a time-dependent density operator $\hatρ(t)$. Using generalised quantum commutation simulators, we can directly compute the expectation value of the commutation relation and thus of the rate of change of $\hatρ(t)$. The approach can be utilised as a quantum eigen-vector solver for the von Neumann equation and a decoherence investigator for the Lindblad equation, by using just the statistics of single-qubit measurements. A simple but important example is demonstrated in the single-qubit case and we discuss extension of the method for practical quantum simulation with many qubits, towards investigation of more realistic quantum systems.