论文标题
量子混乱和电路参数优化
Quantum Chaos and Circuit Parameter Optimization
论文作者
论文摘要
我们在随机参数下探索变异电路状态的量子混乱诊断，并研究它们与电路表达性的相关性和控制参数的优化。通过测量降低密度矩阵模块化汉密尔顿的算子扩散系数和特征值光谱，我们确定了高深度电路状态下随机矩阵模型的通用结构。我们构造了与GOE和GUE分布相对应的不同层单位，并量化了其VQA性能。我们的研究还强调了量子混乱的OTOC和BGS型诊断之间的潜在张力。
We explore quantum chaos diagnostics of variational circuit states at random parameters and study their correlation with the circuit expressibility and the optimization of control parameters. By measuring the operator spreading coefficient and the eigenvalue spectrum of the modular Hamiltonian of the reduced density matrix, we identify the universal structure of random matrix models in high-depth circuit states. We construct different layer unitaries corresponding to the GOE and GUE distributions and quantify their VQA performance. Our study also highlights a potential tension between the OTOC and BGS-type diagnostics of quantum chaos.
