论文标题
广义量子辅助模拟器
Generalized Quantum Assisted Simulator
论文作者
论文摘要
我们提供了一个嘈杂的中间尺度量子框架，用于模拟开放量子系统的动力学，广义时间演化，非线性微分方程和Gibbs状态准备。我们的算法不需要任何经典的量子反馈回路，绕过贫瘠的高原问题，并且不需要任何复杂的测量值，例如Hadamard测试。我们介绍了混合密度矩阵的概念，这使我们能够将算法的不同步骤删除，并将经典要求的任务委派给量子计算机。我们的算法以三个不相交的步骤进行。首先，我们选择ANSATZ，然后测量量子计算机上的重叠矩阵。最后一步涉及第二步中经典的后处理数据。我们的算法在求解Navier-Stokes方程，血浆流体动力学，量子玻尔兹曼训练，量子信号处理和线性系统方面具有潜在的应用。我们的整个框架与当前的实验兼容，可以立即实施。
We provide a noisy intermediate-scale quantum framework for simulating the dynamics of open quantum systems, generalized time evolution, non-linear differential equations and Gibbs state preparation. Our algorithm does not require any classical-quantum feedback loop, bypass the barren plateau problem and does not necessitate any complicated measurements such as the Hadamard test. We introduce the notion of the hybrid density matrix, which allows us to disentangle the different steps of our algorithm and delegate classically demanding tasks to the quantum computer. Our algorithm proceeds in three disjoint steps. First, we select the ansatz, followed by measuring overlap matrices on a quantum computer. The final step involves classical post-processing data from the second step. Our algorithm has potential applications in solving the Navier-Stokes equation, plasma hydrodynamics, quantum Boltzmann training, quantum signal processing and linear systems. Our entire framework is compatible with current experiments and can be implemented immediately.
