论文标题
量子电路中的加载概率分布
Loading Probability Distributions in a Quantum circuit
论文作者
论文摘要
产生概率分布的量子电路在几个领域都有应用。金融等领域需要量子电路，以生成模仿给定数据模式的分布。哈密顿模拟需要电路，以初始化物理量子系统的波函数。在某些情况下，这些波函数与一些众所周知的概率分布相同。在本文中，我们讨论了构建参数化量子电路的方法，这些量子电路可以同时产生对称和不对称分布。我们遵循量子状态的轨迹，因为将单个量子操作应用于系统，并找出到达所需分布的最佳方法。参数通过变分求解器优化。我们介绍了模拟器以及实际IBM量子硬件的结果。
Quantum circuits generating probability distributions has applications in several areas. Areas like finance require quantum circuits that can generate distributions that mimic some given data pattern. Hamiltonian simulations require circuits that can initialize the wave function of a physical quantum system. These wave functions, in several cases, are identical to some very well known probability distributions. In this paper we discuss ways to construct parameterized quantum circuits that can generate both symmetric as well as asymmetric distributions. We follow the trajectory of quantum states as single and two qubit operations get applied to the system, and find out the best possible way to arrive at the desired distribution. The parameters are optimized by a variational solver. We present results from both simulators as well as real IBM quantum hardwares.
