论文标题
两个耦合Kerr参数振荡器的确定性和随机抽样
Deterministic and stochastic sampling of two coupled Kerr parametric oscillators
论文作者
论文摘要
建立问题优化的计算硬件的愿景刺激了物理社区的巨大努力。特别是,KERR参数振荡器(KPO)的网络被视为找到伊辛汉密尔顿人的基础状态的模拟器。但是,已经表明,KPO网络可以采用大量意外解决方案,这些解决方案很难使用现有的确定性(即绝热)协议进行采样。在这项工作中,我们在实验上实现了一个两个经典耦合KPO的系统,并且我们发现与预测的映射到伊辛州。然后,我们基于系统的随机采样引入协议,并展示了如何使用所产生的概率分布来识别相应的Ising Hamiltonian的基态。该方法类似于多个平衡固定状态的蒙特卡洛采样,而不是确定性方案不容易被局部最小值捕获。
The vision of building computational hardware for problem optimization has spurred large efforts in the physics community. In particular, networks of Kerr parametric oscillators (KPOs) are envisioned as simulators for finding the ground states of Ising Hamiltonians. It was shown, however, that KPO networks can feature large numbers of unexpected solutions that are difficult to sample with the existing deterministic (i.e., adiabatic) protocols. In this work, we experimentally realize a system of two classical coupled KPOs, and we find good agreement with the predicted mapping to Ising states. We then introduce a protocol based on stochastic sampling of the system, and we show how the resulting probability distribution can be used to identify the ground state of the corresponding Ising Hamiltonian. This method is akin to a Monte Carlo sampling of multiple out-of-equilibrium stationary states and is less prone to become trapped in local minima than deterministic protocols.