通过一阶相变的量子退火：场论方法
Quantum annealing through a first-order phase transition: field theory approach
AI总结：
该研究提出场论方法描述量子退火中缺陷产生动力学，预测一阶相变附近误差率的幂律行为，为识别并避免一阶临界点以优化量子退火计算提供依据。
AI中文摘要：
与二阶相变不同，一阶相变存在系统被困在亚稳态的阶段，该状态的衰变会在基态之上产生大量激发。我们提出了一种用于描述量子退火计算过程中缺陷产生动力学的场论，该理论预测，在量子退火经过或接近一阶相变时，误差产生率遵循若干幂律；当参数连续变化时，幂指数会发生突变。观测到该行为将是一阶临界点的特征，有助于识别并避免这些临界点以优化计算。驱动型Lipkin-Meshkov-Glick模型（LMGm）是展示该行为的最小相互作用伊辛自旋模型。
英文摘要：
Unlike second-order phase transitions, a first-order transition has a stage, in which a system is trapped in a metastable state. The decay of this state leads to abundant excitations over the ground state. We present a field theory for kinetics of defects emerging during quantum annealing computations. This theory predicts several power laws for the error generation rate during quantum annealing either though or near the first-order phase transition. Sharp changes between the power exponents are predicted for continuous parameter changes. Observation of this behavior would be a signature of first-order critical points and could help identify and avoid them for better computations. The driven Lipkin-Meshkov-Glick model (LMGm) serves as the minimal model of interacting Ising spins that demonstrates this behavior.
