论文标题
通过信息量化非稳定器
Quantifying non-stabilizerness via information scrambling
论文作者
论文摘要
量子技术的出现引起了人们对它们提供的计算资源的理论表征的广泛关注。量化量子资源的一种方法是使用一种称为魔术单调和稳定器熵的功能，但是对于大型系统尺寸而言，众所周知，这些功能很难且不切实际。在最近的研究中，建立了信息争夺，魔术单调法术和2-雷尼稳定剂熵之间的基本联系。这种连接简化了魔术单调计算，但是相对于量子数的数量，这类方法仍然受到指数缩放的影响。在这项工作中，我们建立了一种方法来采样近似魔术单调和2-雷尼稳定剂熵的超级相关器。我们从数值上显示了这些采样相关因子与量子系统和QUTRIT系统的不同非稳定度度量的关系，并提供了与2-瑞尼稳定剂熵的分析关系。此外，我们提出并模拟了一项协议，以衡量当地汉密尔顿人的时间演变的魔术行为。
The advent of quantum technologies brought forward much attention to the theoretical characterization of the computational resources they provide. A method to quantify quantum resources is to use a class of functions called magic monotones and stabilizer entropies, which are, however, notoriously hard and impractical to evaluate for large system sizes. In recent studies, a fundamental connection between information scrambling, the magic monotone mana and 2-Renyi stabilizer entropy was established. This connection simplified magic monotone calculation, but this class of methods still suffers from exponential scaling with respect to the number of qubits. In this work, we establish a way to sample an out-of-time-order correlator that approximates magic monotones and 2-Renyi stabilizer entropy. We numerically show the relation of these sampled correlators to different non-stabilizerness measures for both qubit and qutrit systems and provide an analytical relation to 2-Renyi stabilizer entropy. Furthermore, we put forward and simulate a protocol to measure the monotonic behaviour of magic for the time evolution of local Hamiltonians.
