Kudo Kazue
Department of Computer Science, Ochanomizu University, Tokyo 112-8610, Japan.
Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan.
Entropy (Basel). 2022 Aug 5;24(8):1085. doi: 10.3390/e24081085.
Detecting many-body localization (MBL) typically requires the calculation of high-energy eigenstates using numerical approaches. This study investigates methods that assume the use of a quantum device to detect disorder-induced localization. Numerical simulations for small systems demonstrate how the magnetization and twist overlap, which can be easily obtained from the measurement of qubits in a quantum device, changing from the thermal phase to the localized phase. The twist overlap evaluated using the wave function at the end of the time evolution behaves similarly to the one evaluated with eigenstates in the middle of the energy spectrum under a specific condition. The twist overlap evaluated using the wave function after time evolution for many disorder realizations is a promising probe for detecting MBL in quantum computing approaches.
检测多体局域化（MBL）通常需要使用数值方法来计算高能本征态。本研究探讨了一些假设使用量子设备来检测无序诱导局域化的方法。对小系统的数值模拟表明，磁化强度和扭转重叠，这可以很容易地从量子设备中的量子比特测量中获得，是如何从热相转变为局域相的。在特定条件下，使用时间演化末期的波函数评估的扭转重叠与使用能谱中间本征态评估的扭转重叠表现相似。对许多无序实现情况使用时间演化后的波函数评估的扭转重叠是量子计算方法中检测MBL的一个有前途的探针。
