A disordered system of interacting particles exhibits localized behavior when the disorder is large compared to the interaction strength. Studying this phenomenon on a quantum computer without error correction is challenging because even weak coupling to a thermal environment destroys most signatures of localization. Fortunately, spectral functions of local operators are known to contain features that can survive the presence of noise. In these spectra, discrete peaks and a soft gap at low frequencies compared to the thermal phase indicate localization. Here, we present the computation of spectral functions on a trapped-ion quantum computer for a one-dimensional Heisenberg model with disorder. Further, we design an error-mitigation technique which is effective at removing the noise from the measurement allowing clear signatures of localization to emerge as the disorder increases. Thus, we show that spectral functions can serve as a robust and scalable diagnostic of many-body localization on the current generation of quantum computers.
Probing many-body localization crossover in quasiperiodic Floquet circuits on a quantum processor
RIKEN Center for Computational Science（理化学研究所计算科学中心）；RIKEN Center for Quantum Computing（理化学研究所量子计算中心）；RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences（理化学研究所交叉理论与数学科学中心）；RIKEN Pioneering Research Institute（理化学研究所先驱研究所）；Jožef Stefan Institute（约热·斯特凡研究所）；University of Ljubljana（卢布尔雅那大学）
Probing non-ergodicity and symmetry via coherent forward scattering in a shaken rotor
Université de Toulouse, CNRS（图卢兹大学，法国国家科学研究中心）；Laboratoire Collisions Agrégats Réactivité, Université de Toulouse, CNRS（碰撞聚合反应实验室，图卢兹大学，法国国家科学研究中心）；Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS（理论物理实验室，图卢兹大学，法国国家科学研究中心，巴黎第七大学）；Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles（非线性现象与复杂系统中心，布鲁塞尔自由大学）；International Solvay Institutes（国际索尔维研究所）；MajuLab, CNRS-UCA-SU-NUS-NTU International Joint Research Unit, Singapore（新加坡中法联合研究实验室（CNRS-南锡大学-新加坡国立大学-南洋理工大学））；Centre for Quantum Technologies, National University of Singapore（新加坡国立大学量子技术中心）；Department of Physics, National University of Singapore（新加坡国立大学物理系）；Institut de Physique de Nice, Université Côte d’Azur, CNRS（尼斯物理研究所，蔚蓝海岸大学，法国国家科学研究中心）
Efficient detection of localization transitions using predictability
Federal University of Rio Grande do Norte（北里奥格兰德联邦大学）；Federal University of Santa Maria（圣玛丽亚联邦大学）；International Institute of Physics, Federal University of Rio Grande do Norte（北里奥格兰德联邦大学国际物理研究所）；School of Science and Technology, Federal University of Rio Grande do Norte（北里奥格兰德联邦大学科学技术学院）
Optical interferometric tools for probing memory effects
S. N. Bose National Centre for Basic Sciences（S. N. Bose 基础科学国家中心）；Indian Statistical Institute（印度统计研究所）；International Institute of Information Technology（国际信息技术学院）；Indian Institute of Technology Goa（印度理工学院果阿分校）
