发表机构
Centre for Quantum Engineering, Research and Education, TCG CREST; Academy of Scientific and Innovative Research (AcSIR); Okinawa Institute of Science and Technology Graduate University; School of Physical Sciences, National Institute of Science Education and Research; Department of Physics, Institute of Science Tokyo（TCG CREST 量子工程、研究与教育中心; 科学与创新研究学院; 冲绳科学技术大学院大学; 国家科学教育与研究学院物理科学学院; 东京科学大学物理系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究人员借助IBM超导量子计算机，通过多步电路优化实现12量子比特一维费米-哈伯德模型的斯塔克多体局域化模拟，验证了弱场倾斜下热化、大倾斜下强局域化的动力学交叉，结果与精确模拟吻合。
AI 中文摘要
多体局域化（MBL）是描述孤立量子多体系统非遍历性的动力学现象，与热化效应相反，该现象会使局部系统的初始状态产生长时记忆，且纠缠增长缓慢。本研究利用IBM超导量子比特量子计算机上的哈密顿量模拟，研究一维费米-哈伯德模型描述的12量子比特关联费米系统中的斯塔克多体局域化。为在当前有噪声的硬件上实现该计算，研究结合了一系列编译步骤，包括使用自旋分辨的Jordan-Wigner变换、采用SWAP网络，并在标准电路优化流程之上集成基于张量网络的量子电路优化程序。结果显示，两量子比特门数量和电路深度分别减少约88%和87%。通过利用Trotter化量子电路对实时动力学的模拟，研究展示了系统在弱场倾斜下的热化动力学与大倾斜且短演化时间下的强局域化行为之间的交叉现象，还将所得结果与精确模拟的结果进行了基准测试。
英文摘要
Many-body localization (MBL) is a dynamical phenomenon that describes the non-ergodicity of isolated quantum many-body systems. In contrast to thermalization, this phenomenon leads to a long-lived memory of initial states of local systems and slow growth of entanglement. In this work, we study Stark MBL in a 12-qubit correlated fermionic system described by the one-dimensional Fermi-Hubbard model using Hamiltonian simulation on an IBM superconducting qubit quantum computer. To enable such a computation on current-day noisy hardware, we combine a series of compilation steps, including the use of the spin-resolved Jordan-Wigner transformation, employing SWAP networks, and integrating a tensor-network-based quantum circuit optimization routine on top of a standard circuit optimization pipeline. As a result, there is approximately an 88$\%$ and 87$\%$ reduction in two-qubit gate count and circuit depth, respectively. Through such simulations of the real-time dynamics using Trotterized quantum circuits, we exhibit a crossover from thermalizing dynamics of the system at a weak tilt of the field to a strongly localized behavior at large tilt with short evolution times. We also benchmark our obtained results with respect to those from exact simulations.
Comments13 pages , 7 figures, and 1 table; Comments are welcome
