AI 中文总结
研究强关联费米子 - 声子模型难题，采用基于数模电路量子电动力学架构的方法，以量子比特 - 谐振器拉比门为核心构建模型量子电路，实现对相关物理特征的探测及为超导量子硬件开发测量和变分协议。
AI 中文摘要
基于门的数字量子模拟为研究强关联系统的多体物理提供了新范式。电子 - 声子模型对仅含量子比特的量子模拟器具有挑战性，因其玻色自由度需昂贵的有限维编码。本文阐述一种基于数模电路量子电动力学架构的方法，费米子由跨导量子比特编码，玻色子由微波谐振器直接表示。该框架核心是模拟强电子 - 声子耦合的量子比特 - 谐振器拉比门，通过一系列谐振杰恩斯 - 卡明斯门与单量子比特旋转层交错实现。以拉比门为基本酉操作，构建了哈伯德 - 霍尔斯坦和汤川 - 萨赫德夫 - 叶 - 基塔耶夫模型的量子电路，还展示了如何通过电路模拟探测这些模型中的非经典声子物理和量子混沌特征，并为近期超导量子硬件开发了测量和变分协议。
英文摘要
Gate-based digital quantum simulations offer an exciting new paradigm for studying the many-body physics of strongly correlated systems. In this context, electron-phonon models are challenging for qubit-only quantum simulators, as bosonic degrees of freedom require costly finite-dimensional encodings. Here, we elaborate on an alternative approach based on a digital-analog circuit QED architecture, where fermions are encoded in transmon qubits while bosons are represented directly by microwave resonators. The central building block of this framework is a qubit-resonator Rabi gate that emulates strong electron-phonon coupling and can be implemented through a sequence of resonant Jaynes-Cummings gates interleaved with layers of single-qubit rotations. Using this Rabi gate as the fundamental unitary operation, we construct quantum circuits for the Hubbard-Holstein and Yukawa-Sachdev-Ye-Kitaev models, which describe, respectively, strongly correlated electrons coupled to phonons and phonon-mediated interactions among Majorana fermions. We further demonstrate how nonclassical phonon physics and signatures of quantum chaos in these models can be probed through circuit simulations, and develop measurement and variational protocols tailored to near-term superconducting quantum hardware.
Comments21 pages, 18 figures, 3 tables
