AI 中文总结
研究在基于量子比特和混合量子比特-玻色子的量子计算机上模拟迪克模型，开发变分框架，该模型能再现迪克模型临界行为，还引入变分假设减少量子资源，为集体光与物质系统变分量子模拟建立框架并为模拟自旋-玻色子模型提供途径。
AI 中文摘要
迪克模型提供了集体光与物质相互作用的基本描述，长期以来一直是探索量子光学和凝聚态物理中各种物理现象的试验台。在这项工作中，我们开发了一个变分框架，用于研究全量子比特（数字）和混合量子比特-玻色子（数字-模拟）量子计算平台上的有限尺寸迪克模型。我们表明，所得模型在适当的大自旋极限下再现了迪克模型的特征临界行为，同时适用于量子计算机的经典模拟器和实际的俘获离子量子计算机，尽管后者在一定程度上受噪声限制。最后，我们引入了一种互补的混合量子比特-玻色子变分假设，直接利用玻色子自由度来减少量子资源，并讨论其在混合量子硬件上的潜在实现。我们的结果为集体光与物质系统的变分量子模拟建立了一个可扩展、对称感知的框架，并为在近期量子设备上高效模拟更一般的自旋-玻色子模型提供了一条途径。
英文摘要
The Dicke model provides a fundamental description of collective light-matter interactions and has long served as a testbed for exploring a wide range of physical phenomena in quantum optics and condensed matter physics. In this work, we develop a variational framework for investigating the finite-size Dicke model on both fully qubit-based (digital) and hybrid qubit boson based (digital-analogue) quantum computing platforms. We show that the resulting model reproduces the characteristic critical behavior of the Dicke model in the appropriate large-spin limit while remaining suitable for implementation on both classical emulators of quantum computers and actual trapped ion quantum computers, albeit in the case of latter somewhat limited by noise. Finally, we introduce a complementary hybrid qubit-bosonic variational ansatz that directly exploits the bosonic degree of freedom to reduce quantum resources and discuss its potential implementation on hybrid quantum hardware. Our results establish a scalable, symmetry-aware framework for variational quantum simulations of collective light-matter systems and provide a pathway toward efficient simulations of more general spin-boson models on near-term quantum devices.
Comments21 pages, 9 figures
