量子计算的自旋投影：一种处理强关联的低深度方法
Spin-projection for quantum computation: A low-depth approach to strong correlation
AI总结：
针对费米子系统变分模拟中自旋对称性易破坏、强关联处理难的问题，提出仅用少量旋转量子态叠加的低深度自旋投影方案，以极少电路开销精确恢复自旋对称性、获得目标自旋的强关联能，且通用易实现，可适配现有任意拟设。
摘要：
尽管自旋是费米子系统的核心性质，但在变分模拟中其对称性很容易被破坏，尤其是当强关联在其中起关键作用时。本研究证明，在量子计算机中可以精确恢复被破坏的自旋对称性，仅需极少的电路额外开销，同时还能获得具有目标自旋量子数的额外强关联能。所提方案仅采用少数几个旋转量子态的叠加，即可大幅减少确保自旋对称性所需的潜在大量测量操作。我们的实现方案具有通用性、简洁性，最重要的是可直接应用于目前已提出的任意ansatz（拟设）。
英文摘要：
Although spin is a core property in fermionic systems, its symmetry can be easily violated in a variational simulation, especially when strong correlation plays a vital role therein. In this study, we will demonstrate that the broken spin-symmetry can be restored exactly in a quantum computer, with little overhead in circuits, while delivering additional strong correlation energy with the desired spin quantum number. The proposed scheme permits drastic reduction of a potentially large number of measurements required to ensure spin-symmetry by employing a superposition of only a few rotated quantum states. Our implementation is universal, simple, and, most importantly, straightforwardly applicable to any ansatz proposed to date.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
