利用Trotter化、qDRIFT和非对称量子化模拟SYK模型的量子资源估算
Quantum Resource Estimation for Simulating the SYK Model with Trotterization, qDRIFT, and Asymmetric Qubitization
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中文总结 AI 辅助
本研究基于PsiQuantum的Construct平台，实现三种SYK模型模拟方法并估算量子资源，发现非对称量子化在多数场景下更具优势，相关成果可供研究者使用。
中文摘要 AI 辅助
Sachdev-Ye-Kitaev（SYK）模型因探测非平凡物理（即全息对偶与AdS/CFT对应）所需资源相对适中，被视为早期容错量子计算机的有前景候选方案。因此，充分理解该模拟的运行细节至关重要。我们借助PsiQuantum的Construct平台，实现并分析了三种模拟SYK模型的不同方法：Trotter化、qDRIFT和结合量子信号处理的非对称量子化。我们提供了包含这三种方法SYK模拟实现的开源库，用于获取量子资源估算值，即量子比特数和T门数量作为Majorana模式数与精度的函数。我们发现，虽然qDRIFT和Trotter化的量子比特数较低，但所需的大量T门使得非对称量子化在多数情况下更具优势，这与先前的理论考量一致。我们期望这些实现和估算值能为研究人员进一步研究SYK模型、理解相关技术与资源的变化提供帮助。
英文摘要
The Sachdev-Ye-Kitaev (SYK) model has been identified as a promising candidate to run on early fault-tolerant quantum computers due to the relatively modest resources required to probe non-trivial physics (namely holographic duality and AdS/CFT correspondence). As such, it is crucial that the details of how to run such a simulation are well understood. Using PsiQuantum's Construct platform, we implement and analyze three different approaches to simulate the SYK model: Trotterization, qDRIFT, and asymmetric qubitization with Quantum Signal Processing. We provide an open-source library containing implementations for SYK simulation using all three methods, which we use to obtain quantum resource estimates for qubit and T gate count as functions of the number of Majorana modes and precision. We find that while qDRIFT and Trotterization benefit from a lower qubit count, the large number of T gates required lead to asymmetric qubitization being advantageous in most cases. This reinforces previous theoretical considerations. We intend both the implementations and the estimates to be useful for researchers to continue to study the SYK model and understand how the techniques and resources vary.
