Fermi-Hubbard模型和高温超导体模型的资源优化容错模拟

IF 8.3 1区 物理与天体物理 Q1 PHYSICS, APPLIED
Angus Kan, Benjamin C. B. Symons
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引用次数: 0

摘要

探索低成本应用对于早期容错量子计算机的价值创造至关重要。在这里,我们优化了模拟费米-哈伯德模型的最新算法的门和量子位计数。我们进一步设计和编译算法来模拟铜和镍高温超导体的已建立模型,其中包括费米-哈伯德模型中不存在的超近邻跳跃项和多轨道相互作用。我们表明,与模拟费米-哈伯德模型相比,模拟这些更现实的高温超导体模型只需要一个数量级左右的托佛利门。此外,我们发现了大量具有Toffoli和量子位计数的经典困难实例,这些实例远低于量子化学中电子结构问题中通常考虑的量子相位估计电路。我们相信我们的结果为在早期容错量子计算机上研究高温超导体铺平了道路。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Resource-optimized fault-tolerant simulation of the Fermi-Hubbard model and high-temperature superconductor models

Resource-optimized fault-tolerant simulation of the Fermi-Hubbard model and high-temperature superconductor models

Exploring low-cost applications is paramount to creating value in early fault-tolerant quantum computers. Here, we optimize both gate and qubit counts of recent algorithms for simulating the Fermi-Hubbard model. We further devise and compile algorithms to simulate established models of cuprate and pnictide high-temperature superconductors, which include beyond-nearest-neighbor hopping terms and multi-orbital interactions that are absent in the Fermi-Hubbard model. We show that simulations of these more realistic models of high-temperature superconductors require only an order of magnitude or so more Toffoli gates than a simulation of the Fermi-Hubbard model. Furthermore, we find plenty classically difficult instances with Toffoli and qubit counts that are far lower than commonly considered quantum phase estimation circuits for electronic structure problems in quantum chemistry. We believe our results pave the way towards studying high-temperature superconductors on early fault-tolerant quantum computers.

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来源期刊
npj Quantum Information
npj Quantum Information Computer Science-Computer Science (miscellaneous)
CiteScore
13.70
自引率
3.90%
发文量
130
审稿时长
29 weeks
期刊介绍: The scope of npj Quantum Information spans across all relevant disciplines, fields, approaches and levels and so considers outstanding work ranging from fundamental research to applications and technologies.
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