带有局部编码的格子费米子理论的数字量子模拟

IF 5.1 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY
Quantum Pub Date : 2024-09-04 DOI:10.22331/q-2024-09-04-1460
Marco Ballarin, Giovanni Cataldi, Giuseppe Magnifico, Daniel Jaschke, Marco Di Liberto, Ilaria Siloi, Simone Montangero, Pietro Silvi
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引用次数: 0

摘要

我们从数值上分析了在开放边界条件下对费米子晶格场理论进行量子模拟的平台中立通用策略的可行性。数字量子模拟器只需要一个和两个量子比特门,而且是可扩展的,因为对每个哈密顿项进行积分只需要有限的(非扩展的)成本。我们采用的精确局部费米子编码依赖于辅助的 $\mathbb{Z}_2$ 晶格规量子场,方法是添加一个类似于托里克码的纯规哈密顿项。通过数值模拟量子模拟器的实时动力学,我们观察到自旋-$\frac{1}{2}$哈伯德梯在$t-J$模型极限中自旋和电荷激发的时标分离。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Digital quantum simulation of lattice fermion theories with local encoding
We numerically analyze the feasibility of a platform-neutral, general strategy to perform quantum simulations of fermionic lattice field theories under open boundary conditions. The digital quantum simulator requires solely one- and two-qubit gates and is scalable since integrating each Hamiltonian term requires a finite (non-scaling) cost. The exact local fermion encoding we adopt relies on auxiliary $\mathbb{Z}_2$ lattice gauge fields by adding a pure gauge Hamiltonian term akin to the Toric Code. By numerically emulating the quantum simulator real-time dynamics, we observe a timescale separation for spin- and charge-excitations in a spin-$\frac{1}{2}$ Hubbard ladder in the $t-J$ model limit.
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来源期刊
Quantum
Quantum Physics and Astronomy-Physics and Astronomy (miscellaneous)
CiteScore
9.20
自引率
10.90%
发文量
241
审稿时长
16 weeks
期刊介绍: Quantum is an open-access peer-reviewed journal for quantum science and related fields. Quantum is non-profit and community-run: an effort by researchers and for researchers to make science more open and publishing more transparent and efficient.
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