We derive the primitive quantum gate sets to simulate lattice quantum chromodynamics (LQCD) in the strong-coupling limit with one flavor of massless staggered quarks. This theory is of interest for studies at non-zero density as the sign problem can be overcome using Monte Carlo methods. In this work, we use it as a testing ground for quantum simulations. The key point is that no truncation of the bosonic Hilbert space is necessary as the theory is formulated in terms of color-singlet degrees of freedom (“baryons” and “mesons”). The baryons become static in the limit of continuous time and decouple, whereas the dynamics of the mesonic theory involves two qubits per lattice site. Lending dynamics also to the “baryons” simply requires to use the derived gate set in its controlled version.

中文翻译：

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强耦合极限下晶格 QCD 的量子门集：\(N_{f}=1\)

我们推导出原始量子门集来模拟强耦合极限下的晶格量子色动力学（LQCD），并具有一种无质量交错夸克的风格。该理论对于非零密度的研究很有意义，因为可以使用蒙特卡罗方法克服符号问题。在这项工作中，我们将其用作量子模拟的试验场。关键点是，不需要对玻色子希尔伯特空间进行截断，因为该理论是根据颜色单重态自由度（“重子”和“介子”）制定的。重子在连续时间和解耦的限制下变得静态，而介子理论的动力学涉及每个晶格位点两个量子位。将动力学也借给“重子”只需要在其受控版本中使用导出的门集。