论文标题
验证策略
Qubitization strategies for bosonic field theories
论文作者
论文摘要
骨骼场理论的量子模拟需要在田间空间中截断，以将理论映射到有限的量子寄存器上。理想情况下，截断的理论保留了原始模型的对称性，并且在同一普遍性类别中具有关键点。在本文中，我们探索了两种不同的截断，这些截断可以保留1+1维$ o（3）$ noninear $σ$ -MODEL-一种通过设置角度动量截止的希尔伯特空间的截断，并通过设置一个垂直动量截止和模糊的球体，并受到非构成几何的启发。我们将有限盒子中的截短理论与完整的理论进行了比较。我们使用开放的边界条件，一种新颖的方法，可以改善我们计算中可访问的相关长度。我们提供的证据表明，角度摩托截断未能再现$σ$ - 模型，并且反铁磁模型模型与完整的理论一致。
Quantum simulations of bosonic field theories require a truncation in field space to map the theory onto finite quantum registers. Ideally, the truncated theory preserves the symmetries of the original model and has a critical point in the same universality class. In this paper, we explore two different truncations that preserve the symmetries of the 1+1-dimensional $O(3)$ non-linear $σ$-model - one that truncates the Hilbert space for the unit sphere by setting an angular momentum cutoff and a fuzzy sphere truncation inspired by non-commutative geometry. We compare the spectrum of the truncated theories in a finite box with the full theory. We use open boundary conditions, a novel method that improves on the correlation lengths accessible in our calculations. We provide evidence that the angular-momentum truncation fails to reproduce the $σ$-model and that the anti-ferromagnetic fuzzy model agrees with the full theory.
