论文标题
在模拟1+1-D非亚伯仪理论中保护本地和全球对称性
Protecting local and global symmetries in simulating 1+1-D non-abelian gauge theories
论文作者
论文摘要
任何量子理论的有效量子仿真方案都要求其基础对称性有效保护协议。对于仪表理论来说，此任务是不平凡的，因为它涉及局部对称性/不变性。对于非亚洲仪表理论，保护一组相互非交换发电机产生的所有对称性尤其困难。在这封信中，提出了全球对称性保护方案。使用新型的循环 - 弦 - 弦 - 弦 - 弦乐形式，我们数值表明，通过这种全球对称性保护方案，即使在很大程度上也保护了所有局部对称性。具有适当的保护强度，即使在汉密尔顿（Hamiltonian）明确的局部对称性违反术语中，在模拟和数字仿真方案中可能发生的明确局部对称术语，即使存在明确的局部对称术语，也可能存在于该理论的物理希尔伯特空间的物理希尔伯特空间中的晶格量表理论的动力学。整个方案也适用于SU（3）仪表理论。
Efficient quantum simulation protocols for any quantum theories demand efficient protection protocols for its underlying symmetries. This task is nontrivial for gauge theories as it is involves local symmetry/invariance. For non-Abelian gauge theories, protecting all the symmetries generated by a set of mutually non-commuting generators, is particularly difficult. In this letter, a global symmetry-protection protocol is proposed. Using the novel loop-string-hadron formalism of non-Abelian lattice gauge theory, we numerically demonstrate that all of the local symmetries get protected even for large time by this global symmetry protection scheme. With suitable protection strength, the dynamics of a (1+1)-dimensional SU(2) lattice gauge theory remains confined in the physical Hilbert space of the theory even in presence of explicit local symmetry violating terms in the Hamiltonian that may occur in both analog and digital simulation schemes as an error. The whole scheme holds for SU(3) gauge theory as well.
