AI 中文总结
本研究在SU(3)梯子上构造信息保持的边界重构，以在保持内部物理的同时处理高斯约束，并证明相干资源可降低能量成本，且能量密度极限独立于纵向长度。
AI 中文摘要
高斯约束使得在保持内部物理的同时打开、关闭或连接规范系统变得非平凡。在六个位点单重态截断下，于纯SU(3)梯子上构造了边界重构，并考虑了所有允许的交缠子多重度。利用合法的列路径和物理自环获得了规定长度的替换。在其声明的物理域内，通道保持未归一化的条件内部矩阵，包括其权重和分支内相干性。最低截断退相控制表明，仅路径概率无法保持匹配的磁观测量。在该示例中，相干资源在不进行纯化或全局基态制备的情况下降低了输出能量。匹配的内部哈密顿量项精确抵消，因此能量成本受纵向长度的独立限制。真空和通量能量密度随后通过同扇区粘合和稳定性分别建立。利用合格的周期性最小化域，通过两次等长边界比较，证明了开放和周期性真空减除线能量密度相等。这些极限在固定晶格间距、横向宽度、耦合和选定截断下成立。
英文摘要
Gauss constraints make it nontrivial to open, close or join a gauge system while retaining its interior physics. Boundary reconstructions are constructed on a pure SU(3) ladder at six site-singlet cutoffs, with all allowed intertwiner multiplicities. Replacements of prescribed length are obtained using legal column paths and physical self-loops. On their stated physical domains, the channels preserve unnormalized conditional interior matrices, including their weights and within-branch coherence. Lowest-cutoff dephasing controls show that path probabilities alone do not preserve the matched magnetic observables. In that example, coherent resources lower the output energy without purification or global ground-state preparation. Matched interior Hamiltonian terms cancel exactly, so the energy cost is bounded independently of longitudinal length. The vacuum and flux energy densities are then established separately by same-sector gluing and stability. The open and periodic vacuum-subtracted line-energy densities are shown to be equal by two same-length boundary comparisons using the qualified periodic minimizing domain. These limits hold at fixed lattice spacing, transverse width, coupling and chosen cutoff.
Comments25 pages, 6 figures, 2 tables; includes 2 pages of Supplementary Information
