测量-only量子线路中晶格规范-希格斯拓扑态的制备
Production of lattice gauge-Higgs topological states in measurement-only quantum circuit
AI总结：
本文提出测量-only量子线路可模拟虚时间演化制备基态，以(1+1)维Z2晶格规范-希格斯模型验证，重现丰富相图，为制备拓扑相等提供新途径。
摘要：
通过含哈密顿量的虚时间演化，任意态都会到达系统的基态。在这项工作中，我们推测这种动力学可以通过测量-only线路（MoC）来模拟，其中每次投影测量都以合适的方式设置。基于哈密顿量中的各项及其参数（系数）的比值，我们提出了选择被测量算符（称为稳定子）以及MoC中投影测量概率的指导原则。为了以实际方式检验和验证这一关于参数比值与概率比值对应的推测，我们研究了一个广义的(1+1)维$Z_2$晶格规范-希格斯模型，其相图非常丰富，包括对称性保护拓扑相、退禁闭相等。我们发现，根据该指导原则构建的MoC所重现的相图与规范-希格斯哈密顿量基态的相图非常相似。本工作表明，MoC可广泛用于制备有趣的材料相，而这些相难以通过由稳定子型项组成的普通哈密顿系统来模拟。
英文摘要：
By imaginary-time evolution with Hamiltonian, an arbitrary state arrives in the system's ground state. In this work, we conjecture that this dynamics can be simulated by measurement-only circuit (MoC), where each projective measurement is set in a suitable way. Based on terms in the Hamiltonian and ratios of their parameters (coefficients), we propose a guiding principle for the choice of the measured operators called stabilizers and also the probability of projective measurement in the MoC. In order to examine and verify this conjecture of the parameter ratio and probability ratio correspondence in a practical way, we study a generalized (1+1)-dimensional $Z_2$ lattice gauge-Higgs model, whose phase diagram is very rich including symmetry-protected topological phase, deconfinement phase, etc. We find that the MoC constructed by the guiding principle reproduces phase diagram very similar to that of the ground state of the gauge-Higgs Hamiltonian. The present work indicates that the MoC can be broadly used to produce interesting phases of matter, which are difficult to be simulated by ordinary Hamiltonian systems composed of stabilizer-type terms.
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