发表机构
Niels Bohr Institute, University of Copenhagen（尼尔斯·玻尔研究所，哥本哈根大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究多模玻色子猫态资源态的母哈密顿量，通过振荡器算子构建，分离通用分支哈密顿量与状态相关约束哈密顿量，去除低能流形简并，给出多种猫态的显式母哈密顿量，搭建相干态与量子信息处理间桥梁。
AI 中文摘要
我们根据振荡器算子推导了多模玻色子猫态资源态的母哈密顿量。该构造分离出一个通用分支哈密顿量，它将每个模式限制在相干态支撑$|\pm\alpha\rangle$，以及状态相关的约束哈密顿量，后者在所得分支流形内选择所需的相关性和对称扇区。此框架逐步消除低能流形中的简并性，并为GHZ、簇和W型猫态产生显式的母哈密顿量。在大$|\alpha|$极限下，玻色子母哈密顿量简化为作用在有效逻辑量子比特基上的稳定器或交换哈密顿量。目前的构造在相干态玻色子工程和基于稳定器的量子信息处理之间提供了直接桥梁。
英文摘要
Schrödinger cat states, formed from superpositions of well-separated coherent states, are promising resources for bosonic quantum information. We construct parent Hamiltonians for entangled multimode cat states by separating the selection of local coherent-state branches from the correlations and symmetries that determine their global superposition. GHZ-, cluster-, and W-type cat states illustrate three distinct mechanisms for this construction. In the limit of well-separated branches, the resulting oscillator Hamiltonians reduce to familiar qubit parent models based on correlations, stabilizers, and exchange symmetry. The same constraint structure also provides a common basis for coherent preparation, dissipative stabilization, and state certification.
