Symmetry-resolved parent Hamiltonians for entangled bosonic cat resources

Abstract: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.

arXiv:2607.02997 [quant-ph]

(or arXiv:2607.02997v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2607.02997 Focus to learn more arXiv-issued DOI via DataCite

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