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.
Related
- Local projective reconstruction of driven bosonic Hamiltonians
- Exact Work Characteristic Functions for Time-Dependent Bosonic Quadratic Hamiltonians
- Finite Nonsignalling Resources Suffice to Simulate Entangled Qubits
- Entangled measurements are necessary for optimal tomography of mixed fermionic Gaussian states and of bosonic Gaussian states near the vacuum
- Time-resolved infrared spectroscopy with entangled photons and visible-light detection
BibTeX
@misc{brauer2026symmetryresolved,
title = {{Symmetry-resolved parent Hamiltonians for entangled bosonic cat resources}},
author = {Šimon Bräuer and Klaus Mølmer},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2607.02997},
eprint = {2607.02997},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.02997},
}
RIS
TY - UNPB
TI - Symmetry-resolved parent Hamiltonians for entangled bosonic cat resources
AU - Šimon Bräuer
AU - Klaus Mølmer
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2607.02997
UR - https://arxiv.org/abs/2607.02997
AB - 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.
ER -