Symmetry-resolved parent Hamiltonians for entangled bosonic cat resources
The paper develops a constructive method to find parent Hamiltonians for various bosonic cat states (GHZ, cluster, W-type) using oscillator operators. It separates a universal branch Hamiltonian from state-dependent constraint Hamiltonians to systematically eliminate degeneracies and isolate the specific Hamiltonian that defines the target entangled resource state.