Symmetry-Resolved Parent Hamiltonians for Entangled Bosonic Cat Resources

• URL: http://arxiv.org/abs/2607.02997v1
• Date: Fri, 03 Jul 2026 06:28:49 GMT
• Title: Symmetry-Resolved Parent Hamiltonians for Entangled Bosonic Cat Resources
• Abstract summary: We derive explicit parent Hamiltonians for GHZ-, cluster-, and W-type cat states.<n>In the large-$||$ limit, the bosonic parent Hamiltonians reduce to stabilizer or exchange Hamiltonians acting on an effective logical-qubit basis.<n>The present construction provides a direct bridge between coherent-state bosonic engineering and stabilizer-based quantum information processing.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We derive parent Hamiltonians in terms of oscillator operators for multimode bosonic cat resource states. The construction separates a universal branch Hamiltonian, which confines each mode to the coherent-state support $ |\pmα\rangle$, and state-dependent constraint Hamiltonians, which select the desired correlations and symmetry sectors inside the resulting branch manifold. This framework progressively removes degeneracies in the low-energy manifold and yields explicit parent Hamiltonians for GHZ-, cluster-, and W-type cat states. In the large-$|α|$ limit, the bosonic parent Hamiltonians reduce to stabilizer or exchange Hamiltonians acting on an effective logical-qubit basis. The present construction provides a direct bridge between coherent-state bosonic engineering and stabilizer-based quantum information processing.

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