Gaussian superpositions for bosonic encodings

• URL: http://arxiv.org/abs/2603.15258v1
• Date: Mon, 16 Mar 2026 13:25:17 GMT
• Title: Gaussian superpositions for bosonic encodings
• Abstract summary: Non-Gaussian bosonic states are ubiquitous in interacting light--matter systems, many-body platforms, and quantum field settings.<n>We introduce an exact finite-manifold encoding for states supported on a finite span of Gaussian branches.<n>As demonstrations, we obtain closed-form and numerically stable evaluations of entropies and relative-entropy non-Gaussianity.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Non-Gaussian bosonic states are ubiquitous in interacting light--matter systems, many-body platforms, and relativistic quantum field settings, but their quantitative characterization is hindered by the infinite-dimensional Hilbert space and by the poor scalability of Fock-space truncation methods. We introduce an exact finite-manifold encoding for states supported on a finite span of Gaussian branches, enabling the use of standard finite-dimensional quantum-information tools directly on an effective density matrix whose entries are determined by Gaussian overlaps. As demonstrations, we obtain closed-form and numerically stable evaluations of entropies and relative-entropy non-Gaussianity, and derive an analytic expression for the bipartite entanglement negativity of arbitrary multimode two-branch Gaussian superpositions, including a minimal which-branch dephasing model. Our framework provides a practical bridge between experimentally accessible continuous-variable resources (e.g., cat-like and measurement-conditioned states) and discrete-variable information measures, with immediate applications to benchmarking non-Gaussian resources in several quantum technology platforms.

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