Introduces non-Gaussian control parameters (s0, δ0) and an optimization method that reduces photon detections by a factor of three and increases preparation probability by nearly 10^8 for GKP states, with gains shown across cat, cubic phase, and random states.
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Photon catalysis protocols are shown to be provably optimal in some cases for approximating squeezed cat states, with identified parameter regimes achieving high fidelity using minimal non-Gaussian resources while benchmarking against alternative methods.
Fock-state lattices are built from Lie-algebra generators, linking their structure and dynamics to phase-space geometry and revealing when integrable Hamiltonians lack such an algebraic origin.
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Beyond Stellar Rank: Control Parameters for Scalable Optical Non-Gaussian State Generation
Introduces non-Gaussian control parameters (s0, δ0) and an optimization method that reduces photon detections by a factor of three and increases preparation probability by nearly 10^8 for GKP states, with gains shown across cat, cubic phase, and random states.
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Optimal stellar rank approximation of squeezed cat states with photon catalysis
Photon catalysis protocols are shown to be provably optimal in some cases for approximating squeezed cat states, with identified parameter regimes achieving high fidelity using minimal non-Gaussian resources while benchmarking against alternative methods.
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Algebraic structure of Fock-state lattices
Fock-state lattices are built from Lie-algebra generators, linking their structure and dynamics to phase-space geometry and revealing when integrable Hamiltonians lack such an algebraic origin.