Covariance matrices for finite-dimensional DFT-related position-momentum pairs are fully characterized via unitary invariants, convex geometry, and SDP, yielding extremal states and application bounds.
Serafini,Quantum continuous variables: a primer of theo- retical methods(CRC press, 2023)
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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.
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The uncertainty geometry of finite-dimensional position and momentum
Covariance matrices for finite-dimensional DFT-related position-momentum pairs are fully characterized via unitary invariants, convex geometry, and SDP, yielding extremal states and application bounds.
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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.