Finite stellar rank creates a trade-off between state-preparation cost and QEC performance for bosonic codes, with rank k=2 optimized encodings surpassing break-even under dephasing.
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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.
citing papers explorer
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Bosonic quantum error-correcting codes with finite stellar rank
Finite stellar rank creates a trade-off between state-preparation cost and QEC performance for bosonic codes, with rank k=2 optimized encodings surpassing break-even under dephasing.
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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.