A natural energy condition satisfied by most physical bosonic states, including outputs of universal bosonic circuits, allows the effective dimension for ε-approximations to scale as log(1/ε) instead of 1/ε², enabling improved learning and classical simulation algorithms.
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The approximate stellar rank serves as an operational measure of non-Gaussianity that yields bounds and new no-go results for approximate and probabilistic Gaussian state conversion and distillation.
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Exponentially-improved effective descriptions of physical bosonic systems
A natural energy condition satisfied by most physical bosonic states, including outputs of universal bosonic circuits, allows the effective dimension for ε-approximations to scale as log(1/ε) instead of 1/ε², enabling improved learning and classical simulation algorithms.
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Assessing non-Gaussian quantum state conversion with the stellar rank
The approximate stellar rank serves as an operational measure of non-Gaussianity that yields bounds and new no-go results for approximate and probabilistic Gaussian state conversion and distillation.