Eigenstates in interacting integrable models match random superpositions of polynomially many Gaussian states for entanglement and non-Gaussianity, while nonintegrable models match exponentially many.
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Quantum computers enable exponentially better scaling in the number of modes n for learning n-mode Gaussian optical states, with polynomially improved energy dependence over continuous-variable classical shadows.
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One-Body Purity, Non-Gaussianity, and Entanglement in Interacting Integrable Models
Eigenstates in interacting integrable models match random superpositions of polynomially many Gaussian states for entanglement and non-Gaussianity, while nonintegrable models match exponentially many.
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Learning Gaussian optical states with quantum computers
Quantum computers enable exponentially better scaling in the number of modes n for learning n-mode Gaussian optical states, with polynomially improved energy dependence over continuous-variable classical shadows.