CBNE enables estimation of nonlinear quantum properties such as higher-order expectations from a single randomized measurement setting under sufficient system dimension or ancillary qubits.
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Linear Stabilizer Entropy serves as a proper non-stabilizerness monotone with overwhelming probability for non-adaptive Clifford channels on flat mixed stabilizer states, with violation probability decaying exponentially in system size.
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Quantum Nonlinear Properties from a Single Measurement Setting
CBNE enables estimation of nonlinear quantum properties such as higher-order expectations from a single randomized measurement setting under sufficient system dimension or ancillary qubits.
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Stabilizer entropy is trustworthy for mixed states
Linear Stabilizer Entropy serves as a proper non-stabilizerness monotone with overwhelming probability for non-adaptive Clifford channels on flat mixed stabilizer states, with violation probability decaying exponentially in system size.