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.
Chen , author Q
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A qubit-reuse protocol estimates partial-transpose moments p_2 to p_K simultaneously to additive error ε using O(K log K / ε²) copies and at most 2n+1 active qubits independent of K, with matching Ω(K/ε²) lower bounds.
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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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Simultaneous Estimation of Partial-Transpose Moments with Active Memory Independent of the Moment Order
A qubit-reuse protocol estimates partial-transpose moments p_2 to p_K simultaneously to additive error ε using O(K log K / ε²) copies and at most 2n+1 active qubits independent of K, with matching Ω(K/ε²) lower bounds.