The paper presents QSVT-based algorithms that estimate Renyi and von Neumann entropies from copies of a quantum state by measuring ancillas, with improved sample complexity over prior copy-based methods.
Quantum theory, the church–turing principle and the universal quantum computer
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Estimation of Nonlinear Physical Quantities By Measuring Ancillas
The paper presents QSVT-based algorithms that estimate Renyi and von Neumann entropies from copies of a quantum state by measuring ancillas, with improved sample complexity over prior copy-based methods.