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Near optimal quantum algorithm for estimating Shannon entropy
Myeongjin Shin, Kabgyun Jeong
https://arxiv.org/abs/2509.07452 https://arxiv.org/pdf/2509.074…

Near optimal quantum algorithm for estimating Shannon entropy
We present a near-optimal quantum algorithm, up to logarithmic factors, for estimating the Shannon entropy in the quantum probability oracle model. Our approach combines the singular value separation algorithm with quantum amplitude amplification, followed by the application of quantum singular value transformation. On the lower bound side, we construct probability distributions encoded via Hamming weights in the oracle, establishing a tight query lower bound up to logarithmic factors. Conseque…

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Reply to "Comment(s) to "Consequences of the single-pair measurement of the Bell parameter""
Marco Genovese, Fabrizio Piacentini
https://arxiv.org/abs/2509.07922

Reply to "Comment(s) to "Consequences of the single-pair measurement of the Bell parameter""
We reply to the comments made by M. Kupczynski and J. P. Lambare on our recent paper titled ''Consequences of the single-pair measurement of the Bell parameter'' [Phys. Rev. A 111, 022204 (2025)], questioning our claims on the implications on Quantum Mechanics interpretations (and alternative theories) generated by the results of a recent experiment [Quantum Sci. Technol. 9, 045027 (2024)] demonstrating the possibility of measuring the entire Bell parameter on a single entangled pair.