Nov 22, 2021 · We study the problem of obtaining estimates to within a multiplicative factor \gamma>1 of the Shannon entropy of probability distributions and ...
Nov 22, 2021 · In this paper, we study quantum algorithms for the problem of obtaining multiplica- tive estimates of the Shannon entropy of classical ...
The key idea of the quantum algorithms is to extend block-encoding from unitary operators in previous work to quantum states (i.e., density operators), ...
We work with the quantum purified query access model, which can handle both classical probability distributions and mixed quantum states, and is the most ...
Nov 22, 2021 · Entropy is a fundamental property of both classical and quantum systems, spanning myriad theoretical and practical applications in physics ...
Duration: 25:26
Posted: Apr 4, 2022
Posted: Apr 4, 2022
Duration: 1:10:27
Posted: Nov 14, 2021
Posted: Nov 14, 2021
Sublinear quantum algorithms for estimating von Neumann entropy. Entropy is a fundamental property of both classical and quantum systems, spanning myriad ...
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Apr 14, 2023 · This paper presents quantum entropy estimation algorithms with a cost of copies scaling polynomially in the rank of the state. In contrast to ...
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Quantum algorithm for estimating α -Renyi entropies of quantum states · Sublinear quantum algorithms for estimating von Neumann entropy · Spectral sparsification ...