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The Infinite-Dimensional Quantum Entropy: the Unified Entropy Case (2406.17133v1)
Published 24 Jun 2024 in quant-ph, cs.IT, and math.IT
Abstract: By a use of the Fredholm determinant theory, the unified quantum entropy notion has been extended to a case of infinite-dimensional systems. Some of the known (in the finite-dimensional case) basic properties of the introduced unified entropies have been extended to the case study. Certain numerical approaches for computing the proposed finite and infinite-dimensional entropies are being outlined as well.
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