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Lecture notes in computer science

QFredDet — Software Library for Computing Entropy of Continuous Variable Quantum Systems Using Fredholm Determinants

Marek Sawerwain, Joanna Wiśniewska

Published Jan 1, 2026• 0 citations
Publisher
DOI
10.1007/978-3-032-29915-4_49

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Infinite-dimensional systems play an important role in the continuous-variable quantum computation model, which can compete with a more standard approach based on qubit and quantum circuit computation models. But, in many cases, the value of entropy unfortunately cannot be easily computed for states originating from an infinite-dimensional Hilbert space. Therefore, in this article, the unified quantum entropy (which extends the standard von Neumann entropy) notion is extended to the case of infinite-dimensional systems by using the Fredholm determinant theory. Some of the known (in the finite-dimensional case) basic properties of the introduced unified entropies were extended to this case study. Certain numerical examples for computing the proposed finite- and infinite-dimensional entropies are outlined as well, which allowed us to calculate the entropy values for infinite Hilbert spaces.