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Lecture notes in computer science

The Fredholm Determinants Approach to the Computations of Quantum Entanglement

Roman Gielerak, Joanna Wiśniewska, Marek Sawerwain

Published Jan 1, 2025• 0 citations
Publisher
DOI
10.1007/978-3-031-85700-3_23

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This paper develops the quantum extension of Conservative Motion Theory (CMT) by introducing the notion of quantum reflection positivity for computational Hilbert kernels. We identify the quantum computational spectrum as a Fredholm-analytic invariant that governs reversibility, decoherence, and complexity growth in quantum processes. The spectral deformations of the determinant encode the transition from classical deterministic computation to quantum entanglement-driven evolution. This work forms the third component of the CMT V-series, establishing the analytic foundations for the quantum–computational sector of conservation.