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Paper · arXiv

Fourier Analysis of Parametrized Interactive Quantum Classifiers

Interactive Quantum Classifiers (IQCs) constitute a family of quantum machine learning models inspired by open quantum systems, in which the interaction between a target qubit and an environment is described by a Hamiltonian. Previous works introduced alternative Hamiltonian parameterizations and showed empirically that they can improve classification performance, but the role of these parameters in the resulting classifier remains poorly understood. In this work, we derive a closed-form expression for the reduced quantum channel generated by a parametrized IQC with a single target qubit. The analytical solution explicitly reveals how the Hamiltonian parameters control the constant, sine,...

AuthorsFábio Novaes, Fernando M. de Paula Neto, João V. M. Cardoso
Primary categoryquant-ph
Published16 September 2026
Last updated at source16 September 2026
quant-phcs.LG
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