Description and error analysis of quantum alghorithms in the projection evolution model -- the Deutsch algorithm case
Quantum Physics
2026-05-05 v1
Abstract
This work demonstrates that the Deutsch algorithm can be effectively modelled using a two-level harmonic oscillator within the second quantization formalism. By adopting this framework, evolution operators are derived. We present a projection evolution model that accurately characterizes the physical state transformation within quantum gates. This approach provides a systematic method for finding evolution operators, enabling the complete description and prediction of state evolution - including projection errors - in quantum algorithms.
Cite
@article{arxiv.2605.02293,
title = {Description and error analysis of quantum alghorithms in the projection evolution model -- the Deutsch algorithm case},
author = {Krzysztof Lider and Marek Góźdź},
journal= {arXiv preprint arXiv:2605.02293},
year = {2026}
}