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Bibliographic Details
Main Authors: Lider, Krzysztof, Góźdź, Marek
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.02293
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author Lider, Krzysztof
Góźdź, Marek
author_facet Lider, Krzysztof
Góźdź, Marek
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2605_02293
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Description and error analysis of quantum alghorithms in the projection evolution model -- the Deutsch algorithm case
Lider, Krzysztof
Góźdź, Marek
Quantum Physics
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.
title Description and error analysis of quantum alghorithms in the projection evolution model -- the Deutsch algorithm case
topic Quantum Physics
url https://arxiv.org/abs/2605.02293