Description and error analysis of quantum alghorithms in the projection evolution model -- the Deutsch algorithm case
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866918480201121792 |
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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 |