Quaternionic description of semiconductor position-based qubits
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909654107291648 |
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| author | Nowakowski, Wojciech Pomorski, Krzysztof |
| author_facet | Nowakowski, Wojciech Pomorski, Krzysztof |
| contents | The quaternionic description of semiconductor single-electron devices is given in the single-electron regime. The conversion scheme of complex value Hamiltonian into a quaternion is formulated for the case of single-electron semiconductor qubit and many electrostatically interacting qubits. In particular, the quantum evolution operator is presented in quaternion form for the case of one and many electrostatically interacting quantum bodies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_16713 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quaternionic description of semiconductor position-based qubits Nowakowski, Wojciech Pomorski, Krzysztof Mesoscale and Nanoscale Physics The quaternionic description of semiconductor single-electron devices is given in the single-electron regime. The conversion scheme of complex value Hamiltonian into a quaternion is formulated for the case of single-electron semiconductor qubit and many electrostatically interacting qubits. In particular, the quantum evolution operator is presented in quaternion form for the case of one and many electrostatically interacting quantum bodies. |
| title | Quaternionic description of semiconductor position-based qubits |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2506.16713 |