Quaternionic description of semiconductor position-based qubits

Wojciech Nowakowski; Krzysztof Pomorski

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arXiv · 2506.16713

Quaternionic description of semiconductor position-based qubits

Wojciech Nowakowski·Krzysztof Pomorski

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Abstract

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.

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Wojciech Nowakowski, Krzysztof Pomorski. 2025-06-20. Quaternionic description of semiconductor position-based qubits. https://arxiv.org/abs/2506.16713

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