Quaternionic description of semiconductor position-based qubits

2025/06/20 by Wojciech Nowakowski, Nowakowski, Wojciech, Krzysztof Pomorski +1
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #Mechanical and Optical Resonators #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum and electron transport phenomena

paper · pdf · doi:10.48550/arxiv.2506.16713

openalex publication_date 2025/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Electrostatically interacting Wannier qubits in curved space

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