Finite-Time Braiding Dynamics within Topological Nanowire Qubits

• URL: http://arxiv.org/abs/2603.14064v1
• Date: Sat, 14 Mar 2026 18:09:19 GMT
• Title: Finite-Time Braiding Dynamics within Topological Nanowire Qubits
• Abstract summary: We extend what is known in the adiabatic regime, providing time-dependent gate elements for further qubit and algorithm modeling efforts.<n>These contributions provide insight for realistic experimental setups in the next-generation of qubit implementation.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Topological Quantum Computing has largely evolved towards a paradigm of manipulating edge localized Majorana within $p$-wave topological superconducting nanowires. To bridge the gap between physical qubit systems and quantum algorithms, we perform a dynamical analysis to extend what is known in the adiabatic regime, providing time-dependent gate elements for further qubit and algorithm modeling efforts. Our analysis covers dynamical considerations for two methods of shuttling domain edge bound Majoranas in a single nanowire system which both function by applying spatiotemporally dependent onsite and hopping parameters within the system's Hamiltonian. We then complicate this model by converting it into the T-qubit to calculate the finite-time gate representation of the shuttling techniques used in a more practical setting. These contributions provide insight for realistic experimental setups in the next-generation of qubit implementation and will hopefully facilitate fault tolerant scalable systems and universal gate design.

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