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TT: Fachverband Tiefe Temperaturen

TT 85: Topology: Majorana Physics II

TT 85.3: Talk

Friday, March 22, 2024, 10:15–10:30, H 3005

Exploiting the Dynamics of Majorana-Majorana Hybridisation — •Themba Hodge, Eric Mascot, Daniel Crawford, and Stephan Rachel — School of Physics, University of Melbourne, Parkville, Australia

Qubits built out of Majorana-Zero Modes (MZMs) have long been theorised as a potential pathway toward fault-tolerant topological quantum computation. However, almost unavoidable in these processes is the overlapping of the different Majorana wavefunctions that arise throughout the process. This leads to a qubit-error due to Majorana-Majorana hybridisation, changing the outcome of the computation. This work presents a method to track the dynamical evolution of the Majorana wavefunctions, allowing one to track transitions in the ground-state subspace and calculate time-dependent correlation functions that provide the output of quantum computations. This is compared to exact, time-dependent superconducting simulations utilising the method introduced in [1], to confirm the advantage of this approach to make accurate dynamical predictions without the need for full many-body calculations. We also show how Majorana-Majorana hybridisation enable arbitrary quantum gates, including the magic-gate.

[1] E. Mascot, T. Hodge, D. Crawford, J. Bedow, D. Morr, S. Rachel, Phys. Rev. Lett. 131 (2023) 176601

Keywords: Majorana; Braiding; Dynamics