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DOE OSTI · 2893548

Fusion dynamics of Majorana zero modes

Hodge, Themba [Univ. of Melbourne, Parkville, VIC (Australia)] (ORCID:0009000714967158)·Kieu, Tuan [Univ. of Illinois, Chicago, IL (United States)] (ORCID:0000000295651601)·Bedow, Jasmin [Univ. of Illinois, Chicago, IL (United States)] (ORCID:0000000220108567)·Mascot, Eric [Univ. of Melbourne, Parkville, VIC (Australia)] (ORCID:0000000330120874)·Morr, Dirk K. [Univ. of Illinois, Chicago, IL (United States)]·Rachel, Stephan [Univ. of Melbourne, Parkville, VIC (Australia)] (ORCID:0000000234552802)
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Abstract

Braiding and fusion of Majorana zero modes are key elements of any future topological Majorana-based quantum computer. In this article, we investigate the fusion dynamics of Majorana zero modes in the spinless Kitaev model, as well as in a spinful model describing magnet-superconductor hybrid structures. We consider various scenarios allowing us to reproduce the fusion rules of the Ising anyon model. Particular emphasis is given to the charge of the fermion obtained after fusing two Majorana zero modes: as long as it remains on the superconductor, charge quantization is absent. When moving the fermion to a nonsuperconducting region, such as a quantum dot, nearly quantized charge can be measured. Our findings confirm for both platforms that fusion dynamics of Majorana zero modes can indeed be used for the readout of Majorana qubits.

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75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITYMajorana fermionsTopological materialsTopological quantum computingTopological superconductors

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Hodge, Themba [Univ. of Melbourne, Parkville, VIC (Australia)] (ORCID:0009000714967158), Kieu, Tuan [Univ. of Illinois, Chicago, IL (United States)] (ORCID:0000000295651601), Bedow, Jasmin [Univ. of Illinois, Chicago, IL (United States)] (ORCID:0000000220108567), Mascot, Eric [Univ. of Melbourne, Parkville, VIC (Australia)] (ORCID:0000000330120874), Morr, Dirk K. [Univ. of Illinois, Chicago, IL (United States)], Rachel, Stephan [Univ. of Melbourne, Parkville, VIC (Australia)] (ORCID:0000000234552802). 2026-01-21. Fusion dynamics of Majorana zero modes. https://doi.org/10.1103/2qxk-wbs6

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