SciPost Phys. 12, 161 (2022) ·
published 16 May 2022
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· pdf
A demonstration of the theoretically predicted non-abelian properties of
Majorana bound states (MBSs) would constitute a definite proof of a topological
superconducting phase. Alongside the nontrivial braiding statistics, the fusion
rules are fundamental properties of all non-abelian anyons. In this work, we
propose and theoretically analyze a way to demonstrate MBS fusion rules in a
Majorana single-charge transistor. Our proposal reduces both the number of
operations and the device complexity compared to previous designs. Furthermore,
we show that the fusion protocol can be adapted to pump a quantized amount of
charge in each cycle, providing a straightforward method to detect fusion rules
through a DC current measurement. We analyze the protocol numerically and
analytically and show that the required operational timescales and expected
measurement signals are within experimental capabilities in various
superconductor-semiconductor hybrid platforms.
