Design of a Majorana trijunction

Abstract

Braiding of Majorana states demonstrates their non-Abelian exchange statistics. One implementation of braiding requires control of the pairwise couplings between all Majorana states in a trijunction device. To have adiabaticity, a trijunction device requires the desired pair coupling to be sufficiently large and the undesired couplings to vanish. In this work, we design and simulate a trijunction device in a two-dimensional electron gas with a focus on the normal region that connects three Majorana states. We use an optimisation approach to find the operational regime of the device in a multi-dimensional voltage space. Using the optimization results, we simulate a braiding experiment by adiabatically coupling different pairs of Majorana states without closing the topological gap. We then evaluate the feasibility of braiding in a trijunction device for different shapes and disorder strengths.

References in corpus (8)

• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Majorana box qubits
• Parity qubits and poor man's Majorana bound states in double quantum dots
• Anyonic interferometry without anyons: How a flux qubit can read out a topological qubit
• Andreev rectifier: a nonlocal conductance signature of topological phase transitions
• Optimal Control of Majorana Zero Modes
• Protocol to identify a topological superconducting phase in a three-terminal device
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Cited by in corpus (4)

• Controlling Majorana hybridization in magnetic chain-superconductor systems
• Multiple Majorana bound states and their resilience against disorder in planar Josephson junctions
• Electrostatics in semiconducting devices I : The Pure Electrostatics Self Consistent Approximation
• Superconducting magnetoelectric effects in mesoscopic hybrid structures