Braiding without Braiding: Teleportation-Based Quantum Information Processing with Majorana Zero Modes

Abstract

We present a new measurement-based scheme for performing braiding operations on Majorana zero modes and for detecting their non-Abelian statistics without moving or hybridizing them. In our scheme, the topological qubit encoded in any pair of well-separated Majorana zero modes in a mesoscopic superconductor island is read out from the transmission phase shift in electron teleportation through the island in the Coulomb blockade regime. We propose experimental setups to measure the teleportation phase shift via conductance in an electron interferometer or persistent current in a closed loop.

11 pages, 6 figures

References in corpus (8)

• Non-Abelian Anyons and Topological Quantum Computation
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• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
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• Shortcuts to nonabelian braiding

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• Anyons in Multichannel Kondo Systems
• Braiding by Majorana Tracking and Long-Range CNOT Gates with Color Codes
• Parity-to-charge conversion in Majorana qubit readout
• Majorana finite frequency nonequilibrium quantum noise
• Degeneracy lifting of Majorana bound states due to electron-phonon interactions
• Fusion rules in a Majorana single-charge transistor
• Gatemon qubit based on a thin InAs-Al hybrid nanowire
• Transmission phase read-out of a large quantum dot in a nanowire interferometer
• Engineering Yang-Lee anyons via Majorana bound states