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

Understand

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.