Minimal circuit for a flux-controlled Majorana qubit in a quantum spin-Hall insulator

Abstract

We construct a minimal circuit, based on the top-transmon design, to rotate a qubit formed out of four Majorana zero-modes at the edge of a two-dimensional topological insulator. Unlike braiding operations, generic rotations have no topological protection, but they do allow for a full characterization of the coherence times of the Majorana qubit. The rotation is controlled by variation of the flux through a pair of split Josephson junctions in a Cooper pair box, without any need to adjust gate voltages. The Rabi oscillations of the Majorana qubit can be monitored via oscillations in the resonance frequency of the microwave cavity that encloses the Cooper pair box.

Contribution for the proceedings of the Nobel Symposium on topological insulators. 8 pages, 6 figures

References in corpus (14)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Charge insensitive qubit design derived from the Cooper pair box
• Induced Superconductivity in the Quantum Spin Hall Edge
• Majorana qubit decoherence by quasiparticle poisoning
• Anyonic interferometry without anyons: How a flux qubit can read out a topological qubit
• Universal quantum computation on a semiconductor quantum wire network
• Life after charge noise: recent results with transmon qubits
• Interface Between Topological and Superconducting Qubits
• Majorana qubit rotations in microwave cavities
• Microwave-controlled coupling of Majorana bound states
• Using hybrid topological-spin qubit systems for two-qubit-spin gates

Cited by in corpus (8)

• Search for non-Abelian Majorana braiding statistics in superconductors
• Yu-Shiba-Rusinov qubit
• Braiding higher-order Majorana corner states through their spin degree of freedom
• Detecting Majorana nonlocality using strongly coupled Majorana bound states
• Josephson junctions of Weyl semimetal ${\text{WTe}}_2$ induced by spontaneous nucleation of $\text{PdTe}$ superconductor
• Controlling properties of a hybrid Cooper pair box interacting with a nanomechanical resonator in the presence of Kerr nonlinearities and losses
• Interplay of quantum spin Hall effect and spontaneous time-reversal symmetry breaking in electron-hole bilayers II: Zero-field topological superconductivity
• Deterministic topological quantum gates for Majorana qubits without ancillary modes