Quantum Computing with Majorana Kramers Pairs

Abstract

We propose a universal gate set acting on a qubit formed by the degenerate ground states of a Coulomb-blockaded time-reversal invariant topological superconductor island with spatially separated Majorana Kramers pairs: the "Majorana Kramers Qubit". All gate operations are implemented by coupling the Majorana Kramers pairs to conventional superconducting leads. Interestingly, in such an all-superconducting device, the energy gap of the leads provides another layer of protection from quasiparticle poisoning independent of the island charging energy. Moreover, the absence of strong magnetic fields - which typically reduce the superconducting gap size of the island - suggests a unique robustness of our qubit to quasiparticle poisoning due to thermal excitations. Consequently, the Majorana Kramers Qubit should benefit from prolonged coherence times and may provide an alternative route to a Majorana-based quantum computer.

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Cited by in corpus (21)

• Majorana Kramers pairs in higher-order topological insulators
• Braiding Majorana corner modes in a second-order topological superconductor
• Measurement-only quantum computation with Majorana corner modes
• Charge-4e supercurrent in a two-dimensional InAs-Al superconductor-semiconductor heterostructure
• Sublattice-enriched tunability of bound states in second-order topological insulators and superconductors
• Catalogue of Andreev spectra and Josephson effects in structures with time-reversal-invariant topological superconductor wires
• Scalable Fermionic Error Correction in Majorana Surface Codes
• Supercurrent parity-meter in a nanowire Cooper-pair transistor
• Dissipationless Nonlinearity in Quantum Material Josephson Diodes
• Time-reversal-invariant topological superconductivity
• Topological Kondo effect with spinful Majorana fermions
• Braiding Induced by Finite-Size Effect in One-Dimensional Topological Superconductors
• Exact analytical solution of a time-reversal-invariant topological superconducting wire
• Physics of the Majorana-superconducting qubit hybrids
• Unified model for non-Abelian braiding of Majorana and Dirac fermion zero modes
• Interaction- and phonon-induced topological phase transitions in double helical liquids
• Fermionic Quantum Simulation on Andreev Bound State Superlattices
• Generalized Majorana edge modes in a number-conserving periodically driven $p$-wave superconductor
• Fusion Rules of Majorana-Kramer-Pairs in Time-Reversal-Invariant Topological Superconductors
• Engineering Majorana Kramers Pairs In Synthetic High Spin Chern Insulators
• Buried Dirac points in quantum spin Hall insulators: Implications for Majorana Kramers pair-based quantum computing