Exact zero modes and decoherence in systems of interacting Majorana fermions

Abstract

Majorana fermions often coexist with other low-energy fermionic degrees of freedom. In such situation, topological quantum computation requires the use of fermionic zero modes of a many-body system. We classify all such modes for interacting fermions and show how to select the mode that maximizes the decoherence time. We find that in a typical interacting system the maximal decoherence time is within one order of magnitude from the decoherence time of a qbit based on the local part of the fermion parity operator.

14 pages

References in corpus (8)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Majorana qubit decoherence by quasiparticle poisoning
• Number fluctuations of sparse quasiparticles in a superconductor
• Kinetics of non-equilibrium quasiparticle tunneling in superconducting charge qubits
• Decoherence of Majorana qubits by noisy gates
• Topological minigap in quasi-one-dimensional spin-orbit-coupled semiconductor Majorana wires
• Microsecond resolution of quasiparticle tunneling in the single-Cooper-pair-transistor

Cited by in corpus (12)

• Majorana bound states in magnetic skyrmions
• Majorana wavefunction oscillations, fermion parity switches, and disorder in Kitaev chains
• Many-body Majorana operators and the equivalence of parity sectors
• Multi-particle content of Majorana zero-modes in the interacting p-wave wire
• Topological phase diagrams of exactly solvable non-Hermitian interacting Kitaev chains
• Fidelity and visibility reduction in Majorana qubits by entanglement with environmental modes
• Nonequilibrium Andreev bound states population in short superconducting junctions coupled to a resonator
• Constrained thermalisation and topological superconductivity
• Even and odd normalized zero modes in random interacting Majorana models respecting the Parity $P$ and the Time-Reversal-Symmetry $T$
• Dynamical Phase Error in Interacting Topological Quantum Memories
• Construction of Many-Body-Localized Models where all the eigenstates are Matrix-Product-States
• Zero-energy quasiparticles in an interacting nanowire containing a topological Josephson junction