Effects of non-equilibrium noise on a quantum memory encoded in Majorana zero modes

Abstract

In order to increase the coherence time of topological quantum memories in systems with Majorana zero modes, it has recently been proposed to encode the logical qubit states in non-local Majorana operators which are immune to localized excitations involving the unpaired Majorana modes. In this encoding, a logical error only happens when the quasi-particles, subsequent to their excitation, travel a distance of the order of the spacing between the Majorana modes. Here, we study the decay time of a quantum memory encoded in a clean topological nanowire interacting with an environment with a particular emphasis on the propagation of the quasi-particles above the gap. We show that the non-local encoding does not provide a significantly longer coherence time than the local encoding. In particular, the characteristic speed of propagation is of the order of the Fermi velocity of the nanowire and not given by the much slower group velocity of quasi-particles which are excited just above the gap.

14 pages, 9 figures

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Cited by in corpus (18)

• Majorana braiding with thermal noise
• Topologically protected localised states in spin chains
• Majoranas in Noisy Kitaev Wires
• Fault-Tolerant Quantum Error Correction for non-Abelian Anyons
• Monte Carlo studies of the properties of the Majorana quantum error correction code: is self-correction possible during braiding?
• Effects of disorder on Coulomb-assisted braiding of Majorana zero modes
• Protocol Discovery for the Quantum Control of Majoranas by Differentiable Programming and Natural Evolution Strategies
• Microwave readout of Majorana qubits
• Interacting Symmetry-Protected Topological Phases Out of Equilibrium
• Diabatic errors in Majorana braiding with bosonic bath
• Exact zero modes and decoherence in systems of interacting Majorana fermions
• Extracting entangled qubits from Majorana fermions in quantum dot chains through the measurement of parity
• Constrained thermalisation and topological superconductivity
• Realizing Universal Majorana Fermionic Quantum Computation
• Dynamical Phase Error in Interacting Topological Quantum Memories
• Effects of dynamical noises on Majorana bound states
• Monte Carlo studies of modified scalable designs for quantum computation
• Decoherence of Majorana zero modes mediated by gapless fermions