Robustness of quantum memories based on Majorana zero modes

Abstract

We analyze the rate at which quantum information encoded in zero-energy Majorana modes is lost in the presence of perturbations. We show that information can survive for times that scale exponentially with the size of the chain both in the presence of quenching and time-dependent quadratic dephasing perturbations, even when the latter have spectral components above the system's energy gap. The origin of the robust storage, namely the fact that a sudden quench affects in the same way both parity sectors of the original spectrum, is discussed, together with the memory performance at finite temperatures and in the presence of particle exchange with a bath.

Published version, typos corrected

References in corpus (8)

• Localization protected quantum order
• Majorana qubit decoherence by quasiparticle poisoning
• A no-go theorem for a two-dimensional self-correcting quantum memory based on stabilizer codes
• On thermalization in Kitaev's 2D model
• Dissipative Dynamics and Phase Transitions in Fermionic Systems
• Decoherence of Majorana qubits by noisy gates
• How long can a quantum memory withstand depolarizing noise?
• Self-correcting quantum memory with a boundary

Cited by in corpus (42)

• A Short Introduction to Topological Quantum Computation
• Uhlmann Phase as a Topological Measure for One-Dimensional Fermion Systems
• Diagnostics of mixed-state topological order and breakdown of quantum memory
• Observation of topological Uhlmann phases with superconducting qubits
• Classification of topological insulators and superconductors out of equilibrium
• Chiral Topological Superconductors Enhanced by Long-Range Interactions
• Optimal Control of Majorana Zero Modes
• Stretched exponential decay of Majorana edge modes in many-body localized Kitaev chains under dissipation
• Hypercontractivity of quasi-free quantum semigroups
• Braiding Majorana zero modes using quantum dots
• Dissipative Topological Phase Transition with Strong System-Environment Coupling
• Topological Heat Transport and Symmetry-Protected Boson Currents
• Symmetry-protected Topological Phases at Finite Temperature
• Majoranas in Noisy Kitaev Wires
• Enhancing correlation times for edge spins through dissipation
• Dynamics of quantum information in many-body localized systems
• Universal dynamical scaling of long-range topological superconductors
• Monte Carlo studies of the properties of the Majorana quantum error correction code: is self-correction possible during braiding?
• Classical simulation of fermionic linear optics augmented with noisy ancillas
• Exact ground states for interacting Kitaev chains
• Strong zero modes in a class of generalised Ising spin ladders with plaquette interactions
• Modeling noise and error correction for Majorana-based quantum computing
• Error generation and propagation in Majorana-based topological qubits
• Dephasing enhanced strong Majorana zero modes in 2D and 3D higher-order topological superconductors
• Quantum memories with zero-energy Majorana modes and experimental constraints
• A Perturbative Approach to Continuous-Time Quantum Error Correction
• Coexistence of Strong and Weak Majorana Zero Modes in Anisotropic XY Spin Chain with Second-Neighbor Interaction
• Non-Adiabatic Quantum Optimization for Crossing Quantum Phase Transitions
• Cluster-Based Haldane States in Spin-1/2 Cluster Chains
• Topological phases in spin-orbit coupled dipolar lattice bosons
• Harnessing symmetry-protected topological order for quantum memories
• Constrained thermalisation and topological superconductivity
• Frustration-free Hamiltonians supporting Majorana zero edge modes
• Anomalous relaxation and multiply time scales in the quantum $XY$ model with boundary dissipation
• Quantum gates by periodic driving
• Reentrant Topological Phase Transition in a Bridging Model between Kitaev and Haldane Chains
• Non-Markovianity and memory of the initial state
• Erasure conversion in Majorana qubits via local quasiparticle detection
• Applications of differential geometry and representation theory to description of quantum correlations
• Band twisting and resilience to disorder in long-range topological superconductors
• Memory-Critical Dynamical Buildup of Phonon-Dressed Majorana Fermions
• Decoherence of Majorana zero modes mediated by gapless fermions