Dynamical Phase Error in Interacting Topological Quantum Memories
arXiv:2101.00022 · doi:10.1103/PhysRevResearch.3.033105
Abstract
A local Hamiltonian with Topological Quantum Order (TQO) has a robust ground state degeneracy that makes it an excellent quantum memory candidate. This memory can be corrupted however if part of the state leaves the protected ground state manifold and returns later with a dynamically accrued phase error. Here we analyse how TQO suppresses this process and use this to quantify the degree to which spectral densities in different topological sectors are correlated. We provide numerical verification of our results by modelling an interacting p-wave superconducting wire.
arXiv commentAccepted Version. 10 pages (including references and appendix), 6 figures
References in corpus (67)
- Fault-tolerant quantum computation by anyons
- Non-Abelian Anyons and Topological Quantum Computation
- Anyons in an exactly solved model and beyond
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Unpaired Majorana fermions in quantum wires
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Helical liquids and Majorana bound states in quantum wires
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Topological quantum memory
- Non-Abelian statistics and topological quantum information processing in 1D wire networks
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Topological quantum chemistry
- Exponential Protection of Zero Modes in Majorana Islands
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Time-dependent variational principle for quantum lattices
- Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
- Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
- Time-evolution methods for matrix-product states
- Spectral Gap and Exponential Decay of Correlations
- Quantized Majorana conductance
- Chiral Majorana edge state in a quantum anomalous Hall insulator-superconductor structure
- Majorana Fermions in Semiconductor Nanowires: Fundamentals, Modeling, and Experiment
- Localization protected quantum order
- Quasi-adiabatic Continuation of Quantum States: The Stability of Topological Ground State Degeneracy and Emergent Gauge Invariance
- Evidence of topological superconductivity in planar Josephson junctions
- Topological quantum order: stability under local perturbations
- End states and subgap structure in proximity-coupled chains of magnetic adatoms
- Probing Atomic Structure and Majorana Wavefunctions in Mono-Atomic Fe-chains on Superconducting Pb-Surface
- Topological Superconductivity in a Phase-Controlled Josephson Junction
- Majorana qubit decoherence by quasiparticle poisoning
- Majorana edge states in interacting one-dimensional systems
- Quantum memories at finite temperature
- A short proof of stability of topological order under local perturbations
- Locality in Quantum and Markov Dynamics on Lattices and Networks
- Failure of protection of Majorana based qubits against decoherence
- Strong zero modes and eigenstate phase transitions in the XYZ/interacting Majorana chain
- Majorana fermion exchange in quasi-one-dimensional networks
- Stability of zero modes in parafermion chains
- Long coherence times for edge spins
- Non-adiabatic processes in Majorana qubit systems
- Dephasing of Majorana-based qubits
- Prethermal Strong Zero Modes and Topological Qubits
- Majorana braiding with thermal noise
- Boosting Majorana zero modes
- Robustness of Majorana edge modes and topological order -- exact results for the symmetric interacting Kitaev chain with disorder
- Many-body Majorana operators and the equivalence of parity sectors
- Majoranas in Noisy Kitaev Wires
- Majorana fermions in an out-of-equilibrium topological superconducting wire: an exact microscopic transport analysis of a p-wave open chain coupled to normal leads
- Parafermionic clock models and quantum resonance
- Multi-particle content of Majorana zero-modes in the interacting p-wave wire
- Lifetime of Majorana qubits in Rashba nanowires with non-uniform chemical potential
- Localization-enhanced and degraded topological-order in interacting p-wave wires
- Protocol Discovery for the Quantum Control of Majoranas by Differentiable Programming and Natural Evolution Strategies
- Study of the phase diagram of the Kitaev-Hubbard chain
- Error generation and propagation in Majorana-based topological qubits
- Effects of non-equilibrium noise on a quantum memory encoded in Majorana zero modes
- Stability of Gapped Ground State Phases of Spins and Fermions in One Dimension
- Effects of decoherence on diabatic errors in Majorana braiding
- Exact results for a clock-type model and some close relatives
- Quantum memories with zero-energy Majorana modes and experimental constraints
- Lieb-Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems
- Local Density Approximation for Almost-Bosonic Anyons
- Exact zero modes and decoherence in systems of interacting Majorana fermions
- Constrained thermalisation and topological superconductivity
- Constructing edge zero modes through domain wall angle conservation