Decoherence dynamics of Majorana qubits under braiding operations
arXiv:1909.13056 · doi:10.1103/PhysRevB.101.195428
Abstract
We study the decoherence dynamics of Majorana qubit braiding operations in a topological superconducting chain (TSC) system, in which the braiding is performed by controlling the electron-chemical potentials of the TSCs and the couplings between them. By solving rigorously the Majorana qubit dynamics, we show how the Majorana qubit coherence is generated through bogoliubon correlations formed by exchanging Majorana zero modes (MZMs) between two TSCs in braiding operations. Using the exact master equation, we demonstrate how MZMs and also the bogoliubon correlations dissipate due to charge fluctuations of the controlling gates at both the zero and finite temperatures. As a result, Majorana qubit coherence and the fermion parity conservation cannot be immune from local perturbations during braiding operations.
arXiv comment6 pages, 3 figures, Supplementary materials
References in corpus (29)
- Fault-tolerant quantum computation by anyons
- Non-Abelian Anyons and Topological Quantum Computation
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Unpaired Majorana fermions in quantum wires
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Helical liquids and Majorana bound states in quantum wires
- A generic new platform for topological quantum computation using semiconductor heterostructures
- Non-abelian statistics of half-quantum vortices in p-wave superconductors
- Non-Abelian statistics and topological quantum information processing in 1D wire networks
- Exponential Protection of Zero Modes in Majorana Islands
- Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
- Milestones toward Majorana-based quantum computing
- Unconventional superconductivity on a topological insulator
- General non-Markovian dynamics of open quantum systems
- Flux-controlled quantum computation with Majorana fermions
- Coulomb-assisted braiding of Majorana fermions in a Josephson junction array
- Measurement-Only Topological Quantum Computation
- A non-Markovian decoherence theory for double dot charge qubit
- Controlling non-Abelian statistics of Majorana fermions on Majorana dimer lattices
- Failure of protection of Majorana based qubits against decoherence
- Universal quantum computation on a semiconductor quantum wire network
- Decay rates for topological memories encoded with Majorana fermions
- A nonequilibrium theory for transient transport dynamics in nanostructures via the Feynman-Vernon influence functional approach
- Non-adiabatic processes in Majorana qubit systems
- Topological Protection of Majorana Qubits
- Decoherence of Majorana qubits by noisy gates
- Dynamics of Majorana-based qubits operated with an array of tunable gates
- Exact master equation and decoherence dynamics of Majorana zero modes under the gate-induced charge fluctuation
- Master equation approach to transient quantum transport incorporating with initial correlations
Cited by in corpus (11)
- Dissipative topological systems
- Exact Master Equation for Quantum Brownian Motion with Generalization to Momentum-Dependent System-Environment Couplings
- Topological contextuality and anyonic statistics of photonic-encoded parafermions
- Combating quasiparticle poisoning with multiple Majorana fermions in a periodically-driven quantum wire
- Scalable quantum control and non-abelian anyon creation in the Kitaev honeycomb model
- Quantum transport theory of hybrid superconducting systems
- Erasure conversion in Majorana qubits via local quasiparticle detection
- Transport of Majorana Bound State in the presence of telegraph noise
- Generalized Majorana edge modes in a number-conserving periodically driven -wave superconductor
- Nonadiabatic braiding of Majorana modes
- Decoherence of Majorana zero modes mediated by gapless fermions