Time scales for charge-transfer based operations on Majorana systems

Abstract

In this article we analyze the efficiency of operations based on transferring charge from a quantum dot (QD) to two coupled topological superconductors, which can be used for performing nonabelian operations on Majorana bound states (MBSs). We develop a method which allows us to describe the full time-evolution of the system as the QD energy is manipulated. Using a full counting statistics analysis, we set bounds to the operation time scales. The lower bound depends on the superconducting phase difference due to a partial decoupling of the different MBSs parity sectors, while the upper bound is set by the tunneling of quasiparticles to the MBSs. Using realistic parameters, we find the existence of a regime where the operation can be carried out with a fidelity close to unity. Finally, we propose the use of a two operations protocol to quantify the effect of the dephasing and accumulated dynamical phases, demonstrating their absence for certain superconducting phase differences.

arXiv commentMain text: 5 pages, 4 figures (supplementary information: 6 pages and 3 figures)

References in corpus (22)

• Non-Abelian Anyons and Topological Quantum Computation
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• New directions in the pursuit of Majorana fermions in solid state systems
• Search for Majorana fermions in superconductors
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Exponential Protection of Zero Modes in Majorana Islands
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Introduction to topological superconductivity and Majorana fermions
• Quantized Majorana conductance
• Milestones toward Majorana-based quantum computing
• Scaling of Majorana Zero-Bias Conductance Peaks
• Flux-controlled quantum computation with Majorana fermions
• Josephson and Andreev transport through quantum dots
• Non-Abelian operations on Majorana fermions via single charge control
• Controlling non-Abelian statistics of Majorana fermions on Majorana dimer lattices
• Parity lifetime of bound states in a proximitized semiconductor nanowire
• Low-energy theory of transport in Majorana wire junctions
• Quench dynamics in superconducting nanojunctions: metastability and dynamical Yang-Lee zeros
• Andreev bound states formation and quasiparticle trapping in quench dynamics revealed by time-dependent counting statistics
• Dynamics of hybrid junctions of Majorana wires

Cited by in corpus (12)

• Majorana nanowires for topological quantum computation
• Roadmap towards Majorana qubits and nonabelian physics in quantum dot-based minimal Kitaev chains
• A many-body approach to transport in quantum systems: From the transient regime to the stationary state
• Fusion rules in a Majorana single-charge transistor
• Demonstrating Majorana non-Abelian properties using fast adiabatic charge-transfer
• Dynamical leakage of Majorana mode into side-attached quantum dot
• Quench dynamics of correlated quantum dot proximitized to superconducting lead
• Tomography of zero-energy end modes in topological superconducting wires
• Transient dynamics of a magnetic impurity coupled to superconducting electrodes: exact numerics versus perturbation theory
• Subgap states in semiconductor-superconductor devices for quantum technologies: Andreev qubits and minimal Majorana chains
• Transient effects in quantum dots contacted via topological superconductor
• Quench dynamics of Fano-like resonances in the presence of the on-dot superconducting pairing