Interference and parity blockade in transport through a Majorana box

Abstract

A Majorana box - two topological superconducting nanowires coupled via a trivial superconductor - is a building block in devices aiming to demonstrate nonabelian physics, as well as for topological quantum computer architectures. We theoretically investigate charge transport through a Majorana box and show that current can be blocked when two Majoranas couple to the same lead, fixing their parity. In direct analogy to Pauli spin blockade in spin qubits, this parity blockade can be used for fast and high-fidelity qubit initialization and readout, as well as for current-based measurements of decoherence times. Furthermore, we demonstrate that transport can distinguish between a clean Majorana box and a disordered box with additional unwanted Majorana or Andreev bound states.

4 pages, 3 figures + 6 pages supplementary

References in corpus (26)

• Non-Abelian Anyons and Topological Quantum Computation
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Introduction to topological superconductivity and Majorana fermions
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Scaling of Majorana Zero-Bias Conductance Peaks
• Transport spectroscopy of NS nanowire junctions with Majorana fermions
• Measurement-Only Topological Quantum Computation
• Majorana box qubits
• Topological Kondo effect with Majorana fermions
• Kinetic Equations for Transport Through Single-Molecule Transistors
• A perturbative nonequilibrium renormalization group method for dissipative quantum mechanics: Real-time RG in frequency space (RTRG-FS)
• Roadmap to Majorana surface codes
• Thermodynamics of Quantum Information Flows
• A phenomenological position and energy resolving Lindblad approach to quantum kinetics
• Local and non-local quantum transport due to Andreev bound states in finite Rashba nanowires with superconducting and normal sections
• Readout of Majorana Qubits
• Parity-to-charge conversion in Majorana qubit readout
• Non-Fermi liquid manifold in a Majorana device
• QmeQ 1.0: An open-source Python package for calculations of transport through quantum dot devices
• Dispersive readout of Majorana qubits
• Many-terminal Majorana island: from Topological to Multi-Channel Kondo Model
• Gauge Theories with Ultracold Atoms
• Multi-level effects in quantum-dot based parity-to-charge conversion of Majorana box qubits

Cited by in corpus (7)

• Detecting Majorana modes by readout of poisoning-induced parity flips
• Majorana modes in quantum dots coupled via a floating superconducting island
• Multiterminal transport spectroscopy of subgap states in Coulomb-blockaded superconductors
• Full counting statistics in a Majorana single-charge transistor
• Subgap states in semiconductor-superconductor devices for quantum technologies: Andreev qubits and minimal Majorana chains
• Controlling Majorana hybridization in magnetic chain-superconductor systems
• Transport-based fusion that distinguishes between Majorana and Andreev bound states