Multi-level effects in quantum-dot based parity-to-charge conversion of Majorana box qubits

Abstract

Quantum-dot based parity-to-charge conversion is a promising method for reading out quantum information encoded nonlocally into pairs of Majorana zero modes. To obtain a sizable parity-to-charge visibility, it is crucial to tune the relative phase of the tunnel couplings between the dot and the Majorana modes appropriately. However, in the presence of multiple quasi-degenerate dot orbitals, it is in general not experimentally feasible to tune all couplings individually. This paper shows that such configurations could make it difficult to avoid a destructive multi-orbital interference effect that substantially reduces the read-out visibility. We analyze this effect using a Lindblad quantum master equation. This exposes how the experimentally relevant system parameters enhance or suppress the visibility when strong charging energy, measurement dissipation and, most importantly, multi-orbital interference is accounted for. In particular, we find that an intermediate-time readout could mitigate some of the interference-related visibility reductions affecting the stationary limit.

10 pages + 5 pages appendix/references, 9 figures

References in corpus (19)

• 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
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Single-shot read-out of an individual electron spin in a quantum dot
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Introduction to topological superconductivity and Majorana fermions
• Circuit Quantum Electrodynamics with a Spin Qubit
• Majorana qubit decoherence by quasiparticle poisoning
• Majorana box qubits
• Strong Coupling Cavity QED with Gate-Defined Double Quantum Dots Enabled by a High Impedance Resonator
• Strong tuning of Rashba spin orbit interaction in single InAs nanowires
• Roadmap to Majorana surface codes
• Parity independence of the zero-bias conductance peak in a nanowire based topological superconductor-quantum dot hybrid device
• A phenomenological position and energy resolving Lindblad approach to quantum kinetics
• Readout of Majorana Qubits
• Quantum-Dot Parity Effects in Trivial and Topological Josephson Junctions
• Parity-to-charge conversion in Majorana qubit readout
• Microwave readout of Majorana qubits

Cited by in corpus (7)

• Quantum transport through a quantum dot side-coupled to a Majorana bound state pair in the presence of electron-phonon interaction
• Demonstrating Majorana non-Abelian properties using fast adiabatic charge-transfer
• Detecting Majorana modes by readout of poisoning-induced parity flips
• Interference and parity blockade in transport through a Majorana box
• Subgap states in semiconductor-superconductor devices for quantum technologies: Andreev qubits and minimal Majorana chains
• Transport-based fusion that distinguishes between Majorana and Andreev bound states
• Parity readout in Majorana box qubits from the dispersive to the resonant regime