Transport-based fusion that distinguishes between Majorana and Andreev bound states
arXiv:2309.11328 · doi:10.1103/PhysRevB.109.165404
Abstract
It has proven difficult to distinguish between topological Majorana bound states and nontopological Andreev bound states and to measure the unique properties of the former. In this work, we aim to alleviate this problem by proposing and theoretically analyzing a new type of fusion protocol based on transport measurements in a Majorana box coupled to normal leads. The protocol is based on switching between different nanowire pairs being tunnel coupled to one of the leads. For a Majorana system, this leads to switching between different states associated with parity blockade. The charge being transmitted at each switch provides a measurement of the Majorana fusion rules. Importantly, the result is different for a system with nontopological Andreev bound states. The proposed protocol only requires measuring a DC current combined with fast gate-control of the tunnel couplings.
10 pages, 7 figures
References in corpus (28)
- 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
- Flux-induced topological superconductivity in full-shell nanowires
- Braiding without Braiding: Teleportation-Based Quantum Information Processing with Majorana Zero Modes
- A perturbative nonequilibrium renormalization group method for dissipative quantum mechanics: Real-time RG in frequency space (RTRG-FS)
- Roadmap to Majorana surface codes
- Hunting for Majoranas
- Roadmap towards Majorana qubits and nonabelian physics in quantum dot-based minimal Kitaev chains
- Local and non-local quantum transport due to Andreev bound states in finite Rashba nanowires with superconducting and normal sections
- Readout of Majorana Qubits
- Fusion protocol for Majorana modes in coupled quantum dots
- Parity-to-charge conversion in Majorana qubit readout
- QmeQ 1.0: An open-source Python package for calculations of transport through quantum dot devices
- Fusion rules in a Majorana single-charge transistor
- Detecting Majorana modes by readout of poisoning-induced parity flips
- Interference and parity blockade in transport through a Majorana box
- Multi-level effects in quantum-dot based parity-to-charge conversion of Majorana box qubits