Measurement based Controlled Not gate for topological qubits in a Majorana fermion quantum-dot hybrid system

TL;DR

This paper presents a measurement-based scheme to implement a Controlled-Not gate for topological qubits encoded in Majorana fermions within a quantum-dot hybrid system, utilizing parity measurements and single-qubit gates.

Contribution

It introduces a novel measurement-based approach for realizing CNOT gates in topological qubits using quantum-dot-assisted parity measurements.

Findings

Successful proposal for CNOT gate implementation in topological qubits

Utilization of Aharonov-Casher effect for parity measurement

Potential for scalable topological quantum computing

Abstract

We propose a scheme to implement Controlled Not-gate for topological qubits in a quantum-dot-Majorana-fermion hybrid system. Quantum information is encoded on pairs of Majorana fermions, which live on the the interface between topologically trivial and nontrivial sections of a quantum nanowire deposited on an s-wave superconductor. A measurement-based two-qubit Controlled-Not gate is produced with the help of parity measurements assisted by the quantum-dot and followed by prescribed single-qubit gates. The parity measurement, on the quantum-dot and a topological qubit, is achieved by the Aharonov-Casher effect.