Holonomic implementation of CNOT gate on topological Majorana qubits

TL;DR

This paper proposes a measurement-free, holonomic method to implement a protected CNOT gate on topological Majorana qubits by adiabatically tuning couplings, enhancing robustness for quantum computation.

Contribution

It introduces a novel holonomic control scheme for CNOT gates on Majorana qubits that does not rely on measurements, improving robustness and operational simplicity.

Findings

Achieves full entanglement through adiabatic tuning of Majorana couplings

Provides a measurement-free, robust CNOT implementation

Demonstrates insensitivity to small parameter variations

Abstract

The CNOT gate is a two-qubit gate which is essential for universal quantum computation. A well-established approach to implement it within Majorana-based qubits relies on subsequent measurement of (joint) Majorana parities. We propose an alternative scheme which operates a protected CNOT gate via the holonomic control of a handful of system parameters, without requiring any measurement. We show how the adiabatic tuning of pair-wise couplings between Majoranas can robustly lead to the full entanglement of two qubits, insensitive with respect to small variations in the control of the parameters.