Fault Tolerant Quantum Random Number Generator Certified by Majorana Fermions

TL;DR

This paper demonstrates that braiding Majorana fermions can be used to generate and certify genuine quantum randomness through Bell inequality violations, offering a robust method for cryptographic applications.

Contribution

It introduces a novel approach to produce certified random numbers using topological manipulation of Majorana fermions, overcoming previous limitations for universal quantum computation.

Findings

Majorana fermion braiding enables full quantum operations for randomness generation.

The method certifies genuine randomness via multipartite Bell inequality violations.

Provides a robust, fault-tolerant approach for cryptographic randomness generation.

Abstract

Braiding of Majorana fermions gives accurate topological quantum operations that are intrinsically robust to noise and imperfection, providing a natural method to realize fault-tolerant quantum information processing. Unfortunately, it is known that braiding of Majorana fermions is not sufficient for implementation of universal quantum computation. Here we show that topological manipulation of Majorana fermions provides the full set of operations required to generate random numbers by way of quantum mechanics and to certify its genuine randomness through violation of a multipartite Bell inequality. The result opens a new perspective to apply Majorana fermions for robust generation of certified random numbers, which has important applications in cryptography and other related areas.