Semi-device independent random number expansion without entanglement

TL;DR

This paper introduces a semi-device independent quantum random number expansion protocol that guarantees randomness through 2-dimensional quantum witness violation without requiring entanglement, simplifying implementation.

Contribution

It presents a novel protocol for random number expansion that does not rely on entanglement and operates under a semi-device independent framework based on quantum witness violation.

Findings

Protocol is easier to implement than entanglement-based methods

Guarantees randomness through 2D quantum witness violation

Operates in a semi-device independent black-box scenario

Abstract

By testing the classical correlation violation between two systems, the random number can be expanded and certified without applying classical statistical method. In this work, we propose a new random number expansion protocol without entanglement, and the randomness can be guaranteed only by the 2-dimension quantum witness violation. Furthermore, we only assume that the dimensionality of the system used in the protocol has a tight bound, and the whole protocol can be regarded as a semi-device independent black-box scenario. Comparing with the device independent random number expansion protocol based on entanglement, our protocol is much easier to implement and test.