Provable DI-QRNG protocols based on self-testing methodologies in preparation and measure scenario

TL;DR

This paper introduces two device-independent quantum random number generator protocols utilizing self-testing methods based on CHSH and pseudo-telepathy games within the Preparation & Measure framework, enhancing quantum certification techniques.

Contribution

It presents a novel self-testing methodology derived from pseudo-telepathy games in the P extbar M framework and designs two DI-QRNG protocols based on these methods.

Findings

First protocol based on CHSH game self-test successfully certifies quantum randomness.

Second protocol introduces a new self-testing approach from pseudo-telepathy games.

Both protocols demonstrate effective device independence in quantum random number generation.

Abstract

We present two Device Independent Quantum Random Number Generator (DI-QRNG) protocols using two self-testing methodologies in Preparation \& Measure (P\&M) scenario. These two methodologies are the variants of two well-known non-local games, namely, CHSH and pseudo-telepathy games, in P\&M framework. We exploit them as distinguishers in black-box settings to differentiate the classical and the quantum paradigms and hence to certify the Device Independence. The first self-test was proposed by Tavakoli et al. (Phys. Rev. A, 2018). We show that this is actually a P\&M variant of the CHSH game. Then based on this self-test, we design our first DI-QRNG protocol. We also propose a new self-testing methodology, which is the first of its kind that is reducible from pseudo-telepathy game in P\&M framework. Based on this new self-test, we design our second DI-QRNG protocol.