Certified Randomness from Remote State Preparation Dimension Witness

TL;DR

This paper introduces a semi-device-independent method using a remote state preparation dimension witness to certify and extract more randomness from Bell test data, advancing practical randomness generation.

Contribution

It proposes a novel remote state preparation dimension witness and a semi-device-independent model that enhances randomness certification beyond traditional Bell test methods.

Findings

More randomness can be extracted without Bell's theorem.

The new method is semi-device-independent, reducing device assumptions.

This approach advances practical applications of Bell tests in randomness generation.

Abstract

Randomness in Bell test data can be device-independently certified by Bell's theorem without placing assumptions about the experimental devices. The device-independent randomness has very demanding requirement about the experimental devices and relatively lower output randomness. With the same Bell test data we can extract substantially more randomness without using Bell's theorem. To achieve this goal, we introduce a remote state preparation dimension witness and a semi-device-independent randomness certification model which is based on it. This is one important step towards practical use of Bell test in randomness generation.