Certified Randomness From Steering Using Sequential Measurements

TL;DR

This paper explores certifiable randomness generation using sequential measurements in a one-sided device-independent setting, providing theoretical bounds, a protocol for unbounded randomness, and numerical analysis for near-term quantum platforms.

Contribution

It introduces a new protocol for unbounded randomness certification in a one-sided device-independent scenario, adapting previous methods and analyzing practical implementation.

Findings

Theoretical bounds on certifiable randomness in the scenario.

A protocol enabling unbounded randomness certification.

Numerical results demonstrating feasibility on near-term quantum devices.

Abstract

The generation of certifiable randomness is one of the most promising applications of quantum technologies. Furthermore, the intrinsic non-locality of quantum correlations allow us to certify randomness in a device-independent way, i.e. one need not make assumptions about the devices used. Due to the work of Curchod et. al., a single entangled two-qubit pure state can be used to produce arbitrary amounts of certified randomness. However, the obtaining of this randomness is experimentally challenging as it requires a large number of measurements, both projective and general. Motivated by these difficulties in the device-independent setting, we instead consider the scenario of one-sided device independence where certain devices are trusted, and others not; a scenario motivated by asymmetric experimental set-ups such as ion-photon networks. We show how certain aspects of previous work can be adapted to this scenario and provide theoretical bounds on the amount of randomness which can be certified. Furthermore, we give a protocol for unbounded randomness certification in this scenario, and provide numerical results demonstrating the protocol in the ideal case. Finally, we numerically test the possibility of implementing this scheme on near-term quantum technologies, by considering the performance of the protocol on several physical platforms.