Device-independent randomness certification using multiple copies of entangled states

Mahato, Shyam Sundar and Pan, Alok Kumar (2022) Device-independent randomness certification using multiple copies of entangled states. Physics Letters, Section A: General, Atomic and Solid State Physics, 456 (128534). pp. 1-8. ISSN 0375-9601

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Abstract

We demonstrate to what extent many copies of maximally entangled two-qubit states enable for generating a greater amount of certified randomness than that can be certified from a single copy. Although it appears that greater the dimension of the system implies a higher amount of randomness, the non-triviality lies in the device-independent simultaneous certification of generated randomness from many copies of entangled states. This is because, most of the two-outcome Bell inequalities (viz., Clauser-Horne-Shimony-Holt, Elegant, or Chain Bell inequality) are optimized for a single copy of two-qubit entangled state. Thus, such Bell inequalities can certify neither many copies of entangled states nor a higher amount of randomness. In this work, we suitably invoke a family of n-settings Bell inequalities which is optimized for ⌊n/2⌋ copies of maximally entangled two-qubit states, thereby, possess the ability to certify more randomness from many copies of two-qubit entangled state. © 2022 Elsevier B.V.

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IITH Creators:

IITH Creators	ORCiD
Pan, Alok Kumar	https://orcid.org/0000-0002-4269-3971

Item Type:

Article

Additional Information:

We thank Souradeep Sasmal for his immense help in writing this paper. SSM acknowledges the UGC fellowship [Fellowship No. 16-9(June 2018)/2019(NET/CSIR) ]. AKP acknowledges the support from the project DST/ICPS/QuST/Theme 1/2019/4 .

Uncontrolled Keywords:

Bell inequality; Certified randomness; Quantum nonlocality

Subjects:

Physics

Divisions:

Department of Physics

Depositing User:

. LibTrainee 2021

Date Deposited:

23 Nov 2022 11:40

Last Modified:

23 Nov 2022 11:40