Device-independent randomness certification using multiple copies of entangled states

• URL: http://arxiv.org/abs/2212.14341v1
• Date: Thu, 29 Dec 2022 15:15:15 GMT
• Title: Device-independent randomness certification using multiple copies of entangled states
• Authors: Shyam Sundar Mahato and A. K. Pan
• Abstract summary: We show that many copies of maximally entangled two-qubit states enable for generating a greater amount of randomness than that can be certified from a single copy. We suitably invoke a family of $n$-settings Bell inequalities which is optimized for $lfloor n/2 rfloor$ copies of maximally entangled two-qubit states.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 $\lfloor n/2 \rfloor$ copies of maximally entangled two-qubit states, thereby, possess the ability to certify more randomness from many copies of two-qubit entangled state.

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