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Main Authors: Seguinard, Alban Jean-Marie, Piveteau, Amélie, Mironowicz, Piotr, Bourennane, Mohamed
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2303.07460
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author Seguinard, Alban Jean-Marie
Piveteau, Amélie
Mironowicz, Piotr
Bourennane, Mohamed
author_facet Seguinard, Alban Jean-Marie
Piveteau, Amélie
Mironowicz, Piotr
Bourennane, Mohamed
contents One of the striking properties of quantum mechanics is the occurrence of the Bell-type non-locality. They are a fundamental feature of the theory that allows two parties that share an entangled quantum system to observe correlations stronger than possible in classical physics. In addition to their theoretical significance, non-local correlations have practical applications, such as device-independent randomness generation, providing private unpredictable numbers even when they are obtained using devices derived by an untrusted vendor. Thus, determining the quantity of certifiable randomness that can be produced using a specific set of non-local correlations is of significant interest. In this paper, we present an experimental realization of recent Bell-type operators designed to provide private random numbers that are secure against adversaries with quantum resources. We use semi-definite programming to provide lower bounds on the generated randomness in terms of both min-entropy and von Neumann entropy in a device-independent scenario. We compare experimental setups providing Bell violations close to the Tsirelson's bound with lower rates of events, with setups having slightly worse levels of violation but higher event rates. Our results demonstrate the first experiment that certifies close to two bits of randomness from binary measurements of two parties.
format Preprint
id arxiv_https___arxiv_org_abs_2303_07460
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Experimental certification of more than one bit of quantum randomness in the two inputs and two outputs scenario
Seguinard, Alban Jean-Marie
Piveteau, Amélie
Mironowicz, Piotr
Bourennane, Mohamed
Quantum Physics
One of the striking properties of quantum mechanics is the occurrence of the Bell-type non-locality. They are a fundamental feature of the theory that allows two parties that share an entangled quantum system to observe correlations stronger than possible in classical physics. In addition to their theoretical significance, non-local correlations have practical applications, such as device-independent randomness generation, providing private unpredictable numbers even when they are obtained using devices derived by an untrusted vendor. Thus, determining the quantity of certifiable randomness that can be produced using a specific set of non-local correlations is of significant interest. In this paper, we present an experimental realization of recent Bell-type operators designed to provide private random numbers that are secure against adversaries with quantum resources. We use semi-definite programming to provide lower bounds on the generated randomness in terms of both min-entropy and von Neumann entropy in a device-independent scenario. We compare experimental setups providing Bell violations close to the Tsirelson's bound with lower rates of events, with setups having slightly worse levels of violation but higher event rates. Our results demonstrate the first experiment that certifies close to two bits of randomness from binary measurements of two parties.
title Experimental certification of more than one bit of quantum randomness in the two inputs and two outputs scenario
topic Quantum Physics
url https://arxiv.org/abs/2303.07460