Experimental investigation of partially entangled states for device-independent randomness generation and self-testing protocols

Gómez, Santiago; Máttar, Alejandro; Machuca, I.; Gómez, Esteban S.; Cavalcanti, Daniel; Farías, Osvaldo Jiménez; Acín, Antonio; Lima, G.

doi:10.1103/physreva.99.032108

“…Certification of quantum nonlocality from experimental data is a challenging task in general. In a recent work, a genuine random number generation protocol based on quantum nonlocality was experimentally demonstrated 10 . Here, authors certified randomness from a physical system prepared in quantum states with concurrences C = 0.986, C = 0.835 and C = 0.582.…”

Section: Tilted Bell Inequalitymentioning

confidence: 99%

“…These inequalities are particularly useful as they are known to maximize the randomness that can be certified in a Bell scenario. For instance, a recent experiment using near-ideal two-qubit states failed to certify quantum nonlocality for a weakly entangled quantum systems 10 .…”

Section: Introductionmentioning

confidence: 99%

Optimal Strategy to Certify Quantum Nonlocality

Gómez

¹

,

Uzcátegui

²

,

Machuca

³

et al. 2021

Preprint

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0

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Certification of quantum nonlocality plays a central role in practical applications like device-independent quantum cryptography and random number generation protocols. These applications entail the challenging problem of certifying quantum nonlocality, something that is hard to achieve when the target quantum state is only weakly entangled, or when the source of errors is high, e.g. when photons propagate through the atmosphere or a long optical fiber. Here we introduce a technique to find a Bell inequality with the largest possible gap between the quantum prediction and the classical local hidden variable limit for a given set of measurement frequencies. Our method represent an efficient strategy to certify quantum nonlocal correlations from experimental data without requiring extra measurements, in the sense that there is no Bell inequality with a larger gap than the one provided. Furthermore, we also reduce the photodetector efficiency required to close the detection loophole. We illustrate our technique by improving the detection of quantum nonlocality from experimental data obtained with weakly entangled photons.

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“…For testing our method, we use the statistics recorded in Ref. 10 , where the authors aim to study randomness certification behavior and self-testing in a practical Bell scenario, considering five different partially entangled states (PES). The experiment (depicted in Fig.…”

Section: B Experimental Detailsmentioning

confidence: 99%

“…Figure 3. Experimental setup used in Ref 10. to implement randomness certification and self-testing using a tunable, high-quality source of polarization-entangled down-converted photons…”

mentioning

confidence: 99%

Optimal strategy to certify quantum nonlocality

Gómez¹,

Uzcategui²,

Machuca³

et al. 2021

Preprint

Self Cite

0

View full text Add to dashboard Cite

Certification of quantum nonlocality plays a central role in practical applications like device-independent quantum cryptography and random number generation protocols. These applications entail the challenging problem of certifying quantum nonlocality, something that is hard to achieve when the target quantum state is only weakly entangled, or when the source of errors is high, e.g. when photons propagate through the atmosphere or a long optical fiber. Here we introduce a technique to find a Bell inequality with the largest possible gap between the quantum prediction and the classical local hidden variable limit for a given set of measurement frequencies. Our method represent an efficient strategy to certify quantum nonlocal correlations from experimental data without requiring extra measurements, in the sense that there is no Bell inequality with a larger gap than the one provided. Furthermore, we also reduce the photodetector efficiency required to close the detection loophole. We illustrate our technique by improving the detection of quantum nonlocality from experimental data obtained with weakly entangled photons.

show abstract

“…Despite of the theoretical recipes, the relevant experimental demonstration is little to know. To date, only a few optical experiments have been implemented principally to self-test quantum states such as a Bell state distributed over 398 meters in a fully DI manner [28], partially entangled pairs of qubits [29][30][31], bipartite and tripartite qubit states [32,33], and two-qutrit entangled states [34]. All these demonstrations are only restricted to two photons system.…”

mentioning

confidence: 99%

Robust Self-Testing of Multiparticle Entanglement

Wu,

Zhao,

Gu

et al. 2021

Preprint

0

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Quantum self-testing is a device-independent way to certify quantum states and measurements using only the input-output statistics, with minimal assumptions about the quantum devices. Due to the high demand on tolerable noise, however, experimental self-testing was limited to two-photon systems. Here, we demonstrate the first robust self-testing for multi-particle quantum entanglement. We prepare two examples of four-photon graph states, the Greenberger-Horne-Zeilinger (GHZ) states with a fidelity of 0.957(2) and the linear cluster states with a fidelity of 0.945(2). Based on the observed input-output statistics, we certify the genuine four-photon entanglement and further estimate their qualities with respect to realistic noise in a device-independent manner.

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Experimental investigation of partially entangled states for device-independent randomness generation and self-testing protocols

Cited by 32 publications

References 33 publications

Optimal Strategy to Certify Quantum Nonlocality

Optimal Strategy to Certify Quantum Nonlocality

Optimal strategy to certify quantum nonlocality

Robust Self-Testing of Multiparticle Entanglement

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