Regarding the Maximal Qubit Violations of n-Locality in Star and Chain Networks

Doolittle, Brian; Chitambar, Eric

doi:10.48550/arxiv.2212.06915

Cited by 1 publication

(3 citation statements)

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“…( 37) and Eq. ( 38) [84]. Therefore, our VQO methods may be useful for other optimization problems in quantum networking.…”

Section: Discussionmentioning

confidence: 96%

“…(38). For a general discussion regarding the maximal qubit violation of n-locality in star and chain networks and the corresponding measurement strategies, please refer to reference [84]. In Appendix C we give give concrete examples relating the maximal n-local scores in Eq.…”

Section: E Maximal N-local Violationsmentioning

confidence: 99%

“…(37) and Eq. (38) in reference [84], thus our VQO framework can be used to obtain novel theoretical insights.…”

Section: B Unital Channelsmentioning

confidence: 99%

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Variational Quantum Optimization of Nonlocality in Noisy Quantum Networks

Doolittle

Bromley

Killoran

et al. 2023

IEEE Trans. Quantum Eng.

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The noise and complexity inherent to quantum communication networks leads to technical challenges in designing quantum network protocols using classical methods. We address this issue with a hybrid variational quantum optimization framework (VQO) that simulates quantum networks on quantum hardware and optimizes the simulation using differential programming. We maximize nonlocality in noisy quantum networks to showcase our VQO framework. Using a classical simulator we investigate the noise robustness of quantum nonlocality. Our VQO methods reproduce known results and uncover novel phenomena. We find that maximally entangled states maximize nonlocality in the presence of unital qubit channels, while nonmaximally entangled states can maximize nonlocality in the presence of nonunital qubit channels. Thus, we show VQO to be a practical design tool for quantum networks even when run on a classical simulator. Finally, using IBM quantum computers we demonstrate that our VQO framework can maximize nonlocality on noisy quantum hardware. In the long-term, our VQO techniques show promise of scaling beyond classical approaches and can be deployed on quantum network hardware to optimize network protocols against their inherent noise.

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“…( 37) and Eq. ( 38) [84]. Therefore, our VQO methods may be useful for other optimization problems in quantum networking.…”

Section: Discussionmentioning

confidence: 96%

Section: E Maximal N-local Violationsmentioning

confidence: 99%