Continuous-variable quantum approximate optimization on a programmable photonic quantum processor

Variational quantum algorithms (VQAs) provide a promising approach to achieving quantum advantage for practical problems on near-term noisy intermediate-scale quantum (NISQ) devices. Thus far, most studies on VQAs have focused on qubit-based systems, but the power of VQAs can be potentially boosted...

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Main Authors: Yutaro Enomoto, Keitaro Anai, Kenta Udagawa, Shuntaro Takeda
Format: Article
Language:English
Published: American Physical Society 2023-10-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.5.043005
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author Yutaro Enomoto
Keitaro Anai
Kenta Udagawa
Shuntaro Takeda
author_facet Yutaro Enomoto
Keitaro Anai
Kenta Udagawa
Shuntaro Takeda
author_sort Yutaro Enomoto
collection DOAJ
description Variational quantum algorithms (VQAs) provide a promising approach to achieving quantum advantage for practical problems on near-term noisy intermediate-scale quantum (NISQ) devices. Thus far, most studies on VQAs have focused on qubit-based systems, but the power of VQAs can be potentially boosted by exploiting infinite-dimensional continuous-variable (CV) systems. Here, we implement the CV version of one VQA, a quantum approximate optimization algorithm, by developing an automated collaborative computing system between a programmable photonic quantum computer and a classical computer. We experimentally demonstrate that this algorithm solves the minimization problem of simple continuous functions by implementing the quantum version of gradient descent to localize an initially broadly distributed wave function to the minimum. This method allows the execution of a practical CV quantum algorithm on a physical platform. Our work can be extended to the minimization of more general functions, providing an alternative to achieve the quantum advantage in practical problems.
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spelling doaj.art-4de613176620496b9a29f68d1258bb7c2024-04-12T17:34:36ZengAmerican Physical SocietyPhysical Review Research2643-15642023-10-015404300510.1103/PhysRevResearch.5.043005Continuous-variable quantum approximate optimization on a programmable photonic quantum processorYutaro EnomotoKeitaro AnaiKenta UdagawaShuntaro TakedaVariational quantum algorithms (VQAs) provide a promising approach to achieving quantum advantage for practical problems on near-term noisy intermediate-scale quantum (NISQ) devices. Thus far, most studies on VQAs have focused on qubit-based systems, but the power of VQAs can be potentially boosted by exploiting infinite-dimensional continuous-variable (CV) systems. Here, we implement the CV version of one VQA, a quantum approximate optimization algorithm, by developing an automated collaborative computing system between a programmable photonic quantum computer and a classical computer. We experimentally demonstrate that this algorithm solves the minimization problem of simple continuous functions by implementing the quantum version of gradient descent to localize an initially broadly distributed wave function to the minimum. This method allows the execution of a practical CV quantum algorithm on a physical platform. Our work can be extended to the minimization of more general functions, providing an alternative to achieve the quantum advantage in practical problems.http://doi.org/10.1103/PhysRevResearch.5.043005
spellingShingle Yutaro Enomoto
Keitaro Anai
Kenta Udagawa
Shuntaro Takeda
Continuous-variable quantum approximate optimization on a programmable photonic quantum processor
Physical Review Research
title Continuous-variable quantum approximate optimization on a programmable photonic quantum processor
title_full Continuous-variable quantum approximate optimization on a programmable photonic quantum processor
title_fullStr Continuous-variable quantum approximate optimization on a programmable photonic quantum processor
title_full_unstemmed Continuous-variable quantum approximate optimization on a programmable photonic quantum processor
title_short Continuous-variable quantum approximate optimization on a programmable photonic quantum processor
title_sort continuous variable quantum approximate optimization on a programmable photonic quantum processor
url http://doi.org/10.1103/PhysRevResearch.5.043005
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