Design of quantum optical experiments with logic artificial intelligence

Logic Artificial Intelligence (AI) is a subfield of AI where variables can take two defined arguments, True or False, and are arranged in clauses that follow the rules of formal logic. Several problems that span from physical systems to mathematical conjectures can be encoded into these clauses and...

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Main Authors: Alba Cervera-Lierta, Mario Krenn, Alán Aspuru-Guzik
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2022-10-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2022-10-13-836/pdf/
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author Alba Cervera-Lierta
Mario Krenn
Alán Aspuru-Guzik
author_facet Alba Cervera-Lierta
Mario Krenn
Alán Aspuru-Guzik
author_sort Alba Cervera-Lierta
collection DOAJ
description Logic Artificial Intelligence (AI) is a subfield of AI where variables can take two defined arguments, True or False, and are arranged in clauses that follow the rules of formal logic. Several problems that span from physical systems to mathematical conjectures can be encoded into these clauses and solved by checking their satisfiability (SAT). In contrast to machine learning approaches where the results can be approximations or local minima, Logic AI delivers formal and mathematically exact solutions to those problems. In this work, we propose the use of logic AI for the design of optical quantum experiments. We show how to map into a SAT problem the experimental preparation of an arbitrary quantum state and propose a logic-based algorithm, called Klaus, to find an interpretable representation of the photonic setup that generates it. We compare the performance of Klaus with the state-of-the-art algorithm for this purpose based on continuous optimization. We also combine both logic and numeric strategies to find that the use of logic AI significantly improves the resolution of this problem, paving the path to developing more formal-based approaches in the context of quantum physics experiments.
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spelling doaj.art-3113664b84fc44ce8621983339e8b5a42022-12-22T04:13:22ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2022-10-01683610.22331/q-2022-10-13-83610.22331/q-2022-10-13-836Design of quantum optical experiments with logic artificial intelligenceAlba Cervera-LiertaMario KrennAlán Aspuru-GuzikLogic Artificial Intelligence (AI) is a subfield of AI where variables can take two defined arguments, True or False, and are arranged in clauses that follow the rules of formal logic. Several problems that span from physical systems to mathematical conjectures can be encoded into these clauses and solved by checking their satisfiability (SAT). In contrast to machine learning approaches where the results can be approximations or local minima, Logic AI delivers formal and mathematically exact solutions to those problems. In this work, we propose the use of logic AI for the design of optical quantum experiments. We show how to map into a SAT problem the experimental preparation of an arbitrary quantum state and propose a logic-based algorithm, called Klaus, to find an interpretable representation of the photonic setup that generates it. We compare the performance of Klaus with the state-of-the-art algorithm for this purpose based on continuous optimization. We also combine both logic and numeric strategies to find that the use of logic AI significantly improves the resolution of this problem, paving the path to developing more formal-based approaches in the context of quantum physics experiments.https://quantum-journal.org/papers/q-2022-10-13-836/pdf/
spellingShingle Alba Cervera-Lierta
Mario Krenn
Alán Aspuru-Guzik
Design of quantum optical experiments with logic artificial intelligence
Quantum
title Design of quantum optical experiments with logic artificial intelligence
title_full Design of quantum optical experiments with logic artificial intelligence
title_fullStr Design of quantum optical experiments with logic artificial intelligence
title_full_unstemmed Design of quantum optical experiments with logic artificial intelligence
title_short Design of quantum optical experiments with logic artificial intelligence
title_sort design of quantum optical experiments with logic artificial intelligence
url https://quantum-journal.org/papers/q-2022-10-13-836/pdf/
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