Recommender system expedited quantum control optimization

Quantum control optimization algorithms are routinely used to synthesize optimal quantum gates or to realize efficient quantum state transfers. The computational resource required for the optimization is an essential consideration in order to scale toward quantum control of larger registers. Here, w...

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Main Authors: Priya Batra, M. Harshanth Ram, T.S. Mahesh
Format: Article
Language:English
Published: Elsevier 2023-02-01
Series:Physics Open
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S266603262200028X
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author Priya Batra
M. Harshanth Ram
T.S. Mahesh
author_facet Priya Batra
M. Harshanth Ram
T.S. Mahesh
author_sort Priya Batra
collection DOAJ
description Quantum control optimization algorithms are routinely used to synthesize optimal quantum gates or to realize efficient quantum state transfers. The computational resource required for the optimization is an essential consideration in order to scale toward quantum control of larger registers. Here, we propose and demonstrate the use of a machine learning method, specifically the recommender system (RS), to deal with the challenge of enhancing computational efficiency. Given a sparse database of a set of products and their customer ratings, RS is used to efficiently predict unknown ratings. In the quantum control problem, each iteration of a numerical optimization algorithm typically involves evaluating a large number of parameters, such as gradients or fidelities, which can be tabulated as a rating matrix. We establish that RS can rapidly and accurately predict elements of such a sparse rating matrix. Using this approach, we expedite a gradient ascent based quantum control optimization, namely GRAPE, and demonstrate the faster construction of two-qubit CNOT gate in registers with up to 8 qubits. We also describe and implement the enhancement of the computational speed of a hybrid algorithm involving simulated annealing as well as gradient ascent. Moreover, the faster construction of three-qubit Toffoli gates further confirmed the applicability of RS in larger registers.
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spelling doaj.art-4aaa754be6fd4cc99f458f9f9d777fd82023-02-12T04:15:34ZengElsevierPhysics Open2666-03262023-02-0114100127Recommender system expedited quantum control optimizationPriya Batra0M. Harshanth Ram1T.S. Mahesh2Corresponding author.; Department of Physics and NMR Research Center, Indian Institute of Science Education and Research, Pune, 411008, IndiaDepartment of Physics and NMR Research Center, Indian Institute of Science Education and Research, Pune, 411008, IndiaDepartment of Physics and NMR Research Center, Indian Institute of Science Education and Research, Pune, 411008, IndiaQuantum control optimization algorithms are routinely used to synthesize optimal quantum gates or to realize efficient quantum state transfers. The computational resource required for the optimization is an essential consideration in order to scale toward quantum control of larger registers. Here, we propose and demonstrate the use of a machine learning method, specifically the recommender system (RS), to deal with the challenge of enhancing computational efficiency. Given a sparse database of a set of products and their customer ratings, RS is used to efficiently predict unknown ratings. In the quantum control problem, each iteration of a numerical optimization algorithm typically involves evaluating a large number of parameters, such as gradients or fidelities, which can be tabulated as a rating matrix. We establish that RS can rapidly and accurately predict elements of such a sparse rating matrix. Using this approach, we expedite a gradient ascent based quantum control optimization, namely GRAPE, and demonstrate the faster construction of two-qubit CNOT gate in registers with up to 8 qubits. We also describe and implement the enhancement of the computational speed of a hybrid algorithm involving simulated annealing as well as gradient ascent. Moreover, the faster construction of three-qubit Toffoli gates further confirmed the applicability of RS in larger registers.http://www.sciencedirect.com/science/article/pii/S266603262200028XQuantum controlQuantum gatesMachine learningRecommender system
spellingShingle Priya Batra
M. Harshanth Ram
T.S. Mahesh
Recommender system expedited quantum control optimization
Physics Open
Quantum control
Quantum gates
Machine learning
Recommender system
title Recommender system expedited quantum control optimization
title_full Recommender system expedited quantum control optimization
title_fullStr Recommender system expedited quantum control optimization
title_full_unstemmed Recommender system expedited quantum control optimization
title_short Recommender system expedited quantum control optimization
title_sort recommender system expedited quantum control optimization
topic Quantum control
Quantum gates
Machine learning
Recommender system
url http://www.sciencedirect.com/science/article/pii/S266603262200028X
work_keys_str_mv AT priyabatra recommendersystemexpeditedquantumcontroloptimization
AT mharshanthram recommendersystemexpeditedquantumcontroloptimization
AT tsmahesh recommendersystemexpeditedquantumcontroloptimization