Push-pull optimization of quantum controls

Optimization of quantum controls to achieve a target process is centered around an objective function comparing the realized process with the target. We propose an objective function that incorporates not only the target operator but also a set of its orthogonal operators whose combined influence le...

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Hauptverfasser: Priya Batra, V. R. Krithika, T. S. Mahesh
Format: Artikel
Sprache:English
Veröffentlicht: American Physical Society 2020-03-01
Schriftenreihe:Physical Review Research
Online Zugang:http://doi.org/10.1103/PhysRevResearch.2.013314
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author Priya Batra
V. R. Krithika
T. S. Mahesh
author_facet Priya Batra
V. R. Krithika
T. S. Mahesh
author_sort Priya Batra
collection DOAJ
description Optimization of quantum controls to achieve a target process is centered around an objective function comparing the realized process with the target. We propose an objective function that incorporates not only the target operator but also a set of its orthogonal operators whose combined influence leads to an efficient exploration of the parameter space, faster convergence, and extraction of superior solutions. The push-pull optimization, as we call it, can be adopted in various quantum control scenarios. We describe adopting it for gradient based and variational-principle based approaches. Numerical analysis of quantum registers with up to seven qubits reveals significant benefits of the push-pull optimization. We describe applying the push-pull optimization to prepare a long-lived singlet order in a two-qubit system using NMR techniques.
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spelling doaj.art-db5571dac8f74e80ada8d30d0c23a96b2024-04-12T16:51:26ZengAmerican Physical SocietyPhysical Review Research2643-15642020-03-012101331410.1103/PhysRevResearch.2.013314Push-pull optimization of quantum controlsPriya BatraV. R. KrithikaT. S. MaheshOptimization of quantum controls to achieve a target process is centered around an objective function comparing the realized process with the target. We propose an objective function that incorporates not only the target operator but also a set of its orthogonal operators whose combined influence leads to an efficient exploration of the parameter space, faster convergence, and extraction of superior solutions. The push-pull optimization, as we call it, can be adopted in various quantum control scenarios. We describe adopting it for gradient based and variational-principle based approaches. Numerical analysis of quantum registers with up to seven qubits reveals significant benefits of the push-pull optimization. We describe applying the push-pull optimization to prepare a long-lived singlet order in a two-qubit system using NMR techniques.http://doi.org/10.1103/PhysRevResearch.2.013314
spellingShingle Priya Batra
V. R. Krithika
T. S. Mahesh
Push-pull optimization of quantum controls
Physical Review Research
title Push-pull optimization of quantum controls
title_full Push-pull optimization of quantum controls
title_fullStr Push-pull optimization of quantum controls
title_full_unstemmed Push-pull optimization of quantum controls
title_short Push-pull optimization of quantum controls
title_sort push pull optimization of quantum controls
url http://doi.org/10.1103/PhysRevResearch.2.013314
work_keys_str_mv AT priyabatra pushpulloptimizationofquantumcontrols
AT vrkrithika pushpulloptimizationofquantumcontrols
AT tsmahesh pushpulloptimizationofquantumcontrols