Rescaling interactions for quantum control

A powerful control method in experimental quantum computing is the use of spin echoes, employed to select a desired term in the system’s internal Hamiltonian, while refocusing others. Here, we address a more general problem, describing a method to not only turn on and off particular interactions but...

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Main Authors: Bhole, G, Tsunoda, T, Leek, PJ, Jones, JA
Format: Journal article
Language:English
Published: American Physical Society 2020
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author Bhole, G
Tsunoda, T
Leek, PJ
Jones, JA
author_facet Bhole, G
Tsunoda, T
Leek, PJ
Jones, JA
author_sort Bhole, G
collection OXFORD
description A powerful control method in experimental quantum computing is the use of spin echoes, employed to select a desired term in the system’s internal Hamiltonian, while refocusing others. Here, we address a more general problem, describing a method to not only turn on and off particular interactions but also to rescale their strengths so that we can generate any desired effective internal Hamiltonian. We propose an algorithm based on linear programming for achieving time-optimal rescaling solutions in fully coupled systems of tens of qubits, which can be modified to obtain near-time-optimal solutions for rescaling systems with hundreds of qubits.
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spelling oxford-uuid:f71ffa4b-2c98-4686-a19c-a01f5328b7c22022-03-27T12:40:26ZRescaling interactions for quantum controlJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f71ffa4b-2c98-4686-a19c-a01f5328b7c2EnglishSymplectic ElementsAmerican Physical Society2020Bhole, GTsunoda, TLeek, PJJones, JAA powerful control method in experimental quantum computing is the use of spin echoes, employed to select a desired term in the system’s internal Hamiltonian, while refocusing others. Here, we address a more general problem, describing a method to not only turn on and off particular interactions but also to rescale their strengths so that we can generate any desired effective internal Hamiltonian. We propose an algorithm based on linear programming for achieving time-optimal rescaling solutions in fully coupled systems of tens of qubits, which can be modified to obtain near-time-optimal solutions for rescaling systems with hundreds of qubits.
spellingShingle Bhole, G
Tsunoda, T
Leek, PJ
Jones, JA
Rescaling interactions for quantum control
title Rescaling interactions for quantum control
title_full Rescaling interactions for quantum control
title_fullStr Rescaling interactions for quantum control
title_full_unstemmed Rescaling interactions for quantum control
title_short Rescaling interactions for quantum control
title_sort rescaling interactions for quantum control
work_keys_str_mv AT bholeg rescalinginteractionsforquantumcontrol
AT tsunodat rescalinginteractionsforquantumcontrol
AT leekpj rescalinginteractionsforquantumcontrol
AT jonesja rescalinginteractionsforquantumcontrol