Weighted Feedback-Based Quantum Algorithm for Excited States Calculation

Salahuddin Abdul Rahman; Özkan Karabacak; Rafal Wisniewski

doi:10.1109/QCE60285.2024.00029

Weighted Feedback-Based Quantum Algorithm for Excited States Calculation

Salahuddin Abdul Rahman, Özkan Karabacak, Rafal Wisniewski

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

Abstract

Drawing inspiration from the Lyapunov control technique for quantum systems, feedback-based quantum algorithms have been proposed for calculating the ground states of Hamiltonians. In this work, we consider extending these
algorithms to tackle calculating excited states. Inspired by the weighted subspace-search variational quantum eigensolver algorithm, we propose a novel weighted feedback-based quantum algorithm for excited state calculation. We show that depending on how we design the weights and the feedback law, we can prepare the pth excited state or lowest energy states up to the pth excited state. Through an application in quantum chemistry, we show the effectiveness of the proposed algorithm, evaluating its efficacy via numerical simulations.

Originalsprog	Engelsk
Titel	2024 IEEE International Conference on Quantum Computing and Engineering (QCE)
Antal sider	7
Forlag	IEEE (Institute of Electrical and Electronics Engineers)
Publikationsdato	sep. 2024
Sider	169-175
Artikelnummer	10821345
ISBN (Trykt)	979-8-3315-4138-5
ISBN (Elektronisk)	979-8-3315-4137-8
DOI	https://doi.org/10.1109/QCE60285.2024.00029
Status	Udgivet - sep. 2024
Begivenhed	IEEE Quantum Week — the IEEE International Conference on Quantum Computing and Engineering (QCE) - Canada, Montréal, Canada Varighed: 15 sep. 2024 → 20 sep. 2024 https://qce.quantum.ieee.org/2024/

Konference

Konference	IEEE Quantum Week — the IEEE International Conference on Quantum Computing and Engineering (QCE)
Lokation	Canada
Land/Område	Canada
By	Montréal
Periode	15/09/2024 → 20/09/2024
Internetadresse	https://qce.quantum.ieee.org/2024/

Adgang til dokumentet

10.1109/QCE60285.2024.00029

https://arxiv.org/pdf/2404.19386Licens: CC BY 4.0

AUB Link

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Citationsformater

@inproceedings{78b30ed2471a461cbcb2af2da9a8405d,

title = "Weighted Feedback-Based Quantum Algorithm for Excited States Calculation",

abstract = "Drawing inspiration from the Lyapunov control technique for quantum systems, feedback-based quantum algorithms have been proposed for calculating the ground states of Hamiltonians. In this work, we consider extending thesealgorithms to tackle calculating excited states. Inspired by the weighted subspace-search variational quantum eigensolver algorithm, we propose a novel weighted feedback-based quantum algorithm for excited state calculation. We show that depending on how we design the weights and the feedback law, we can prepare the pth excited state or lowest energy states up to the pth excited state. Through an application in quantum chemistry, we show the effectiveness of the proposed algorithm, evaluating its efficacy via numerical simulations.",

author = "Rahman, {Salahuddin Abdul} and {\"O}zkan Karabacak and Rafal Wisniewski",

year = "2024",

month = sep,

doi = "10.1109/QCE60285.2024.00029",

language = "English",

isbn = "979-8-3315-4138-5",

pages = "169--175",

booktitle = "2024 IEEE International Conference on Quantum Computing and Engineering (QCE)",

publisher = "IEEE (Institute of Electrical and Electronics Engineers)",

address = "United States",

note = "IEEE Quantum Week — the IEEE International Conference on Quantum Computing and Engineering (QCE) ; Conference date: 15-09-2024 Through 20-09-2024",

url = "https://qce.quantum.ieee.org/2024/",

}

Rahman, SA, Karabacak, Ö & Wisniewski, R 2024, Weighted Feedback-Based Quantum Algorithm for Excited States Calculation. i 2024 IEEE International Conference on Quantum Computing and Engineering (QCE)., 10821345, IEEE (Institute of Electrical and Electronics Engineers), s. 169-175, IEEE Quantum Week — the IEEE International Conference on Quantum Computing and Engineering (QCE), Montréal, Canada, 15/09/2024. https://doi.org/10.1109/QCE60285.2024.00029

Weighted Feedback-Based Quantum Algorithm for Excited States Calculation. / Rahman, Salahuddin Abdul; Karabacak, Özkan; Wisniewski, Rafal.
2024 IEEE International Conference on Quantum Computing and Engineering (QCE). IEEE (Institute of Electrical and Electronics Engineers), 2024. s. 169-175 10821345.

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

TY - GEN

T1 - Weighted Feedback-Based Quantum Algorithm for Excited States Calculation

AU - Rahman, Salahuddin Abdul

AU - Karabacak, Özkan

AU - Wisniewski, Rafal

PY - 2024/9

Y1 - 2024/9

N2 - Drawing inspiration from the Lyapunov control technique for quantum systems, feedback-based quantum algorithms have been proposed for calculating the ground states of Hamiltonians. In this work, we consider extending thesealgorithms to tackle calculating excited states. Inspired by the weighted subspace-search variational quantum eigensolver algorithm, we propose a novel weighted feedback-based quantum algorithm for excited state calculation. We show that depending on how we design the weights and the feedback law, we can prepare the pth excited state or lowest energy states up to the pth excited state. Through an application in quantum chemistry, we show the effectiveness of the proposed algorithm, evaluating its efficacy via numerical simulations.

AB - Drawing inspiration from the Lyapunov control technique for quantum systems, feedback-based quantum algorithms have been proposed for calculating the ground states of Hamiltonians. In this work, we consider extending thesealgorithms to tackle calculating excited states. Inspired by the weighted subspace-search variational quantum eigensolver algorithm, we propose a novel weighted feedback-based quantum algorithm for excited state calculation. We show that depending on how we design the weights and the feedback law, we can prepare the pth excited state or lowest energy states up to the pth excited state. Through an application in quantum chemistry, we show the effectiveness of the proposed algorithm, evaluating its efficacy via numerical simulations.

U2 - 10.1109/QCE60285.2024.00029

DO - 10.1109/QCE60285.2024.00029

M3 - Article in proceeding

SN - 979-8-3315-4138-5

SP - 169

EP - 175

BT - 2024 IEEE International Conference on Quantum Computing and Engineering (QCE)

PB - IEEE (Institute of Electrical and Electronics Engineers)

T2 - IEEE Quantum Week — the IEEE International Conference on Quantum Computing and Engineering (QCE)

Y2 - 15 September 2024 through 20 September 2024

ER -

Weighted Feedback-Based Quantum Algorithm for Excited States Calculation

Abstract

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