Unitary fractional-order derivative operators for quantum computation

Basit Öğe Kaydı
dc.authorscopusid57221078940
dc.authorscopusid26667543300
dc.contributor.authorAlagoz B.B.
dc.contributor.authorAlagoz S.
dc.date.accessioned2024-08-04T20:03:54Z
dc.date.available2024-08-04T20:03:54Z
dc.date.issued2021
dc.departmentİnönü Üniversitesien_US
dc.description.abstractAlong with recent progresses in quantum computation technologies, researchers have addressed practical computational supremacies of quantum computers. The research works in the quantum computation domain mainly focus on progressive quantum algorithms and circuits in order to cope with computationally expensive engineering problems. This study aims to introduce possible implications of fractional calculus in quantum computation practice. In this perspective, a unitary fractional-order derivative operator family, which can be implemented by using phase operators, is defined and their possible utilizations for modeling and controlling quantum circuits are discussed. Moreover, the study demonstrates that the fractional derivative order can be used for controlling Shannon entropy of measurement probability distribution of qubits. Operation modes of single-sided and double-sided quantum interference circuits are analyzed, and optimal design of quantum interference circuits to obtain target probability distributions is investigated by using a genetic algorithm. This groundwork is helpful to extend topics of fractional calculus to quantum fractional calculus. © 2022 Elsevier Inc. All rights reserved.en_US
dc.identifier.doi10.1016/B978-0-32-390090-4.00016-0
dc.identifier.endpage336en_US
dc.identifier.isbn9780323900904
dc.identifier.isbn9780323902045
dc.identifier.scopus2-s2.0-85129860530en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage301en_US
dc.identifier.urihttps://doi.org/10.1016/B978-0-32-390090-4.00016-0
dc.identifier.urihttps://hdl.handle.net/11616/92198
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofFractional-Order Design: Devices, Circuits, and Systemsen_US
dc.relation.publicationcategoryKitap Bölümü - Uluslararasıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractional calculusen_US
dc.subjectInformation entropyen_US
dc.subjectQuantum computationen_US
dc.subjectQuantum interference circuitsen_US
dc.subjectQuantum phase gatesen_US
dc.subjectUnitary fractional order operatoren_US
dc.titleUnitary fractional-order derivative operators for quantum computationen_US
dc.typeBook Chapteren_US

Dosyalar

Koleksiyon

Scopus İndeksli Yayınlar Koleksiyonu