Quantum arithmetic operations based on quantum fourier transform on signed integers

dc.authoridSAHIN, Engin/0000-0002-8040-0519
dc.contributor.authorSahin, Engin
dc.date.accessioned2025-01-27T20:20:42Z
dc.date.available2025-01-27T20:20:42Z
dc.date.issued2020
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractThe quantum Fourier transform (QFT) brings efficiency in many respects, especially usage of resource, for most operations on quantum computers. In this study, the existing QFT-based and non-QFT-based quantum arithmetic operations are examined. The capabilities of QFT-based addition and multiplication are improved with some modifications. The proposed operations are compared with the nearest quantum arithmetic operations. Furthermore, novel QFT-based subtraction, division and exponentiation operations are presented. The proposed arithmetic operations can perform nonmodular operations on all signed numbers without any limitation by using less resources. In addition, novel quantum circuits of two's complement, absolute value and comparison operations are also presented by using the proposed QFT-based addition and subtraction operations.
dc.identifier.doi10.1142/S0219749920500355
dc.identifier.issn0219-7499
dc.identifier.issn1793-6918
dc.identifier.issue6
dc.identifier.urihttps://doi.org/10.1142/S0219749920500355
dc.identifier.urihttps://hdl.handle.net/20.500.12428/21789
dc.identifier.volume18
dc.identifier.wosWOS:000599925700009
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofInternational Journal of Quantum Information
dc.relation.publicationcategoryinfo:eu-repo/semantics/openAccess
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20250125
dc.subjectQuantum computing
dc.subjectquantum addition
dc.subjectquantum subtraction
dc.subjectquantum multiplication
dc.subjectquantum division
dc.subjectquantum comparison
dc.subjectquantum exponentiation
dc.titleQuantum arithmetic operations based on quantum fourier transform on signed integers
dc.typeArticle

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