Quantum Signal-Induced Heap Transform Based Realization of Multi-Qubit Operations

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dc.contributor.authorGrigoryan, Artyom
dc.contributor.authorGomez, Alex
dc.contributor.authorEspinoza, Isaac
dc.contributor.authorAgaian, Sos
dc.contributor.editorKais, Sabre
dc.contributor.editorSkala, Václav
dc.date.accessioned2025-10-08T15:13:08Z
dc.date.available2025-10-08T15:13:08Z
dc.date.issued2025
dc.description.abstract-translatedThe article presents a new approach to the decomposition of unitary operations by controlled rotations. A new method of quantum signal-induced heap transform based QR decomposition is described. This transform is an analogue of the discrete transform which is generated by a given signal and uses different paths of processing the data. It is shown that among such paths we can find paths that allow constructing efficient quantum circuits for implementing multiqubit unitary gates. The case of real unitary matrices is considered. The proposed approach is described in detail in examples and quantum circuits are presented for 2-qubit operations. The general case of 𝑟-qubit unitary operations, when 𝑟 ≥ 2, is considered similarly.en
dc.format4 s.cs
dc.identifier.doihttp://www.doi.org/10.24132/CSRN.2025-A47
dc.identifier.issn2464-4617
dc.identifier.issn2464-4625
dc.identifier.urihttp://hdl.handle.net/11025/62937
dc.language.isoenen
dc.publisherVaclav Skala - UNION Agencyen
dc.rights© Václav Skala - UNION Agencyen
dc.rights.accessopenAccessen
dc.subjectkvantový QR rozkladcs
dc.subjectkvantová haldová transformacecs
dc.subjectkvantová kosinová transformacecs
dc.subject.translatedquantum QR decompositionen
dc.subject.translatedquantum heap transformen
dc.subject.translatedquantum cosine transformen
dc.titleQuantum Signal-Induced Heap Transform Based Realization of Multi-Qubit Operationsen
dc.typekonferenční příspěvekcs
dc.typeconferenceObjecten
dc.type.statusPeer revieweden
dc.type.versionpublishedVersionen
local.files.count2*
local.files.size2818566*
local.has.filesyes*

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