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dc.contributor.authorLei, Ci
dc.contributor.authorVourdas, Apostolos
dc.date.accessioned2023-01-23T09:58:06Z
dc.date.accessioned2023-02-07T15:34:35Z
dc.date.available2023-01-23T09:58:06Z
dc.date.available2023-02-07T15:34:35Z
dc.date.issued2023-01
dc.identifier.citationLei C and Vourdas A (2023) Unitarily inequivalent local and global Fourier transforms in multipartite quantum systems. Quantum Information Processing. 22(1): 78.en_US
dc.identifier.urihttp://hdl.handle.net/10454/19316
dc.descriptionYesen_US
dc.description.abstractA multipartite system comprised of n subsystems, each of which is described with ‘local variables’ in Z(d) and with a d-dimensional Hilbert space H(d), is considered. Local Fourier transforms in each subsystem are defined and related phase space methods are discussed (displacement operators, Wigner and Weyl functions, etc). A holistic view of the same system might be more appropriate in the case of strong interactions, which uses ‘global variables’ in Z(dn) and a dn-dimensional Hilbert space H(dn). A global Fourier transform is then defined and related phase space methods are discussed. The local formalism is compared and contrasted with the global formalism. Depending on the values of d, n the local Fourier transform is unitarily inequivalent or unitarily equivalent to the global Fourier transform. Time evolution of the system in terms of both local and global variables, is discussed. The formalism can be useful in the general area of Fast Fourier transforms.en_US
dc.language.isoenen_US
dc.publisherSpringer
dc.rights© 2023 Springer. Reproduced in accordance with the publisher's self-archiving policy. The final publication is available at Springer via https://doi.org/10.1007/s11128-022-03820-2en_US
dc.subjectFinite quantum systemsen_US
dc.subjectLocal and global Fourier transformsen_US
dc.subjectMultipartite systemsen_US
dc.titleUnitarily inequivalent local and global Fourier transforms in multipartite quantum systemsen_US
dc.status.refereedYesen_US
dc.date.Accepted2022-12-28
dc.date.application2023-01-19
dc.typeArticleen_US
dc.type.versionPublished versionen_US
dc.identifier.doihttps://doi.org/10.1007/s11128-022-03820-2
dc.rights.licenseCC-BYen_US
dc.date.updated2023-01-23T09:58:08Z
refterms.dateFOA2023-02-07T15:35:08Z
dc.openaccess.statusopenAccessen_US


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