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On universality of quantum fourier transformPublished in
2012
Volume: 29
Issue: 3
A methodology is presented to obtain the basis of qudits which are admissible to quantum Fourier transform (QFT) in the sense that the set of such kets are related by the QFT in the same way as the kets of the computational basis. We first study this method for qubits to characterize the ensemble that works for the Hadamard transformation (QFT for two dimension). In this regard we identify certain incompleteness in the result of Maitra and Parashar (Int. J. Quantum Inform. 4 (2006) 653). Next we characterize the ensemble of qutrits for which QFT is possible. Further, some theoretical results related to higher dimensions are also discussed. Considering the unitary matrix U n related to QFT, the issue boils down to the problem of characterizing matrices that commute with U n. © 2012 Chinese Physical Society and IOP Publishing Ltd.
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Content may be subject to copyright.This is an author-created, un-copyedited version of an article accepted for publication/published in Chinese Physics Let... ...This is an author-created, un-copyedited version of an article accepted for publication/published in Chinese Physics Letters. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/0256-307X/29/3/030303
About the journal
| Journal | Chinese Physics Letters |
|---|---|
| ISSN | 0256307X |
| Open Access | No |
Authors (1)
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