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Wilmott, C. and Wild, P.R., 2014. Towards an optimal swap gate. Quantum Information Processing, 13 (6), pp. 1467-1482. ISSN 1570-0755
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Abstract
We present a novel approach that generalizes the well known quantum SWAP gate to higher dimensions and construct a regular quantum gate composed entirely in terms of the generalized CNOT gate that cyclically permutes the states of d qudits for d prime. We also investigate the case for d other than prime. A key feature of the construction design relates to the periodicity evaluation for a family of linear recurrences which we achieve by exploiting generating functions and their factorization over the complex reals.
| Item Type: | Journal article | ||||
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| Alternative Title: | Towards an optimal generalized swap gate | ||||
| Publication Title: | Quantum Information Processing | ||||
| Creators: | Wilmott, C. and Wild, P.R. | ||||
| Publisher: | Springer | ||||
| Date: | 2014 | ||||
| Volume: | 13 | ||||
| Number: | 6 | ||||
| ISSN: | 1570-0755 | ||||
| Identifiers: |
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| Rights: | © 2014 Springer | ||||
| Divisions: | Schools > School of Science and Technology | ||||
| Record created by: | EPrints Services | ||||
| Date Added: | 09 Oct 2015 10:30 | ||||
| Last Modified: | 23 Aug 2016 09:10 | ||||
| URI: | https://irep.ntu.ac.uk/id/eprint/13878 |
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