Wilmott, C and Wild, PR, 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: | Number Type 10.1007/s11128-014-0741-y DOI |
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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