Towards an optimal swap gate

被引：2

作者：

Wilmott, Colin ^{[1
,2
]}

Wild, Peter R. ^{[3
]}

机构：

[1] Nottingham Trent Univ, Dept Math & Phys, Nottingham NG11 8NS, England

[2] Masaryk Univ, Fac Informat, Brno 60200, Czech Republic

[3] Univ London, Dept Math, Egham TW20 0EX, Surrey, England

来源：

QUANTUM INFORMATION PROCESSING | 2014年 / 13卷 / 06期

关键词：

Quantum computation; Elementary quantum gates; Modular binomial coefficients; Recurrence relations; Generating functions;

D O I：

10.1007/s11128-014-0741-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 qudits for prime. We also investigate the case for 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.

引用

页码：1467 / 1482

页数：16

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