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

共 50 条

[31] Implementation of a two-atom √swap gate in cavity QED
Liu Qi
Ye Liu
CHINESE PHYSICS LETTERS, 2007, 24 (03) : 599 - 601
[32] Realization of Quantum Swap Gate and Generation of Entangled Coherent States
Zhang, Ziqiu
Jiang, Xi
Tang, Shiqing
SYMMETRY-BASEL, 2022, 14 (09):
[33] Quantum Swap Gate with Molecular Ensembles via Cavity Quantum Electrodynamics
Liu Yan-Sheng
Liang Lin-Mei
CHINESE PHYSICS LETTERS, 2009, 26 (10)
[34] Linear optical implementation of an ancilla-free quantum SWAP gate
Wang, Hong-Fu
Shao, Xiao-Qiang
Zhao, Yong-Fang
Zhang, Shou
Yeon, Kyu-Hwang
PHYSICA SCRIPTA, 2010, 81 (01)
[35] Optimal capital structure with an equity-for-guarantee swap
Yang, Zhaojun
Zhang, Hai
ECONOMICS LETTERS, 2013, 118 (02) : 355 - 359
[36] Implementation of two-qubit reversible SWAP gate in Photonic crystal
Sarfaraj, Mir Nadim
Mukhopadhyay, Sourangshu
OPTICS COMMUNICATIONS, 2025, 579
[37] Fast SWAP gate by adiabatic passage -: art. no. 062309
Sangouard, N
Lacour, X
Guérin, S
Jauslin, HR
PHYSICAL REVIEW A, 2005, 72 (06):
[38] All-fiber SWAP-CNOT gate for optical vortices
Barshak, E. V.
Lapin, B. P.
Vikulin, D. V.
Alieva, S. S.
Alexeyev, C. N.
Yavorsky, M. A.
COMPUTER OPTICS, 2021, 45 (06) : 853 - +
[39] PASSIVE SWAP GATE DESIGNS FOR CONTIGUOUS DISK BUBBLE-DEVICES
JU, K
IEEE TRANSACTIONS ON MAGNETICS, 1982, 18 (06) : 1364 - 1366
[40] Dynamical regimes of a quantum SWAP gate beyond the Fermi golden rule
Dente, Axel D.
Bustos-Marun, Raul A.
Pastawski, Horacio M.
PHYSICAL REVIEW A, 2008, 78 (06):

← 1 2 3 4 5 →