GEOMETRIC PHASE AND TOPOLOGY QUANTUM GATES USING PARALLEL TRANSPORTATION

被引：0

作者：

Gao, Yu-Mei ^{[1
,2
]}

Zhang, Xin-Ding ^{[1
]}

Hu, Lian ^{[1
]}

机构：

[1] S China Normal Univ, Sch Phys & Telecommun Engn, Inst Condensed Matter Phys, Guangzhou, Guangdong, Peoples R China

[2] Univ Elect Sci & Technol China, Zhongshan Inst, Dept Elect Engn, Zhongshan, Peoples R China

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2008年 / 5卷 / 05期

关键词：

Geometric phase; quantum computation; topological phase; fault-tolerant quantum gates; parallel transportation;

D O I：

10.1142/S0219887808003041

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a novel evolution method to obtain pure geometric phase with orthogonal superposed initial state method (OGSM). As examples we illustrate in detail the geometric evolution both in NMR and superconducting Josephson junction systems, which may be further designed to construct fault-tolerant geometric quantum gates. In the end we also propose a simple way to construct topological quantum gates based on OGSM.

引用

页码：789 / 798

页数：10

共 50 条

[31] Fuzzy Topology and Geometric Formalism of Quantum Mechanics
Mayburov, S.
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2015, 54 (12) : 4272 - 4282
[32] A parallel geometric multigrid method for adaptive topology optimization
David Herrero-Pérez
Sebastián Ginés Picó-Vicente
Structural and Multidisciplinary Optimization, 2023, 66
[33] A parallel geometric multigrid method for adaptive topology optimization
Herrero-Perez, David
Pico-Vicente, Sebastian Gines
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2023, 66 (10)
[34] Universal holonomic single quantum gates over a geometric spin with phase-modulated polarized light
Ishida, Naoki
Nakamura, Takaaki
Tanaka, Touta
Mishima, Shota
Kano, Hiroki
Kuroiwa, Ryota
Sekiguchi, Yuhei
Kosaka, Hideo
OPTICS LETTERS, 2018, 43 (10) : 2380 - 2383
[35] All-optical quantum computing using cubic phase gates
Budinger, Niklas
Furusawa, Akira
van Loock, Peter
PHYSICAL REVIEW RESEARCH, 2024, 6 (02):
[36] Universal quantum gates based on both geometric and dynamic phases in quantum dots
Yang, KY
Zhu, SL
Wang, ZD
CHINESE PHYSICS LETTERS, 2003, 20 (07) : 991 - 994
[37] Implementation of adiabatic geometric gates with superconducting phase qubits
Peng, Z. H.
Chu, H. F.
Wang, Z. D.
Zheng, D. N.
JOURNAL OF PHYSICS-CONDENSED MATTER, 2009, 21 (04)
[38] Parallel Transport Quantum Logic Gates with Trapped Ions
de Clercq, Ludwig E.
Lo, Hsiang-Yu
Marinelli, Matteo
Nadlinger, David
Oswald, Robin
Negnevitsky, Vlad
Kienzler, Daniel
Keitch, Ben
Home, Jonathan P.
PHYSICAL REVIEW LETTERS, 2016, 116 (08)
[39] Plug-and-Play Approach to Nonadiabatic Geometric Quantum Gates
Liu, Bao-Jie
Song, Xue-Ke
Xue, Zheng-Yuan
Wang, Xin
Yung, Man-Hong
PHYSICAL REVIEW LETTERS, 2019, 123 (10)
[40] Implementation of universal quantum gates based on nonadiabatic geometric phases
Zhu, SL
Wang, ZD
PHYSICAL REVIEW LETTERS, 2002, 89 (09)

← 1 2 3 4 5 →