Nonadiabatic geometric quantum computation using a single-loop scenario

被引:40
作者
Zhang, XD [1 ]
Zhu, SL
Hu, L
Wang, ZD
机构
[1] Univ Sci & Technol China, Dept Mat Sci & Engn, Hefei 230026, Peoples R China
[2] S China Normal Univ, Sch Phys & Telecommun Engn, Guangzhou, Peoples R China
[3] Univ Hong Kong, Dept Phys, Hong Kong, Hong Kong, Peoples R China
来源
PHYSICAL REVIEW A | 2005年 / 71卷 / 01期
关键词
D O I
10.1103/PhysRevA.71.014302
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A single-loop scenario is proposed to realize nonadiabatic geometric quantum computation. Conventionally, a so-called multiloop approach is used to remove the dynamical phase accumulated in the operation process for geometric quantum gates. More intriguingly, we here illustrate in detail how to use a special single-loop method to remove the dynamical phase and thus to construct a set of universal quantum gates based on the nonadiabatic geometric phase shift. The present scheme is applicable to NMR systems and may be feasible in other physical systems.
引用
收藏
页数:4
相关论文
共 16 条
[1]   PHASE-CHANGE DURING A CYCLIC QUANTUM EVOLUTION [J].
AHARONOV, Y ;
ANANDAN, J .
PHYSICAL REVIEW LETTERS, 1987, 58 (16) :1593-1596
[3]  
DU J, QUANTPH0207022
[4]   Observation of geometric phases for mixed states using NMR interferometry [J].
Du, JF ;
Zou, P ;
Shi, MJ ;
Kwek, LC ;
Pan, JW ;
Oh, CH ;
Ekert, A ;
Oi, DKL ;
Ericsson, M .
PHYSICAL REVIEW LETTERS, 2003, 91 (10)
[5]   Geometric manipulation of trapped ions for quantum computation [J].
Duan, LM ;
Cirac, JI ;
Zoller, P .
SCIENCE, 2001, 292 (5522) :1695-1697
[6]   Detection of geometric phases in superconducting nanocircuits [J].
Falci, G ;
Fazio, R ;
Palma, GM ;
Siewert, J ;
Vedral, V .
NATURE, 2000, 407 (6802) :355-358
[7]   Geometric quantum computation using nuclear magnetic resonance [J].
Jones, JA ;
Vedral, V ;
Ekert, A ;
Castagnoli, G .
NATURE, 2000, 403 (6772) :869-871
[8]   Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer [J].
Shor, PW .
SIAM REVIEW, 1999, 41 (02) :303-332
[9]   Nonadiabatic conditional geometric phase shift with NMR [J].
Wang, XB ;
Keiji, M .
PHYSICAL REVIEW LETTERS, 2001, 87 (09) :979011-979014
[10]   Holonomic quantum computation [J].
Zanardi, P ;
Rasetti, M .
PHYSICS LETTERS A, 1999, 264 (2-3) :94-99