Two kinds of quantum adiabatic approximation

被引：10

作者：

Ye, Ming-Yong ^{[1
]}

Zhou, Xiang-Fa ^{[1
]}

Zhang, Yong-Sheng ^{[1
]}

Guo, Guang-Can ^{[1
]}

机构：

[1] Univ Sci & Technol China, Dept Phys, Key Lab Quantum Informat, Hefei 230026, Peoples R China

来源：

PHYSICS LETTERS A | 2007年 / 368卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1016/j.physleta.2007.03.056

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A simple proof of quantum adiabatic theorem is provided. Quantum adiabatic approximation is divided into two kinds. For Hamiltonian H (t/T), a relation between the size of the error caused by quantum adiabatic approximation and the parameter T is given. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：18 / 24

页数：7

共 23 条

[11] Perturbative approach to the adiabatic approximation
MacKenzie, R
Marcotte, E
Paquette, H
[J]. PHYSICAL REVIEW A, 2006, 73 (04): : 1 - 6
[12] Marzlin KP, 2006, PHYS REV LETT, V97, DOI 10.1103/PhysRevLett.97.128903
[13] Inconsistency in the application of the adiabatic theorem
Marzlin, KP
Sanders, BC
[J]. PHYSICAL REVIEW LETTERS, 2004, 93 (16) : 160408 - 1
[14] Messiah A., 1970, QUANTUM MECH
[15] Quantum adiabatic approximation and the geometric phase
Mostafazadeh, A
[J]. PHYSICAL REVIEW A, 1997, 55 (03): : 1653 - 1664
[16] ADIABATIC THEOREM OF QUANTUM-MECHANICS
NENCIU, G
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (02): : L15 - L18
[17] Nielsen M.A., 2002, Quantum computation and quantum information, DOI DOI 10.1119/1.1463744
[18] Consistency of the Adiabatic Theorem
Sarandy, M. S.
Wu, L. -A.
Lidar, D. A.
[J]. QUANTUM INFORMATION PROCESSING, 2004, 3 (06) : 331 - 349
[19] SCHIFF LI, 1998, REV MOD PHYS, V70, P1003
[20] Quantitative conditions do not guarantee the validity of the adiabatic approximation
Tong, DM
Singh, K
Kwek, LC
Oh, CH
[J]. PHYSICAL REVIEW LETTERS, 2005, 95 (11)

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