Decoherent quantum walks driven by a generic coin operation

被引：15
作者：
Abal, G.
Donangelo, R.
Severo, F.
Siri, R.
机构：
[1] Univ Republica, Inst Fis, Montevideo 11300, Uruguay
[2] Univ Fed Rio de Janeiro, Inst Fis, BR-21941972 Rio De Janeiro, Brazil
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2008年 / 387卷 / 01期
关键词：
quantum walk; quantum information; random walk; decoherence;
D O I：
10.1016/j.physa.2007.08.058
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider the effect of different unitary noise mechanisms on the evolution of a quantum walk (QW) on a linear chain with a generic coin operation: (i) bit-flip channel noise, restricted to the coin subspace of the QW and (ii) topological noise caused by randomly broken links in the linear chain. Similarities and differences in the respective decoherent dynamics of the walker as a function of the probability per unit time of a decoherent event taking place are discussed. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：335 / 345
页数：11
相关论文
共 28 条
[21]  
OLIVEIRA A, 2007, THESIS LNCC PETROPOL, P51101
[22]   Decoherence in the quantum walk on the line [J].
Romanelli, A ;
Siri, R ;
Abal, G ;
Auyuanet, A ;
Donangelo, R .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 347 :137-152
[23]   Quantum random walk on the line as a Markovian process [J].
Romanelli, A ;
Schifino, ACS ;
Siri, R ;
Abal, G ;
Auyuanet, A ;
Donangelo, R .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 338 (3-4) :395-405
[24]   Experimental implementation of a discrete-time quantum random walk on an NMR quantum-information processor [J].
Ryan, CA ;
Laforest, M ;
Boileau, JC ;
Laflamme, R .
PHYSICAL REVIEW A, 2005, 72 (06)
[25]   One-dimensional quantum walk with unitary noise [J].
Shapira, D ;
Biham, O ;
Bracken, AJ ;
Hackett, M .
PHYSICAL REVIEW A, 2003, 68 (06)
[26]   Quantum random-walk search algorithm [J].
Shenvi, N ;
Kempe, J ;
Whaley, KB .
PHYSICAL REVIEW A, 2003, 67 (05)
[27]   Implementing the quantum random walk [J].
Travaglione, BC ;
Milburn, GJ .
PHYSICAL REVIEW A, 2002, 65 (03) :5
[28]   Controlling discrete quantum walks: coins and initial states [J].
Tregenna, B ;
Flanagan, W ;
Maile, R ;
Kendon, V .
NEW JOURNAL OF PHYSICS, 2003, 5 :83.1-83.19
123