A study of the relaxation dynamics in a quadrupolar NMR system using Quantum State Tomography

被引:22
作者
Auccaise, R. [2 ]
Teles, J. [1 ]
Sarthour, R. S. [2 ]
Bonagamba, T. J. [1 ]
Oliveira, I. S. [2 ]
de Azevedo, E. R. [1 ]
机构
[1] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13560970 Sao Carlos, SP, Brazil
[2] Ctr Brasileiro Pesquisas Fis, BR-22290180 Rio De Janeiro, Brazil
基金
巴西圣保罗研究基金会;
关键词
NMR Quantum Information Processing; Quantum State Tomography; relaxation dynamics; quadrupolar spin 3/2 oriented system;
D O I
10.1016/j.jmr.2008.01.009
中图分类号
Q5 [生物化学];
学科分类号
071010 ; 081704 ;
摘要
This article reports a relaxation study in an oriented system containing spin 3/2 nuclei using quantum state tomography (QST). The use of QST allowed evaluating the time evolution of all density matrix elements starting from several initial states. Using an appropriated treatment based on the Redfield theory, the relaxation rate of each density matrix element was measured and the reduced spectral densities that describe the system relaxation were determined. All the experimental data could be well described assuming pure quadrupolar relaxation and reduced spectral densities corresponding to a superposition of slow and fast motions. The data were also analyzed in the context of Quantum Information Processing, where the coherence loss of each qubit of the system was determined using the partial trace operation. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码:17 / 26
页数:10
相关论文
共 57 条
[1]  
Abragam A., 1994, PRINCIPLES NUCL MAGN
[2]   Decoherence under many-body system-environment interactions: A stroboscopic representation based on a fictitiously homogenized interaction rate [J].
Alvarez, Gonzalo A. ;
Danieli, Ernesto P. ;
Levstein, Patricia R. ;
Pastawski, Horacio M. .
PHYSICAL REVIEW A, 2007, 75 (06)
[3]   RELAXATION EFFECTS IN NUCLEAR MAGNETIC RESONANCE ABSORPTION [J].
BLOEMBERGEN, N ;
PURCELL, EM ;
POUND, RV .
PHYSICAL REVIEW, 1948, 73 (07) :679-712
[4]   Quantum-state tomography for quadrupole nuclei and its application on a two-qubit system [J].
Bonk, FA ;
Sarthour, RS ;
deAzevedo, ER ;
Bulnes, JD ;
Mantovani, GL ;
Freitas, JCC ;
Bonagamba, TJ ;
Guimaraes, AP ;
Oliveira, IS .
PHYSICAL REVIEW A, 2004, 69 (04) :042322-1
[5]   Quantum logical operations for spin 3/2 quadrupolar nuclei monitored by quantum state tomography [J].
Bonk, FA ;
deAzevedo, ER ;
Sarthour, RS ;
Bulnes, JD ;
Freitas, JCC ;
Guimaraes, AP ;
Oliveira, IS ;
Bonagamba, TJ .
JOURNAL OF MAGNETIC RESONANCE, 2005, 175 (02) :226-234
[6]   Experimental realization of a quantum algorithm [J].
Chuang, IL ;
Vandersypen, LMK ;
Zhou, XL ;
Leung, DW ;
Lloyd, S .
NATURE, 1998, 393 (6681) :143-146
[7]   Universal decoherence induced by an environmental quantum phase transition [J].
Cucchietti, Fernando Martin ;
Fernandez-Vidal, Sonia ;
Paz, Juan Pablo .
PHYSICAL REVIEW A, 2007, 75 (03)
[8]   Decoherence from spin environments [J].
Cucchietti, FM ;
Paz, JP ;
Zurek, WH .
PHYSICAL REVIEW A, 2005, 72 (05)
[9]   Use of quadrupolar nuclei for quantum-information processing by nuclear magnetic resonance: Implementation of a quantum algorithm [J].
Das, R ;
Kumar, A .
PHYSICAL REVIEW A, 2003, 68 (03) :8
[10]   Measurement of dipolar interaction of quadrupolar nuclei in solution using multiple-quantum NMR spectroscopy [J].
Eliav, U ;
Navon, G .
JOURNAL OF MAGNETIC RESONANCE SERIES A, 1996, 123 (01) :32-48