QUANTUM STATE TOMOGRAPHY AND QUANTUM LOGICAL OPERATIONS IN A THREE QUBITS NMR QUADRUPOLAR SYSTEM

被引：8
作者：
Araujo-Ferreira, A. G. [1 ]
Brasil, C. A. [1 ]
Soares-Pinto, D. O. [1 ]
Deazevedo, E. R. [1 ]
Bonagamba, T. J. [1 ]
Teles, J. [2 ]
机构：
[1] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13560970 Sao Carlos, SP, Brazil
[2] Univ Fed Sao Carlos, Ctr Ciencias Agr, BR-13600970 Araras, SP, Brazil
来源：
INTERNATIONAL JOURNAL OF QUANTUM INFORMATION | 2012年 / 10卷 / 02期
基金：
巴西圣保罗研究基金会;
关键词：
Quantum state tomography; quantum logical operations; three qubits; NUCLEAR-MAGNETIC-RESONANCE; DENSITY-MATRIX; COMPUTATION; RELAXATION; FORMALISM; PULSES;
D O I：
10.1142/S0219749912500165
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this work, we present an implementation of quantum logic gates and algorithms in a three effective qubits system, represented by a (I = 7/2) NMR quadrupolar nuclei. To implement these protocols we have used the strong modulating pulses (SMP) and the various stages of each implementation were verified by quantum state tomography (QST). The results for the computational base states, Toffolli logic gates, and Deutsch-Jozsa and Grover algorithms are presented here. Also, we discuss the difficulties and advantages of implementing such protocols using the SMP technique in quadrupolar systems.
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页数：20
相关论文
共 31 条
[1]   Reconstructing the density matrix of a spin s through Stern-Gerlach measurements:: II [J].
Amiet, JP ;
Weigert, S .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (25) :L269-L274
[2]   A study of the relaxation dynamics in a quadrupolar NMR system using Quantum State Tomography [J].
Auccaise, R. ;
Teles, J. ;
Sarthour, R. S. ;
Bonagamba, T. J. ;
Oliveira, I. S. ;
de Azevedo, E. R. .
JOURNAL OF MAGNETIC RESONANCE, 2008, 192 (01) :17-26
[3]   NMR quadrupolar system described as Bose-Einstein-condensate-like system [J].
Auccaise, R. ;
Teles, J. ;
Bonagamba, T. J. ;
Oliveira, I. S. ;
deAzevedo, E. R. ;
Sarthour, R. S. .
JOURNAL OF CHEMICAL PHYSICS, 2009, 130 (14)
[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]   Quantum information processing through nuclear magnetic resonance [J].
Bulnes, JD ;
Bonk, FA ;
Sarthour, RS ;
de Azevedo, ER ;
Freitas, JCC ;
Bonagamba, TJ ;
Oliveira, IS .
BRAZILIAN JOURNAL OF PHYSICS, 2005, 35 (3A) :617-625
[7]   Bulk quantum computation with nuclear magnetic resonance: theory and experiment [J].
Chuang, IL ;
Gershenfeld, N ;
Kubinec, MG ;
Leung, DW .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1998, 454 (1969) :447-467
[8]   Experimental implementation of fast quantum searching [J].
Chuang, IL ;
Gershenfeld, N ;
Kubinec, M .
PHYSICAL REVIEW LETTERS, 1998, 80 (15) :3408-3411
[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]   RAPID SOLUTION OF PROBLEMS BY QUANTUM COMPUTATION [J].
DEUTSCH, D ;
JOZSA, R .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1992, 439 (1907) :553-558
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