scholarly journals Use of quadrupolar nuclei for quantum-information processing by nuclear magnetic resonance: Implementation of a quantum algorithm

2003 ◽  
Vol 68 (3) ◽  
Author(s):  
Ranabir Das ◽  
Anil Kumar
Author(s):  
João Teles ◽  
Eduardo R. DeAzevedo ◽  
Jair C. C. Freitas ◽  
Roberto S. Sarthour ◽  
Ivan S. Oliveira ◽  
...  

Nuclear magnetic resonance is viewed as an important technique for the implementation of many quantum information algorithms and protocols. Although the most straightforward approach is to use the two-level system composed of spin nuclei as qubits, quadrupolar nuclei, which possess a spin greater than , are being used as an alternative. In this study, we show some unique features of quadrupolar systems for quantum information processing, with an emphasis on the ability to execute efficient quantum state tomography (QST) using only global rotations of the spin system, whose performance is shown in detail. By preparing suitable states and implementing logical operations by numerically optimized pulses together with the QST method, we follow the stepwise execution of Grover's algorithm. We also review some work in the literature concerning the relaxation of pseudo-pure states in spin systems as well as its modelling in both the Redfield and Kraus formalisms. These data are used to discuss differences in the behaviour of the quantum correlations observed for two-qubit systems implemented by spin and quadrupolar spin systems, also presented in the literature. The possibilities and advantages of using nuclear quadrupole resonance experiments for quantum information processing are also discussed.


Author(s):  
Ben Criger ◽  
Gina Passante ◽  
Daniel Park ◽  
Raymond Laflamme

Quantum information processors have the potential to drastically change the way we communicate and process information. Nuclear magnetic resonance (NMR) has been one of the first experimental implementations of quantum information processing (QIP) and continues to be an excellent testbed to develop new QIP techniques. We review the recent progress made in NMR QIP, focusing on decoupling, pulse engineering and indirect nuclear control. These advances have enhanced the capabilities of NMR QIP, and have useful applications in both traditional NMR and other QIP architectures.


2005 ◽  
Vol 35 (3a) ◽  
pp. 617-625 ◽  
Author(s):  
J. D. Bulnes ◽  
F. A. Bonk ◽  
R. S. Sarthour ◽  
E. R. de Azevedo ◽  
J. C. C. Freitas ◽  
...  

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