Numerical simulation of NQR/NMR: Applications in quantum computing

被引:12
作者
Possa, Denimar [1 ]
Gaudio, Anderson C. [1 ]
Freitas, Jair C. C. [1 ]
机构
[1] Univ Fed Espirito Santo, Dept Fis, BR-29075910 Vitoria, ES, Brazil
关键词
NQR; NMR; Quantum computing; Numerical simulation; Density matrix; Average Hamiltonian; NUCLEAR-MAGNETIC-RESONANCE; SOLID-STATE NMR; EFFECTIVE PURE STATES; QUADRUPOLAR NUCLEI; SENSITIVITY ENHANCEMENT; SPIN; EXCITATION; SPECTRA; REALIZATION; ALGORITHM;
D O I
10.1016/j.jmr.2011.01.020
中图分类号
Q5 [生物化学];
学科分类号
071010 ; 081704 ;
摘要
A numerical simulation program able to simulate nuclear quadrupole resonance (NQR) as well as nuclear magnetic resonance (NMR) experiments is presented, written using the Mathematica package, aiming especially applications in quantum computing. The program makes use of the interaction picture to compute the effect of the relevant nuclear spin interactions, without any assumption about the relative size of each interaction. This makes the program flexible and versatile, being useful in a wide range of experimental situations, going from NQR (at zero or under small applied magnetic field) to high-field NMR experiments. Some conditions specifically required for quantum computing applications are implemented in the program, such as the possibility of use of elliptically polarized radiofrequency and the inclusion of first- and second-order terms in the average Hamiltonian expansion. A number of examples dealing with simple NQR and quadrupole-perturbed NMR experiments are presented, along with the proposal of experiments to create quantum pseudopure states and logic gates using NQR. The program and the various application examples are freely available through the link http://www.profanderson.net/files/nmr_nqr.php. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码:250 / 260
页数:11
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