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

Auccaise, R.; Teles, J.; Sarthour, R. S.; Bonagamba, Tito J.; Oliveira, I. S.; deAzevedo, Eduardo R.

doi:10.1016/j.jmr.2008.01.009

Cited by 29 publications

(41 citation statements)

References 52 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…In this study we did not consider the relaxation and loss of coherence processes; however, they can be studied using the same NMR systems. 29 Once demonstrated that the evolution under the effect of the NMR and the BEC Hamiltonian may be equivalent, it is important to establish the relationship between the physical parameter of both systems. In the standard NMR technique only single quantum elements of the density matrix, ͉M͗͘M −1͉ or its complex conjugate, can be directly detected ͑see Figs.…”

Section: Resultsmentioning

confidence: 99%

NMR quadrupolar system described as Bose–Einstein-condensate-like system

Auccaise

Teles

Bonagamba

et al. 2009

The Journal of Chemical Physics

Self Cite

View full text Add to dashboard Cite

Second-order dipolar order in magic-angle spinning nuclear magnetic resonance J. Chem. Phys. 135, 154507 (2011) Single crystal nuclear magnetic resonance in spinning powders J. Chem. Phys. 135, 144201 (2011) Resistive detection of optically pumped nuclear polarization with spin phase transition peak at Landau level filling factor 2/3 Appl. Phys. Lett. 99, 112106 (2011) High-resolution 13C nuclear magnetic resonance evidence of phase transition of Rb,Cs-intercalated singlewalled nanotubes J. Appl. Phys. 110, 054306 (2011) Introduction of the Floquet-Magnus expansion in solid-state nuclear magnetic resonance spectroscopy J. Chem. Phys. 135, 044109 (2011) Additional information on J. Chem. Phys. This paper presents a description of nuclear magnetic resonance ͑NMR͒ of quadrupolar systems using the Holstein-Primakoff ͑HP͒ formalism and its analogy with a Bose-Einstein condensate ͑BEC͒ system. Two nuclear spin systems constituted of quadrupolar nuclei I =3/ 2 ͑ 23 Na͒ and I =7/ 2 ͑ 133 Cs͒ in lyotropic liquid crystals were used for experimental demonstrations. Specifically, we derived the conditions necessary for accomplishing the analogy, executed the proper experiments, and compared with quantum mechanical prediction for a Bose system. The NMR description in the HP representation could be applied in the future as a workbench for BEC-like systems, where the statistical properties may be obtained using the intermediate statistic, first established by Gentile. The description can be applied for any quadrupolar systems, including new developed solid-state NMR GaAS nanodevices.

show abstract

Section: Resultsmentioning

confidence: 99%

NMR quadrupolar system described as Bose–Einstein-condensate-like system

Auccaise

Teles

Bonagamba

et al. 2009

The Journal of Chemical Physics

Self Cite

View full text Add to dashboard Cite

show abstract

“…Considering the quadrupolar interaction as the only source of spin relaxation (pure quadrupolar relaxation), Jaccard et al [44] show that the relaxation of a spin 3 2 system can be described by three reduced spectral densities, J 0 , J 1 and J 2 , with the explicit expressions relating the spectral densities and the molecular parameter given in Auccaise et al [11]. Using the spectral densities, the relaxation of each element Dr ij of the traceless deviation matrix can be predicted by using the well-known Redfield formalism [11,22] …”

Section: Relaxation Behaviour Of Qubits Implemented By Quadrupolar Spinsmentioning

confidence: 99%

“…Figure 7b shows the decay of each deviation matrix element for a full superposition PPS, |sup ≡ 1 2 (|00 + |01 + |10 + |11 ), implemented in the 23 Na nuclear spin system (I = 3 2 ) described in §5. The experimental data were fitted by equation (4.1), using the procedure described in Auccaise et al [11]. With C = (11.7 ± 1.4) × 10 9 s −2 , obtained from the NMR spectrum [11,42], the reduced spectral densities were found to be J 0 = (17.0 ± 3.9) × 10 −9 s, J 1 = (3.0 ± 0.5) × 10 −9 s, J 2 = (3.4 ± 0.5) × 10 −9 s.…”

Section: Relaxation Behaviour Of Qubits Implemented By Quadrupolar Spinsmentioning

confidence: 99%

See 1 more Smart Citation

Quantum information processing by nuclear magnetic resonance on quadrupolar nuclei

Teles

deAzevedo

Freitas

et al. 2012

Phil. Trans. R. Soc. A.

View full text Add to dashboard Cite

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 1 2 nuclei as qubits, quadrupolar nuclei, which possess a spin greater than 1 2 , 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 3 2 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 1 2 and quadrupolar spin 3 2 systems, also presented in the literature. The possibilities and advantages of using nuclear quadrupole resonance experiments for quantum information processing are also discussed.

show abstract

“…Thus, a new method for tomography [21], based on nonselective pulses [22], was proposed and generalized to any spin system. Previous works, that used nonselective pulses to implement QST, explored a spin 3/2 quadrupolar system (an effective two-qubits system) showing the great acurracy of the technique [12,21] also for relaxation studies [23][24][25][26] and simulation of quantum systems [27] .…”

Section: Introductionmentioning

confidence: 99%

Quantum State Tomography and Quantum Logical Operations in a Three Qubits NMR Quadrupolar System

Araujo-Ferreira

Brasil

Soares-Pinto

et al. 2012

Int. J. Quantum Inform.

Self Cite

View full text Add to dashboard Cite

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). The various stages of each implementation were verified by quantum state tomography (QST). It is presented here the results for the computational base states, Toffolli logic gates, and Deutsch-Jozsa and Grover algorithms.Also, we discuss the difficulties and advantages of implementing such protocols using the SMP technique in quadrupolar systems.

show abstract

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

Cited by 29 publications

References 52 publications

NMR quadrupolar system described as Bose–Einstein-condensate-like system

NMR quadrupolar system described as Bose–Einstein-condensate-like system

Quantum information processing by nuclear magnetic resonance on quadrupolar nuclei

Quantum State Tomography and Quantum Logical Operations in a Three Qubits NMR Quadrupolar System

Contact Info

Product

Resources

About