Toward quantum information processing by nuclear magnetic resonance: Pseudopure states and logical operations using selective pulses on an oriented spin 3/2 nucleus

Sinha, Neeraj; Mahesh, T. S.; Ramanathan, K. V.; Kumar, Anil

doi:10.1063/1.1346645

Cited by 65 publications

(80 citation statements)

References 34 publications

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“…and The quantum correlation (measured by the quantum discord) for this state was found to be about (2.0 ± 0.2) in units of e/ln (2). Note that, despite being a rather small number (e ≈ 10 −5 ), this value is beyond the NMR detection limit because only the deviation density matrix, from which the quantum correlation is calculated, is detected in NMR measurements.…”

Section: (B) Quantum Correlations In Quadrupolar Nmr Systemsmentioning

confidence: 94%

Quantum information processing by nuclear magnetic resonance on quadrupolar nuclei

Teles

deAzevedo

Freitas

et al. 2012

Phil. Trans. R. Soc. A.

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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.

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Section: (B) Quantum Correlations In Quadrupolar Nmr Systemsmentioning

confidence: 94%

Quantum information processing by nuclear magnetic resonance on quadrupolar nuclei

Teles

deAzevedo

Freitas

et al. 2012

Phil. Trans. R. Soc. A.

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“…For example, the C 11ǫ type gates (Eqs. [24]- [26]) require one spin selective and two transition selective pulses.…”

Section: The Conditional Phase Shift Gatementioning

confidence: 99%

Implementation of conditional phase-shift gate for quantum information processing by NMR, using transition-selective pulses

Das

Mahesh

Kumar

2002

Journal of Magnetic Resonance

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Experimental realization of quantum information processing in the field of nuclear magnetic resonance (NMR) has been well established. Implementation of conditional phase shift gate has been a significant step, which has lead to realization of important algorithms such as Grover's search algorithm and quantum Fourier transform. This gate has so far been implemented in NMR by using coupling evolution method. We demonstrate here the implementation of the conditional phase shift gate using transition selective pulses. As an application of the gate, we demonstrate Grover's search algorithm and quantum Fourier transform by simulations and experiments using transition selective pulses.

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“…In this work we have used the time-averaging method; the basic pulse sequences for generating pseudopure states in a I = 3/2 quadrupole system are given in Refs. [29][30][31].…”

Section: Nmr Two Qubit Systemsmentioning

confidence: 99%

Writing Electronic Ferromagnetic States in a High-Temperature Paramagnetic Nuclear Spin System

Soares-Pinto

Teles

Souza

et al. 2011

Int. J. Quantum Inform.

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In this paper we use the Nuclear Magnetic Resonance (NMR) to write eletronic states of a ferromagnetic system into a high-temperature paramagnetic nuclear spins. Through the control of phase and duration of radiofrequency pulses we set the NMR density matrix populations, and apply the technique of quantum state tomography to experimentally obtain the matrix elements of the system, from which we calculate the temperature dependence of magnetization for different magnetic fields. The effects of the variation of temperature and magnetic field over the populations can be mapped in the angles of spins rotations, carried out by the RF pulses. The experimental results are compared to the Brillouin functions of ferromagnetic ordered systems in the mean field approximation for two cases: the mean field is given by (i) B = B0 + λM and (ii) B = B0 + λM + λ ′ M 3 , where B0 is the external magnetic field, and λ, λ ′ are mean field parameters. The first case exhibits second order transition, whereas the second case has first order transition with temperature hysteresis. The NMR simulations are in good agreement with the magnetic predictions.

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Toward quantum information processing by nuclear magnetic resonance: Pseudopure states and logical operations using selective pulses on an oriented spin 3/2 nucleus

Cited by 65 publications

References 34 publications

Quantum information processing by nuclear magnetic resonance on quadrupolar nuclei

Quantum information processing by nuclear magnetic resonance on quadrupolar nuclei

Implementation of conditional phase-shift gate for quantum information processing by NMR, using transition-selective pulses

Writing Electronic Ferromagnetic States in a High-Temperature Paramagnetic Nuclear Spin System

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