Quantum information processing by NMR using a 5-qubit system formed by dipolar coupled spins in an oriented molecule

Journal of Magnetic Resonance
Ranabir DasAnil Kumar

Abstract

Quantum information processing by NMR with small number of qubits is well established. Scaling to higher number of qubits is hindered by two major requirements (i) mutual coupling among qubits and (ii) qubit addressability. It has been demonstrated that mutual coupling can be increased by using residual dipolar couplings among spins by orienting the spin system in a liquid crystalline matrix. In such a case, the heteronuclear spins are weakly coupled, but the homonuclear spins often become strongly coupled. In such circumstances, the strongly coupled spins, which yield second order spectra, can no longer be individually treated as qubits. However, it has been demonstrated elsewhere, that the 2(N) energy levels of a strongly coupled N spin-1/2 system can be treated as an N-qubit system. For this purpose the various transitions have to be identified to well defined energy levels. This paper consists of two parts. In the first part, the energy level diagram of a heteronuclear 5-spin system is obtained by using a newly developed heteronuclear z-cosy (HET-Z-COSY) experiment. In the second part, implementation of logic gates, preparation of pseudopure states, creation of entanglement, and entanglement transfer is demonstrated, valida...Continue Reading

References

Jan 17, 1997·Science·N A Gershenfeld, I L Chuang
Mar 4, 1997·Proceedings of the National Academy of Sciences of the United States of America·D G CoryT F Havel
Apr 1, 1996·Physical Review. a·J A Smolin, D P DiVincenzo

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Citations

Sep 27, 2005·Journal of Magnetic Resonance·Ranabir DasAnil Kumar
Mar 3, 2005·The Journal of Chemical Physics·Jae-Seung Lee, A K Khitrin

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