Ensemble quantum-information processing by NMR: Implementation of gates and the creation of pseudopure states using dipolar coupled spins as qubits

T. S. Mahesh, Neeraj Sinha, K. V. Ramanathan, and Anil Kumar
Phys. Rev. A 65, 022312 – Published 11 January 2002
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Abstract

Quantum-information processing is carried out using dipolar coupled spins and high-resolution nuclear magnetic resonance (NMR). The systems chosen are the dipolar coupled methyl protons of CH3CN partially oriented in a liquid crystalline matrix yielding a two-qubit system and dipolar coupled 13C and methyl protons of 13CH3CN also partially oriented in the liquid crystalline matrix, yielding a three-qubit system. The dipolar coupled protons of oriented CH3 group are chemically and magnetically identical and their eigenstates can be divided into a set of quartet states (symmetric A) and a pair of doublet (E) states. We describe here a method for selectively retaining the magnetization of the symmetric states, yielding two and three qubit systems. We create pseudopure states using single-quantum-transition selective pulses and implement two- and three-qubit gates using one- and two-dimensional NMR.

  • Received 12 August 2001

DOI:https://doi.org/10.1103/PhysRevA.65.022312

©2002 American Physical Society

Authors & Affiliations

T. S. Mahesh1, Neeraj Sinha1, K. V. Ramanathan2, and Anil Kumar1,2,*

  • 1Department of Physics, Indian Institute of Science, Bangalore 560012, India
  • 2Sophisticated Instruments Facility, Indian Institute of Science, Bangalore 560012, India

  • *Author to whom correspondence should be addressed. Email address: anilnmr@physics.iisc.ernet.in

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Vol. 65, Iss. 2 — February 2002

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