Pramana

, Volume 59, Issue 2, pp 243–254

Developments in quantum information processing by nuclear magnetic resonance: Use of quadrupolar and dipolar couplings

  • Anil Kumar
  • K V Ramanathan
  • T S Mahesh
  • Neeraj Sinha
  • KVRM Murali
Proceedings Of The Second Winter Institute On Foundations Of Quantum Theory And Quantum Optics

DOI: 10.1007/s12043-002-0114-4

Cite this article as:
Kumar, A., Ramanathan, K.V., Mahesh, T.S. et al. Pramana - J Phys (2002) 59: 243. doi:10.1007/s12043-002-0114-4

Abstract

Use of dipolar and quadrupolar couplings for quantum information processing (QIP) by nuclear magnetic resonance (NMR) is described. In these cases, instead of the individual spins being qubits, the 2n energy levels of the spin-system can be treated as an n-qubit system. It is demonstrated that QIP in such systems can be carried out using transition-selective pulses, in CH3CN, 13CH3CN, 7Li (I=3/2) and 133Cs (I=7/2), oriented in liquid crystals yielding 2 and 3 qubit systems. Creation of pseudopure states, implementation of logic gates and arithmetic operations (half-adder and subtractor) have been carried out in these systems using transition-selective pulses.

Keywords

Quantum information processingqubitnuclear magnetic resonance quantum computing

PACS No

03.67.-a

Copyright information

© Indian Academy of Sciences 2002

Authors and Affiliations

  • Anil Kumar
    • 1
    • 2
  • K V Ramanathan
    • 2
  • T S Mahesh
    • 1
  • Neeraj Sinha
    • 1
  • KVRM Murali
    • 1
  1. 1.Department of PhysicsIndian Institute of ScienceBangaloreIndia
  2. 2.Sophisticated Instruments FacilityIndian Institute of ScienceBangaloreIndia
  3. 3.Media Lab, M.I.T.CambridgeUSA