Proceedings Of The Second Winter Institute On Foundations Of Quantum Theory And Quantum Optics

Pramana

, Volume 59, Issue 2, pp 243-254

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

  • Anil KumarAffiliated withDepartment of Physics, Indian Institute of ScienceSophisticated Instruments Facility, Indian Institute of Science Email author 
  • , K V RamanathanAffiliated withSophisticated Instruments Facility, Indian Institute of Science
  • , T S MaheshAffiliated withDepartment of Physics, Indian Institute of Science
  • , Neeraj SinhaAffiliated withDepartment of Physics, Indian Institute of Science
  • , KVRM MuraliAffiliated withDepartment of Physics, Indian Institute of Science

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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 2 n 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 processing qubit nuclear magnetic resonance quantum computing

PACS No

03.67.-a