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Related Experiment Videos

Experimental implementation of local adiabatic evolution algorithms by an NMR quantum information processor.

Avik Mitra1, Arindam Ghosh, Ranabir Das

  • 1NMR Quantum Computation and Quantum Information Group, Department of Physics and NMR Research Centre, Indian Institute of Science, Bangalore 560012, India.

Journal of Magnetic Resonance (San Diego, Calif. : 1997)
|September 21, 2005
PubMed
Summary

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This study experimentally implements local adiabatic evolution algorithms for quantum computing using Nuclear Magnetic Resonance. These algorithms offer a potential pathway for solving complex computational problems with improved efficiency.

Area of Science:

  • Quantum Information Science
  • Computational Physics
  • Quantum Computing

Background:

  • The quantum adiabatic algorithm solves problems by evolving the ground state of a Hamiltonian.
  • Global adiabatic evolution can match classical algorithm complexity for certain problems.
  • Local adiabatic evolution offers an alternative approach with different complexity characteristics.

Purpose of the Study:

  • To experimentally implement local adiabatic evolution algorithms for Grover's search and the Deutsch-Jozsa algorithm.
  • To validate the performance of these algorithms on a physical quantum processor.
  • To explore the practical application of local adiabatic evolution in quantum computation.

Main Methods:

  • Experimental implementation on a 2-qubit quantum information processor.

Related Experiment Videos

  • Utilized Nuclear Magnetic Resonance (NMR) techniques for quantum state manipulation.
  • Applied local adiabatic evolution strategies to specific quantum algorithms.

    • Main Results:

    • Successfully demonstrated the experimental execution of local adiabatic evolution algorithms.
    • Achieved a complexity of order N (where N=2^n, n=number of qubits) for the implemented algorithms.
    • Provided a physical realization of theoretical local adiabatic evolution concepts.

    Conclusions:

    • The experimental implementation confirms the feasibility of local adiabatic evolution on a NMR quantum processor.
    • This work contributes to the practical development of quantum algorithms.
    • Local adiabatic evolution presents a viable method for tackling computational challenges in quantum information processing.