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Related Experiment Videos

Experimental realization of an order-finding algorithm with an NMR quantum computer.

L M Vandersypen1, M Steffen, G Breyta

  • 1Solid State and Photonics Laboratory, Stanford University, Stanford, California 94305-4075, USA. lieven@snow.stanford.edu

Physical Review Letters
|January 3, 2001
PubMed
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Researchers built a nuclear magnetic resonance quantum computer. It efficiently solves the order finding problem, offering exponential speed-up over classical methods for quantum algorithms.

Area of Science:

  • Quantum Computing
  • Quantum Information Science
  • Nuclear Magnetic Resonance

Background:

  • Quantum algorithms offer significant speed-up for specific computational problems.
  • Order finding is a key subroutine in Shor's algorithm for factoring integers.
  • Nuclear Magnetic Resonance (NMR) is a promising platform for building quantum computers.

Purpose of the Study:

  • To demonstrate a quantum algorithm for order finding using Nuclear Magnetic Resonance.
  • To implement Shor's algorithm structure for exponential speed-up.
  • To showcase advancements in quantum control and state initialization.

Main Methods:

  • Utilized a five-qubit molecule for quantum computation.
  • Combined the quantum Fourier transform with exponentiated permutations.

Related Experiment Videos

  • Employed novel state initialization and quantum control techniques.

    • Main Results:

    • Successfully realized a Nuclear Magnetic Resonance quantum computer.
    • Demonstrated a quantum algorithm for order finding.
    • Achieved exponential speed-up scaling compared to classical algorithms.

    Conclusions:

    • NMR is a viable platform for implementing complex quantum algorithms.
    • The demonstrated algorithm provides a pathway towards practical quantum computation.
    • Advances in quantum control are crucial for realizing quantum advantage.