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Related Experiment Videos

Ensemble quantum computing by NMR spectroscopy

D G Cory1, A F Fahmy, T F Havel

  • 1Department of Nuclear Engineering, Massachusetts Institute of Technology, Cambridge 02139, USA.

Proceedings of the National Academy of Sciences of the United States of America
|March 4, 1997
PubMed
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A new computational model using expectation values, instead of random outcomes, enables quantum computers (QCs) to solve complex problems efficiently. This model is realizable with Nuclear Magnetic Resonance (NMR) spectroscopy, offering a novel approach to computation.

Area of Science:

  • Quantum computing
  • Computational complexity theory
  • Nuclear Magnetic Resonance (NMR) spectroscopy

Background:

  • Quantum computers (QCs) offer parallel processing but are limited by wave function collapse during measurement.
  • Extracting information from QCs is constrained by the probabilistic nature of measurement outcomes.

Purpose of the Study:

  • To introduce a new computational model that overcomes QC measurement limitations.
  • To demonstrate the feasibility of this model using NMR spectroscopy.
  • To explore its potential for solving complex computational problems.

Main Methods:

  • Proposed a computational model where measurement yields expectation values, not random eigenvalues.
  • Utilized Nuclear Magnetic Resonance (NMR) spectroscopy on macroscopic ensembles of quantum spins.

Related Experiment Videos

  • Identified and employed pseudo-pure states in statistical spin systems for computation.

    • Main Results:

    • The expectation value quantum computer (QC) can solve nondeterministic polynomial-time complete problems in polynomial time.
    • NMR spectroscopy provides a practical realization of this computational model.
    • NMR computers can solve problems by consuming sample exponentially with problem size, rather than time.

    Conclusions:

    • The expectation value computational model offers a viable alternative to standard QCs, particularly for complex problems.
    • NMR spectroscopy enables a novel form of computation with unique resource scaling properties.
    • While current NMR computers are limited in bit-search capacity, future advancements hold significant potential.