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Fidelity enhancement by logical qubit encoding.

Michael K Henry1, Chandrasekhar Ramanathan, Jonathan S Hodges

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

Physical Review Letters
|February 1, 2008
PubMed
Summary
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We achieved high-fidelity control of two logical qubits using a decoherence-free subspace in NMR. This quantum information processing method enhances control over quantum states.

Area of Science:

  • Quantum Information Science
  • Nuclear Magnetic Resonance (NMR) Spectroscopy
  • Quantum Computing

Background:

  • Quantum information processing relies on robust qubit encoding to minimize errors.
  • Decoherence remains a significant challenge in building scalable quantum computers.
  • Nuclear Magnetic Resonance (NMR) systems offer a platform for studying quantum phenomena.

Purpose of the Study:

  • To demonstrate coherent control of logical qubits encoded in a decoherence-free subspace (DFS).
  • To investigate the efficacy of DFS encoding for enhancing quantum control fidelity in an NMR system.
  • To achieve a logical Bell state using a unitary entangling operator.

Main Methods:

  • Encoding two logical qubits within a decoherence-free subspace of four dipolar-coupled protons.

Related Experiment Videos

  • Utilizing Nuclear Magnetic Resonance (NMR) quantum information processing.
  • Creating a pseudopure fiducial state and applying a unitary logical qubit entangling operator.

    • Main Results:

    • Successfully demonstrated coherent control over the logical qubits.
    • Achieved high-fidelity evolution to a logical Bell state.
    • Observed higher fidelity control using DFS encoding compared to the full Hilbert space.

    Conclusions:

    • Decoherence-free subspace encoding provides a viable strategy for robust quantum information processing.
    • NMR systems can be effectively utilized for demonstrating advanced quantum control techniques.
    • The DFS approach offers a promising route towards more fault-tolerant quantum computation.