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Quantum computing by an optimal control algorithm for unitary transformations.

José P Palao1, Ronnie Kosloff

  • 1Department of Physical Chemistry and the Fritz Haber Research Center for Molecular Dynamics, Hebrew University, Jerusalem 91904, Israel.

Physical Review Letters
|October 26, 2002
PubMed
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This study introduces a generalized optimal control theory to precisely engineer quantum computer operations. The method designs control fields for specific quantum gates, applicable across various quantum computing hardware.

Area of Science:

  • Quantum Computing
  • Quantum Control Theory
  • Molecular Systems

Background:

  • Quantum computation relies on executing precise unitary transformations for algorithms.
  • Developing methods to generate these transformations is crucial for advancing quantum computing.
  • Existing methods may be tied to specific hardware implementations.

Purpose of the Study:

  • To present a generalized optimal control theory for designing quantum computer driving fields.
  • To demonstrate the generation of specific unitary transformations (quantum gates).
  • To show the applicability of the method independent of physical quantum computing implementations.

Main Methods:

  • Utilizing a generalized optimal control theory framework.
  • Calculating the driving field required for a target unitary transformation.

Related Experiment Videos

  • Applying the theory to model systems, including one and two-qubit gates.
  • Focusing on scenarios where only a subset of the Hilbert space is used.

    • Main Results:

    • Successfully derived control fields for specified unitary transformations.
    • Demonstrated the generation of single and two-qubit gates.
    • Validated the approach's independence from specific physical quantum computing architectures.
    • Showcased application in model molecular systems using partial Hilbert space.

    Conclusions:

    • The generalized optimal control theory provides a robust method for quantum gate synthesis.
    • This approach offers hardware-agnostic control field design for quantum computation.
    • The findings are applicable to developing quantum algorithms in diverse molecular systems.