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Related Experiment Videos

Using qubits to measure fidelity in mesoscopic systems.

G B Lesovik1, F Hassler, G Blatter

  • 1L.D. Landau Institute for Theoretical Physics RAS, 117940 Moscow, Russia.

Physical Review Letters
|April 12, 2006
PubMed
Summary

We found similarities between quantum system fidelity and charge transport statistics. Flux or charge qubits can measure these properties, offering new insights into quantum systems.

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Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics
  • Quantum Computing

Background:

  • Quantum system fidelity quantifies state preservation.
  • Full counting statistics describe charge transport in quantum systems.
  • Understanding these properties is crucial for quantum technologies.

Purpose of the Study:

  • To highlight the conceptual link between quantum fidelity and charge transport statistics.
  • To propose flux or charge qubits as tools for measuring quantum fidelity.
  • To apply the concept of fidelity to gain new insights into charge transport statistics.

Main Methods:

  • Theoretical analysis comparing definitions of quantum fidelity and generating functions for full counting statistics.
  • Utilizing a first-quantized formalism.
  • Proposing the use of flux or charge qubits for experimental measurement.

Main Results:

  • Identified a direct similarity between the mathematical definitions of quantum fidelity and the generating function for full counting statistics.
  • Demonstrated that flux or charge qubits are suitable for measuring quantum fidelity.
  • Derived novel results and insights into the generating function of full counting statistics by applying the fidelity concept.

Conclusions:

  • Quantum fidelity and charge transport statistics share fundamental similarities.
  • Flux or charge qubits offer a viable experimental approach for measuring quantum fidelity.
  • The application of fidelity provides a powerful framework for advancing the understanding of quantum charge transport.

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