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Approximate quantum cloning with nuclear magnetic resonance.

Holly K Cummins1, Claire Jones, Alistair Furze

  • 1Centre for Quantum Computation, Clarendon Laboratory, University of Oxford, Parks Road, OX1 3PU, United Kingdom.

Physical Review Letters
|May 15, 2002
PubMed
Summary

This study demonstrates a quantum cloning network using a three-qubit nuclear magnetic resonance (NMR) device. Experimental results show similar cloning fidelities, limited by decoherence and magnetic field inhomogeneity.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Optics

Background:

  • The no-cloning theorem prohibits perfect copies of unknown quantum states.
  • Approximate quantum cloning networks offer a way to create imperfect copies.
  • Nuclear Magnetic Resonance (NMR) is a viable platform for quantum information processing.

Purpose of the Study:

  • To experimentally implement and analyze a one-to-two approximate quantum cloning network.
  • To investigate the fidelity limitations imposed by experimental imperfections in NMR.

Main Methods:

  • Utilized a three-qubit Nuclear Magnetic Resonance (NMR) quantum processor.
  • Implemented the theoretical one-to-two approximate quantum cloning network proposed by Buzek et al.
  • Characterized the fidelity of cloned states for various input quantum states.

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Main Results:

  • The experimental network successfully cloned all input states with comparable fidelities.
  • Achieved fidelities were constrained by decoherence and B(1) field inhomogeneity.
  • The total fidelity did not surpass the theoretical measurement bound due to these imperfections.

Conclusions:

  • Experimental realization of approximate quantum cloning networks is feasible using NMR.
  • Decoherence and magnetic field inhomogeneity are critical factors limiting cloning fidelity in NMR systems.
  • The study validates theoretical predictions regarding fidelity bounds in approximate quantum cloning.