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Implementation of the Deutsch-Jozsa algorithm on an ion-trap quantum computer.

Stephan Gulde¹, Mark Riebe, Gavin P T Lancaster

¹Institut für Experimentalphysik, Universität Innsbruck, Technikerstrasse 25, A-6020 Innsbruck, Austria.

|January 4, 2003

Summary

Researchers implemented the quantum Deutsch-Jozsa algorithm using a single calcium ion in an ion trap. This demonstrates high-precision quantum computation, advancing trapped-ion quantum computing potential.

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Area of Science:

Quantum Information Science
Atomic Physics
Quantum Computing

Background:

Classical determination of a coin's fairness requires examining both sides.
The quantum Deutsch-Jozsa algorithm offers a more efficient method, requiring only one examination step.
Previous implementations utilized nuclear magnetic resonance (NMR) with nuclear spins as qubits.

Purpose of the Study:

To implement the Deutsch-Jozsa algorithm on an ion-trap quantum processor.
To utilize the electronic and motional states of a single calcium ion as qubits.
To demonstrate the viability of ion-trap systems for complex quantum computations.

Main Methods:

Exploited techniques developed for NMR experiments.
Implemented the Deutsch-Jozsa algorithm on a trapped-ion quantum processor.
Used the electronic and motional states of a single calcium ion as qubits.

Main Results:

Successfully executed the Deutsch-Jozsa algorithm on a single-ion, ion-trap quantum processor.
Demonstrated high-quality and precision experimental procedures for quantum computation.
Validated the potential of trapped ions for scalable quantum computing.

Conclusions:

The ion-based implementation confirms the potential of trapped ions for quantum computation.
The demonstrated precision is suitable for complex quantum algorithms.
This work advances the field of ion-trap quantum computing.