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Quantum algorithms for Josephson networks.

J Siewert1, R Fazio

  • 1Dipartimento di Metodologie Fisiche e Chimiche (DMFCI), Università di Catania, viale A. Doria 6, I-95125 Catania, Italy.

Physical Review Letters
|December 12, 2001
PubMed
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We explored quantum algorithms using Josephson charge qubits, detailing implementations for the Deutsch and Bernstein-Vazirani algorithms. Entangled states are crucial for some, while others work with uncoupled qubits.

Area of Science:

  • Quantum computing
  • Solid-state physics
  • Quantum information science

Background:

  • Macroscopic Josephson charge qubits offer a potential platform for quantum computation.
  • Implementing quantum algorithms requires precise control over qubit states and interactions.

Purpose of the Study:

  • To analyze the feasibility of implementing quantum algorithms on Josephson charge qubits.
  • To provide system parameters for realizing the Deutsch algorithm.
  • To investigate the role of entangled states and explore alternative implementations.

Main Methods:

  • Theoretical analysis of Josephson charge qubit systems.
  • Detailed system layout and parameter specification for quantum gate operations.
  • Examination of quantum entanglement requirements for specific algorithms.

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Main Results:

  • System configurations for the Deutsch algorithm with up to three qubits are presented.
  • The necessity of entangled states for certain implementations is highlighted.
  • Demonstration that Bernstein-Vazirani algorithm gates can be realized using uncoupled qubits.

Conclusions:

  • Josephson charge qubits are a viable platform for implementing quantum algorithms.
  • Algorithm implementation strategies vary, with some requiring entanglement and others not.
  • This research contributes to the development of solid-state quantum computing architectures.