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Practical scheme for quantum computation with any two-qubit entangling gate.

Michael J Bremner1, Christopher M Dawson, Jennifer L Dodd

  • 1Centre for Quantum Computer Technology and Department of Physics, The University of Queensland, QLD 4072, Australia.

Physical Review Letters
|December 18, 2002
PubMed
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Any entangling two-qubit gate is universal for quantum computation when combined with single-qubit gates. This study offers a simple, practical proof for quantum computing gate universality.

Area of Science:

  • Quantum Information Science
  • Quantum Computation Theory
  • Quantum Gate Universality

Background:

  • Quantum computation relies on universal sets of quantum gates.
  • The universality of certain two-qubit gates, like CNOT, with single-qubit gates is established.
  • Precisely defining the class of universal two-qubit gates remains an active research area.

Purpose of the Study:

  • To determine the precise class of two-qubit gates that are universal for quantum computation.
  • To present an elementary and experimentally practical proof of gate universality.

Main Methods:

  • An elementary proof is presented for the universality of entangling two-qubit gates.
  • A simple constructive procedure is developed, demonstrating experimental practicality.

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Main Results:

  • It is proven that any entangling two-qubit gate, when assisted by arbitrary one-qubit gates, is universal for quantum computation.
  • The presented constructive procedure is near-optimal.

Conclusions:

  • Entangling two-qubit gates form a universal set for quantum computation.
  • This finding simplifies the understanding and implementation of universal quantum gates.