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M Zwerger1, H J Briegel1, W Dür2

  • 11] Institut für Theoretische Physik, Universität Innsbruck, Technikerstr. 25, A-6020 Innsbruck, Austria [2] Institut für Quantenoptik und Quanteninformation der Österreichischen Akademie der Wissenschaften, Innsbruck, Austria.

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This study introduces a hybrid quantum computation scheme, merging circuit and measurement-based models. It optimizes resource states for error correction and gates, achieving fault tolerance with up to 10% local noise.

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Area of Science:

  • Quantum Information Science
  • Quantum Computation
  • Quantum Communication

Background:

  • The circuit model and measurement-based quantum computation (MBQC) are leading paradigms.
  • Integrating their strengths offers potential for enhanced quantum information processing.

Purpose of the Study:

  • To develop a hybrid quantum computation scheme combining modularity with MBQC advantages.
  • To design minimal-size optimal resource states for encoded quantum computation within this hybrid framework.

Main Methods:

  • A hybrid scheme integrating circuit model building blocks with MBQC principles.
  • Construction of optimal, minimal-size resource states for encoded quantum computation.
  • Inclusion of resource states for quantum error correction and encoded gates.

Main Results:

  • Demonstration of constructing optimal resource states for elementary building blocks in encoded MBQC.
  • Identification of resource state quality as the key performance determinant.
  • Determination of a fault-tolerance threshold of approximately 10% local noise per particle.

Conclusions:

  • The proposed hybrid scheme effectively implements encoded quantum computation using MBQC.
  • Achieving fault-tolerant quantum computation and communication is feasible with high-quality resource states.
  • This approach offers a promising pathway for robust quantum information processing.