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Measurement-free, scalable, and fault-tolerant universal quantum computing.

Friederike Butt1,2, David F Locher1,2, Katharina Brechtelsbauer3

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This study introduces a measurement-free quantum error correction (QEC) toolbox for universal quantum computing. It combines code switching and concatenation for robust logical gates, offering a scalable pathway for quantum processors.

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Area of Science:

  • Quantum Computing
  • Quantum Information Science
  • Error Correction

Background:

  • Quantum error correction (QEC) is crucial for reliable large-scale quantum algorithms.
  • Current QEC protocols often rely on error-prone measurements and feed-forward operations.
  • Existing codes lack intrinsic support for universal quantum computation.

Purpose of the Study:

  • To develop a fault-tolerant universal quantum computing toolbox.
  • To eliminate the need for measurements during algorithm execution.
  • To provide a practical and scalable solution for quantum processors.

Main Methods:

  • Combining code switching and concatenation strategies.
  • Developing fault-tolerant, measurement-free protocols for information transfer between 2D and 3D color codes.
  • Extending the scheme to higher-distance codes via concatenation and code switching.

Main Results:

  • A complete toolbox for measurement-free universal quantum computing.
  • Complementary and universal sets of robust logical gates using 2D and 3D color codes.
  • Fault-tolerant protocols for operations lacking native implementations.

Conclusions:

  • The proposed measurement-free approach offers a practical and scalable pathway for universal quantum computing.
  • This method addresses experimental demands and error rates associated with measurement-based QEC.
  • Enables robust logical operations essential for advanced quantum algorithms.