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Fault-tolerant measurement-based quantum computing with continuous-variable cluster states.

Nicolas C Menicucci1

  • 1School of Physics, The University of Sydney, Sydney, New South Wales 2006, Australia.

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This summary is machine-generated.

Gaussian continuous-variable cluster states enable fault-tolerant quantum computation. With sufficient squeezing and error correction, quantum computations can achieve theoretically indefinite lengths.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing

Background:

  • A key challenge in quantum computation is achieving fault tolerance.
  • Continuous-variable cluster states are a promising resource for quantum computation.

Purpose of the Study:

  • To determine if Gaussian continuous-variable cluster states can support fault-tolerant quantum computation.
  • To identify the conditions required for fault tolerance.

Main Methods:

  • Analysis of error rates associated with finite squeezing in cluster states.
  • Application of known qubit-based error-correcting codes.
  • Utilizing ancilla-based error correction techniques.

Main Results:

  • A squeezing threshold of 20.5 dB was identified, below which errors remain below the fault-tolerance threshold.
  • Concatenation with error-correcting codes and ancilla correction enables fault tolerance.
  • The proposed method allows for theoretically indefinite computation length.

Conclusions:

  • Gaussian continuous-variable cluster states are capable of enabling fault-tolerant quantum computation.
  • Finite squeezing, when above a specific threshold, is compatible with fault tolerance.
  • This work paves the way for scalable quantum computation using continuous-variable systems.