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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Decoding quantum errors with subspace expansions.

Jarrod R McClean1, Zhang Jiang2, Nicholas C Rubin2

  • 1Google Inc., 340 Main Street, Venice, CA, 90291, USA. jmcclean@google.com.

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|February 2, 2020
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Summary
This summary is machine-generated.

This study introduces a simplified quantum error correction method using post-processing decoders. This approach enables practical quantum applications on near-term devices without complex hardware requirements.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Error Correction

Background:

  • Rapid advancements in quantum hardware necessitate practical applications.
  • Fully fault-tolerant quantum computers are not yet available, but intermediate error correction methods may suffice.
  • Current quantum error correction often requires complex syndrome measurements and feed-forward mechanisms.

Purpose of the Study:

  • To explore post-processing error decoders for quantum codes as a simplified approach to error mitigation.
  • To reduce the experimental overhead and complexity for implementing quantum error correction on near-term quantum devices.
  • To demonstrate the viability of this method for practical quantum applications.

Main Methods:

  • Developing the theoretical framework for post-processing error decoders.
  • Applying the method to the perfect [[5, 1, 3]] quantum code.
  • Simulating error mitigation on an unencoded hydrogen molecule.

Main Results:

  • The proposed method simplifies quantum error correction by eliminating the need for syndrome measurements and fast feed-forward.
  • The perfect [[5, 1, 3]] code demonstrates a pseudo-threshold of approximately 0.50 under a single qubit depolarizing channel.
  • Improved performance was observed for an unencoded hydrogen molecule simulation.

Conclusions:

  • Post-processing error decoders offer a practical pathway for utilizing quantum codes on near-term quantum hardware.
  • This simplified approach significantly lowers the experimental barrier for exploring quantum error correction.
  • The method shows promise for enhancing the performance of quantum computations, even for unencoded systems.