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Linear-Optical Quantum Computation with Arbitrary Error-Correcting Codes.

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This study introduces a new linear-optical architecture for generating essential quantum entanglement, improving high-rate quantum error-correcting codes for fault-tolerant quantum computers.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Error Correction

Background:

  • Fault-tolerant quantum computers require high-rate quantum error-correcting codes.
  • Efficient generation of nonlocal, many-body entanglement is crucial for these codes.
  • Leveraging physical noise bias can enhance quantum error correction.

Purpose of the Study:

  • To present a novel linear-optical architecture for generating nonlocal, many-body entanglement.
  • To demonstrate compatibility with arbitrary quantum error-correcting codes and Gottesman-Kitaev-Preskill (GKP) qubits.
  • To enable the utilization of physical noise bias in quantum error correction.

Main Methods:

  • Development of a linear-optical architecture.
  • Compatibility testing with arbitrary codes and GKP qubits on generic lattices.
  • Simulations of hyperbolic surface codes and bivariate bicycle codes.

Main Results:

  • The proposed architecture efficiently generates nonlocal, many-body entanglement.
  • It is compatible with arbitrary codes and GKP qubits on generic lattices.
  • Simulations show a quantum error correction threshold comparable to the 2D surface code.
  • Substantially improved encoding rates were achieved for hyperbolic surface codes and bivariate bicycle codes.

Conclusions:

  • The developed linear-optical architecture is a significant advancement for high-rate quantum error correction.
  • It offers a practical method for generating the necessary entanglement for fault-tolerant quantum computing.
  • The architecture shows promise for improving the efficiency and performance of quantum error-correcting codes, particularly quantum low-density parity-check codes.