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Linear-Optical Quantum Computation with Arbitrary Error-Correcting Codes
Blayney W Walshe1, Ben Q Baragiola1,2, Hugo Ferretti1
1Xanadu Quantum Technologies Inc., Toronto, Ontario, Canada.
Physical Review Letters
|March 28, 2025
Summary
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.
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.
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