Tailoring Fusion-Based Error Correction for High Thresholds to Biased Fusion Failures

Area of Science:

• Quantum computing
• Quantum error correction
• Quantum information science

Background:

• Quantum computations are susceptible to errors from noise and decoherence.
• Existing quantum error correction codes often require complex architectures and high fidelity operations.
• Fault-tolerant architectures are crucial for building scalable quantum computers.

Purpose of the Study:

• To introduce novel fault-tolerant architectures for quantum error correction.
• To specifically address noise affecting two-qubit Pauli measurements (fusions) in XZZX cluster states.
• To enhance the practicality of quantum error correction in linear optical quantum computing.

Main Methods:

• Utilizing XZZX cluster states as a resource for quantum error correction.
• Performing measurements of two-qubit Pauli operators (Z⊗Z and X⊗X) on entangled states.
• Developing a construction tailored to correct faulty X⊗X measurements.

Main Results:

• Demonstrated fault-tolerant architectures effective against dominant X⊗X measurement errors.
• Achieved a record-high threshold for fusion failures exceeding 25% in linear optical quantum computing.
• Showcased simplified hardware requirements due to the robustness of the proposed scheme.

Conclusions:

• The proposed fault-tolerant architectures offer significant advantages for quantum error correction.
• The high tolerance to fusion failures makes this approach practical for current quantum computing platforms.
• This work paves the way for more robust and scalable quantum information processing.