Improved Error Thresholds for Measurement-Free Error Correction.

Area of Science:

• Quantum computing
• Quantum error correction
• Neutral atom qubits

Background:

• Limitations and capabilities of neutral atom qubits necessitate advanced error correction.
• Existing quantum error correction schemes face challenges in achieving practical error thresholds.

Purpose of the Study:

• To investigate measurement-free error correction for neutral atom qubits.
• To determine if this approach can yield practical error thresholds.
• To enhance fault tolerance in quantum computations.

Main Methods:

• Extraction of redundant syndrome information for enhanced fault tolerance.
• Elimination of ancilla verification through a novel procedure.
• Simulations of the bit-flip, Bacon-Shor, and Steane codes.

Main Results:

• Coherent error correction achieved threshold error rates between 10^-3 and 10^-4.
• Performance is comparable to or surpasses measurement-based error correction.
• Outperforms previous coherent error correction schemes.

Conclusions:

• Measurement-free coherent error correction is a viable strategy for neutral atom qubits.
• This method provides significant fault tolerance and practical error thresholds.
• Protected logical qubits can be achieved through this advanced error correction technique.