Loss tolerance in one-way quantum computation via counterfactual error correction

Area of Science:

• Quantum Information Science
• Quantum Computing
• Quantum Error Correction

Background:

• Cluster state computation is a key resource for measurement-based quantum computing.
• Qubit loss and leakage errors are significant challenges in scaling quantum computations.
• Existing error correction methods often require complex coherent operations.

Purpose of the Study:

• To introduce a novel fault-tolerant scheme for cluster state computation.
• To address the challenge of high qubit loss rates in quantum systems.
• To develop a passive error correction strategy requiring no coherent measurements.

Main Methods:

• Development of a passive, adaptive measurement strategy.
• Implementation of counterfactual reasoning to infer measurement outcomes.
• Analysis of fault tolerance against up to 50% qubit loss.

Main Results:

• The proposed scheme tolerates up to 50% qubit loss in cluster state computation.
• The method relies on adaptive measurements, avoiding the need for coherent corrections.
• Counterfactual error correction is demonstrated as an effective strategy for leakage errors.

Conclusions:

• This work presents a significant advancement in robust quantum computation.
• The counterfactual error correction scheme offers a practical approach to mitigate qubit loss.
• The passive nature of the scheme simplifies implementation in future quantum devices.