Encoding Error Correction in an Integrated Photonic Chip

Integrated photonics provides a versatile platform for encoding and processing quantum information. However, the encoded quantum states are sensitive to noise, which limits their capability to perform complicated quantum computations. Here, we use a five-qubit linear cluster state on a silicon photonic chip to implement a quantum error-correction code and demonstrate its capability of identifying and correcting a single-qubit error. The encoded quantum information is reconstructed from a single-qubit error and an average state fidelity of 0.863 +/- 0.032 is achieved for different input states. We further extend the scheme to demonstrate a fault-tolerant measurement-based quantum computation (MBQC) on stabilizer formal-ism that allows us to redo the qubit operation against the failure of the teleportation process. Our work provides a proof-of-concept working prototype of error correction and MBQC in an integrated photonic chip.

Automated summary

In this study, a quantum error-correction code is implemented on a silicon photonic chip using a five-qubit linear cluster state, showcasing its capability in identifying and correcting single-qubit errors. The reconstructed encoded quantum information achieves a high average state fidelity. Furthermore, the study extends the scheme to demonstrate fault-tolerant measurement-based quantum computation on stabilizer formalism.