@inproceedings{fe50aed1ff664ee98ade52acc6fcce1d,
title = "Quantum Computing Chip with Error-Correction Encoding",
abstract = "We design and fabricate a quantum photonic circuit to implement a quantum error correction code. A single logical qubit is encoded with 4 physical qubits to demonstrate its capability of detecting and correcting a single-bit error with an average state fidelity of 86%. We further extend the scheme to demonstrate a fault-tolerant teleportation process.",
author = "Lingxiao Wan and Hui Zhang and Huihui Zhu and Kwek, {Leong Chuan} and Liu, {Ai Qun}",
note = "Funding Information: Figure 2a is the real part of the density matrix for a 3-qubit GHZ state with a fidelity of F = 0.8524 ± 0.0141. In Figure 2b, an average fidelity of F¯ = 0.8630 is achieved for states reconstructed from errors with error correction encoding. Initial logical qubits are prepared as |H/V 〉 , |D/A〉 , |R/L〉 and errors are simulated at qubit 1 (E1, blue bars) or qubit 3 (E3, yellow bars). Figure 2c is the expectation values of stabilizer 〈S1〉 and 〈S3〉 to identify the error types at qubit 1. Figure 2d and 2e are the real parts of density matrix for reconstructed state |L2〉 in fault-tolerant quantum teleportation. We assume the error happens at 2nd qubit or 4th qubit, which breaks the initial quantum teleportation process, and rebuild the quantum teleportation channel |L2〉 between the remaining qubits. 4. Summary In conclusion, an error correction scheme implemented on a photonic integrated circuit has been demonstrated to protect a single quantum logic bit with 4 physical qubits. We show the information on a logical qubit can be reconstructed with a single qubit error and achieve an average fidelity of 0.86. We also use this encoding scheme to identify the error types by measuring the expectation values of the stabilizers. Finally, we extend it to the idea of fault-tolerant one-way quantum computation by rebuilding the quantum channels for teleportation. The error correction scheme is potentially used to reduce the error rate and pave the way for universal quantum computation. 5. Acknowledgment This work was supported by the Singapore Ministry of Education (MOE) Tier 3 grant (MOE2017-T3-1-001), the Singapore National Research Foundation (NRF) National Natural Science Foundation of China (NSFC) joint grant (NRF2017NRF-NSFC002-014). Publisher Copyright: {\textcopyright} Optica Publishing Group 2022, {\textcopyright} 2022 The Author(s); 2022 Conference on Lasers and Electro-Optics, CLEO 2022 ; Conference date: 15-05-2022 Through 20-05-2022",
year = "2022",
month = may,
language = "English",
series = "2022 Conference on Lasers and Electro-Optics, CLEO 2022 - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
booktitle = "2022 Conference on Lasers and Electro-Optics, CLEO 2022 - Proceedings",
}