A Qutrit Quantum Error-Correcting Code with a Transversal Binary AND Gate
Christine Li and Lia Yeh · 2025 · International Conference on Quantum Computing and Engineering
| 编号 QE073 | 主题 小码与早期码 | 链接 10.1109/qce65121.2025.10440 |
摘要
摘要保留原文（英文）
摘要取自 arXiv / 出版方元数据，未作翻译，以保证与原文一致。
Quantum computation and error correction in higher dimensional systems offer a promising route to more efficient and robust codes and circuits, compared to qubits. In this work, we present a novel qutrit quantum error correcting code with a transversal implementation of the binary AND gate. The key insight in our approach is that we can interpret a symmetric T-depth one circuit decomposition — composed of a CX circuit, and gates, followed by the CX circuit in reverse — as a distance 1 CSS code. We thereafter increase the code distance by augmenting the code circuit with additional stabilizers while preserving the “built-in” transversal logical binary AND. As a result, we can leverage qutrit Clifford+T circuit synthesis to combine the advantages of quantum error correction and qudits, and moreover protect against leakage errors to higher levels.
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