A long-standing challenge in quantum computing is developing technologies to overcome the inevitable noise in qubits. To enable meaningful applications in the early stages of fault-tolerant quantum computing, devising methods to suppress post-correction logical failures is becoming increasingly crucial. In this work, we propose and experimentally demonstrate the application of zero-noise extrapolation, a practical quantum error mitigation technique, to error correction circuits on state-of-the-art superconducting processors. By amplifying the noise on physical qubits, the circuits yield outcomes that exhibit a predictable dependence on noise strength, following a polynomial function determined by the code distance. This property enables the effective application of polynomial extrapolation to mitigate logical errors. Our experiments demonstrate a universal reduction in logical errors across various quantum circuits, including fault-tolerant circuits of repetition and surface codes. We observe a favorable performance in multi-round error correction circuits, indicating that this method remains effective when the circuit depth increases. These results advance the frontier of quantum error suppression technologies, opening a practical way to achieve reliable quantum computing in the early fault-tolerant era.
Noise-Agnostic Unbiased Quantum Error Mitigation for Logical Qubits
Graduate School of China Academy of Engineering Physics（中国工程物理研究院研究生院）；International Center for Elementary Particle Physics, University of Tokyo（东京大学基础粒子物理国际中心）；Department of Applied Physics, University of Tokyo（东京大学应用物理系）
Qedma Quantum Computing（Qedma 量子计算）；The Benin School of Computer Science and Engineering, Hebrew University（希伯来大学本因计算机科学与工程学院）；Faculty of Mathematics and Computer Science, Weizmann Institute of Science（魏茨曼科学研究所数学与计算机科学系）；Department of Physics, Technion（以色列理工学院物理系）
Error Mitigation From a Single Unmodified Error-Corrected Circuit
Qedma Quantum Computing（Qedma量子计算）；The Benin School of Computer Science and Engineering, Hebrew University（希伯来大学本计算机科学与工程学院）；Faculty of Mathematics and Computer Science, Weizmann Institute of Science（魏茨曼科学研究所数学与计算机科学系）；Department of Physics, Technion（以色列理工学院物理系）
Probabilistic Error Cancellation for Single-Mode Gottesman-Kitaev-Preskill Codes
Institute for Quantum Computing Analytics (PGI-12), Forschungszentrum Jülich（于利希研究中心量子计算分析研究所）；Theoretical Physics, Universität des Saarlandes（萨尔兰州立大学理论物理）；Forschungszentrum Jülich（于利希研究中心）
Characterizing physical and logical errors in a transversal CNOT via cycle error reconstruction
The University of Sydney（悉尼大学）；Universität Innsbruck（因斯布鲁克大学）；University of Waterloo（滑铁卢大学）；Institute for Quantum Computing, University of Waterloo（滑铁卢大学量子计算研究所）；RWTH Aachen University（亚琛工业大学）；Forschungszentrum Jülich（于利希研究中心）；Alpine Quantum Technologies GmbH（阿尔卑斯量子技术有限公司）
Demonstration of High-Fidelity Entangled Logical Qubits using Transmons
University of Southern California（南加州大学）；Quantum Elements, Inc.（量子元素公司）；IBM Quantum（IBM量子）；RWTH Aachen University（亚琛工业大学）；Forschungszentrum Jülich（于利希研究中心）
Physics-Inspired Extrapolation for efficient error mitigation and hardware certification
LG Electronics Toronto AI Lab（LG电子多伦多人工智能实验室）；Instituto de Física Fundamental IFF-CSIC（基础物理研究所（西班牙科学理事会下属））；Instituto Tecnológico de Galicia（加利西亚理工学院）；LG Electronics, AI Lab, CTO Div（LG电子，人工智能实验室，首席技术官部门）
Converting qubit relaxation into erasures with a single fluxonium
Quantum Science Center of Guangdong-Hong Kong-Macao Greater Bay Area（粤港澳大湾区量子科学中心）；Beijing Academy of Quantum Information Sciences（北京量子信息科学研究院）；Hefei National Laboratory（合肥国家实验室）
Beyond Logical Circuits: Hardware-Aware Analysis of Expressibility and Trainability in Variational Quantum Algorithms
Division of Engineering, New York University Abu Dhabi (NYUAD)（纽约大学阿布扎比分校工程学院）；Center for Quantum and Topological Systems (CQTS), NYUAD Research Institute, NYUAD（纽约大学阿布扎比分校研究院量子与拓扑系统中心）
