Erasure qubits reduce overhead in fault-tolerant quantum error correction (QEC) by converting dominant faults into detectable errors known as erasures. They have demonstrated notable improvements in thresholds and scaling in surface and Floquet code memories. In this work, we use erasure qubits on Bivariate Bicycle (BB) codes from the quantum low-density parity-check (QLDPC) regime. Owing to their sparse structure and favorable rate-distance trade-offs, BB codes are practical candidates for QEC. We introduce BiBiEQ, a novel framework that compiles a given BB code into an erasure-aware memory circuit C_E. This erasure circuit C_E comprises erasure checks (ECs), resets, and erasures spread over a user-specified erasure check schedule (2EC, 4EC). BiBiEQ converts this erasure circuit C_E into the stabilizer circuit C for general-purpose decoding. BiBiEQ provides two engines for this conversion, BiBiEQ-Exact and BiBiEQ-Approx. BiBiEQ-Exact preserves the joint-erasure correlations and serves as our accuracy benchmark, while BiBiEQ-Approx uses an independence approximation to accelerate large sweeps and expose accuracy-throughput trade-offs. Using BiBiEQ, we decode the stabilizer circuits to get a per-round logical error rate (LER) for the BB codes and quantify the effect of the EC schedules on the correctable operating region below the pseudo-threshold. The 4EC schedule keeps the accuracy of both engines close to one another, making BiBiEQ-Approx a reliable proxy for BiBiEQ-Exact for faster sweeps. Below the pseudo-threshold, the code distance (d) hop from distance (d) 6 to 10 yields a drop in LER by 10-17x larger than distance (d) 10 to 12, showing that most gains are realized by d=10.
Yale University（耶鲁大学）；Yale Quantum Institute, Yale University（耶鲁量子研究所，耶鲁大学）；IBM Quantum, T. J. Watson Research Center（IBM 量子，T.J.沃森研究中心）；School of Physics, University of Sydney（悉尼大学物理学院）；IBM Quantum, IBM Almaden Research Center（IBM 量子，IBM阿尔马登研究中心）；IBM Denmark（IBM丹麦）
Towards self-correcting quantum codes for neutral atom arrays
Department of Physics, University of Colorado, Boulder（科罗拉多大学博尔德分校物理系）；Center for Theory of Quantum Matter, University of Colorado, Boulder（科罗拉多大学博尔德分校量子物质理论中心）；Joint Quantum Institute & Joint Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park（马里兰大学帕克分校与国家标准与技术研究院联合量子研究所及联合量子信息与计算科学中心）；JILA, University of Colorado and National Institute of Standards and Technology, Boulder（科罗拉多大学与国家标准与技术研究院联合JILA实验室）
Machine Learning Decoding of Circuit-Level Noise for Bivariate Bicycle Codes
Massachusetts Institute of Technology（麻省理工学院）；Department of Physics, Massachusetts Institute of Technology（麻省理工学院物理系）；Department of Mathematics, Massachusetts Institute of Technology（麻省理工学院数学系）；Physics & Informatics Laboratories, NTT Research（NTT研究院物理与信息实验室）
University of California, Riverside（加州大学河滨分校）；Google Quantum AI（谷歌量子人工智能）；Department of Physics & Astronomy, University of California, Riverside（加州大学河滨分校物理与天文学系）
Metachecks in Bivariate Bicycle Codes: Syndrome Distance, Measurement Faults, and Repair Limits
Centre for Quantum Software and Information (QSI), School of Computer Science, University of Technology Sydney（悉尼科技大学计算机科学学院量子软件与信息中心）；School of Electrical Engineering and Telecommunications, University of New South Wales (UNSW)（新南威尔士大学电气与电信学院）
Demonstration of low-overhead quantum error correction codes
Zhejiang University（浙江大学）；Shanghai Qi Zhi Institute（上海人工智能实验室）；Tsinghua University（清华大学）；Harvard University（哈佛大学）；Xi'an Jiaotong University（西安交通大学）；Institute of Physics, Polish Academy of Sciences（波兰科学院物理研究所）；Hefei National Laboratory（合肥国家实验室）
Efficient foundation decoders for fault-tolerant quantum computing
College of Computing and Data Science, Nanyang Technological University, Singapore（南洋理工大学计算与数据科学学院）；Department of Electrical Engineering and Computer Science, Tokyo University of Agriculture and Technology, Koganei, Tokyo, Japan（东京农业与技术大学电气工程与计算机科学系）；School of Artificial Intelligence, Shanghai Jiao Tong University, Shanghai, China（上海交通大学人工智能学院）；Science, Mathematics and Technology Cluster, Singapore University of Technology and Design, Singapore（新加坡科技设计大学科学、数学与技术集群）；School of Physical and Mathematical Science, Nanyang Technological University, Singapore（南洋理工大学物理与数学科学学院）
Translation-invariant quantum low-density parity-check codes from compactified fracton models
University of California, Davis（加州大学戴维斯分校）；Joint Center for Quantum Information and Computer Science, NIST/University of Maryland（量子信息与计算科学联合中心，美国国家标准与技术研究院/马里兰大学）；School of Physics, The University of Sydney（悉尼大学物理学院）
Simple, Efficient, and Generic Post-Selection Decoding for qLDPC Codes
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）
Frequency-Multiplexed Parallel Gates for Quantum LDPC Codes in a Two-Dimensional Ion Crystal
Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University（清华大学交叉信息研究院量子信息中心）；Hefei National Laboratory（合肥国家实验室）；New Cornerstone Science Laboratory, Institute for Interdisciplinary Information Sciences, Tsinghua University（清华大学交叉信息研究院新基石科学实验室）
Joint Center for Quantum Information and Computer Science, NIST/University of Maryland（量子信息与计算联合中心，美国国家标准与技术研究院/马里兰大学）；Joint Quantum Institute, NIST/University of Maryland（联合量子研究所，美国国家标准与技术研究院/马里兰大学）；Department of Physics, University of Maryland（马里兰大学物理系）；Centre for Quantum Technologies, National University of Singapore（新加坡国立大学量子技术中心）；Nanyang Quantum Hub, School of Physical and Mathematical Sciences, Nanyang Technological University（南洋理工大学理学院南洋量子枢纽）；Quantum Research Center, Technology Innovation Institute（技术创新研究所量子研究中心）；Institute for Infocomm Research (I 2 R), Agency for Science, Technology and Research (A*STAR)（科技研究局信息通信研究所）；Quantum Innovation Centre (Q.InC), Agency for Science, Technology and Research (A*STAR)（科技研究局量子创新中心）；Institute of High Performance Computing (IHPC), Agency for Science, Technology and Research (A*STAR)（科技研究局高性能计算研究所）
Multivariate Multicycle Codes for Complete Single-Shot Decoding
Manning College of Information and Computer Sciences, University of Massachusetts Amherst（马萨诸塞大学阿默斯特分校曼宁信息与计算机科学学院）；Department of Mathematics and Statistics, University of Massachusetts Amherst（马萨诸塞大学阿默斯特分校数学与统计系）；Department of Physics, University of Massachusetts Amherst（马萨诸塞大学阿默斯特分校物理系）
