Magic State Distillation is considered to be one of the promising methods for supplying the non-Clifford resources required to achieve universal fault tolerance. Conventional MSD protocols implemented in surface codes often require multiple code blocks and lattice surgery rounds, resulting in substantial qubit overhead, especially at low target error rates.
In this work, we present practical magic state distillation factories on Bivariate Bicycle (BB) codes that execute Pauli-measurement-based Clifford circuits inside a single BB code block. We formulate distillation circuit design as a joint optimization of logical qubit mapping, gate scheduling, measurement nativization, and protocol compression via qubit recycling. Based on detailed resource analysis and simulations, our BB factories have space-time volume comparable to that of leading distillation factories while delivering lower target error at a smaller qubit footprint, and are particularly compelling as second-round distillers following magic state cultivations.
Fast and Parallel High-Rate STAR Architecture for Megaquop Quantum Simulation
QuEra Computing Inc.(QuEra计算公司);Harvard University(哈佛大学);Center for Theoretical Physics - a Leinweber Institute, Massachusetts Institute of Technology(麻省理工学院莱恩韦伯理论物理中心);Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology(麻省理工学院电气与计算机工程系)
Theory and Architecture of Syndrome-Resolved Logical Gates
The University of Tokyo(东京大学);IBM Quantum, IBM T.J. Watson Research Center(IBM量子,IBM托马斯·J·沃森研究中心);National Center for Computational Sciences, Oak Ridge National Laboratory(国家计算科学中心,橡树岭国家实验室)
Classification of Generalised Triorthogonal Codes through Length 54
Massachusetts Institute of Technology(麻省理工学院);IBM Research, IBM T. J. Watson Research Center(IBM 研究院,IBM T.J. 沃森研究中心);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)