The stabilizer ground state and applications to quantum simulation
School of Science, Huzhou University（湖州学院理学院）；New York University Shanghai（纽约大学上海分校；纽约大学上海NYU-ECNU物理研究所）；NYU-ECNU Institute of Physics at NYU Shanghai（华东师范大学物理与材料科学学院精密光谱科学国家重点实验室）；State Key Laboratory of Precision Spectroscopy, School of Physical and Material Sciences, East China Normal University（纽约大学阿布扎比分校NYUAD研究院量子与拓扑系统中心）；Center for Quantum and Topological Systems (CQTS), NYUAD Research Institute, New York University Abu Dhabi（纽约大学物理系）；Department of Physics, New York University
Yuping Mao, Chang Chen, Jiaxing Feng, Yimeng Mao, Tim Byrnes
The stabilizer ground state is defined is the lowest energy stabilizer state with respect to a given Hamiltonian. In many cases it is highly degenerate and does not give a unique stabilizer state. We define the optimal stabilizer ground state as the stabilizer ground state which has the highest fidelity with the true ground state. This is useful in quantum simulation contexts as it allows for a Clifford circuit approximation of a ground state that can be further refined towards the true ground state. We show how the optimal stabilizer ground state may be evaluated. We show applications of this state in the context of measurement-based deterministic imaginary time evolution (MITE), which converges to the ground state with high efficiency. By classically selecting the optimal stabilizer generator group and employing the stabilizer tableaux formalism, the method prepares the corresponding stabilizer ground state with maximal fidelity. The identification and refinement of this generator group are performed using a genetic algorithm tailored to the structure of the target Hamiltonian. The complexity analysis further demonstrates that algorithm's quantum resource cost scales polynomially with system size, highlighting its high efficiency and potential quantum advantage.
Further improvements to stabilizer simulation theory: classical rewriting of CSS-preserving stabilizer circuits, quadratic form expansions of stabilizer operations, and framed hidden variable models
Steklov Mathematical Institute of Russian Academy of Sciences（俄罗斯科学院斯特克洛夫数学研究所）；Russian Quantum Center（俄罗斯量子中心）；Moscow Institute of Physics and Technology（莫斯科物理技术学院）；National University of Science and Technology “MISIS”（国立科技大学“米西斯”）
Federal University of Rio Grande do Norte（北里奥格兰德联邦大学）；International Institute of Physics, Federal University of Rio Grande do Norte（北里奥格兰德联邦大学国际物理研究所）；Technical University of Denmark（丹麦技术大学）；Institute of Physics, Federal University of Goiás（戈亚斯联邦大学物理研究所）；School of Science and Technology, Federal University of Rio Grande do Norte（北里奥格兰德联邦大学科学技术学院）
Phase-sensitive representation of Majorana stabilizer states
Institute of Physical and Theoretical Chemistry, University of Würzburg（维尔茨堡大学物理与理论化学研究所）；Division of Chemistry and Chemical Engineering, California Institute of Technology（加州理工学院化学与化学工程系）
Reduced-State Stabilizer Rényi Entropy as a Probe of Quantum Criticality in the Transverse ANNNI Model and the Quantum Compass Model
National Institute of Technology Sikkim（锡金国家技术学院）；Tamkang University（淡江大学）；Hon Hai Research Institute（鸿海研究院）；National Center for Theoretical Sciences（国家理论科学中心）
Reduced State Stabilizer Rényi Entropy as a Probe of Quantum Phase Transitions in Frustrated J_1-J_2 Spin Models
Tamkang University（淡江大学）；National Institute of Technology Sikkim（锡金国立技术学院）；Hon Hai Research Institute（鸿海研究院）；National Center for Theoretical Sciences（国家理论科学中心）
Stabilizer-based quantum simulation of fermion dynamics with local qubit encodings
IBM Quantum, IBM Research Europe - Zurich（IBM量子，IBM欧洲苏黎世研究中心）；Institute for Theoretical Physics, ETH Zürich（苏黎世联邦理工学院理论物理研究所）；Institute of Physics, École Polytechnique Fédérale de Lausanne (EPFL)（洛桑联邦理工学院物理研究所）
SymFT: Universal Fault-Tolerant Quantum Circuit Simulation via Symbolic Clifford--Pauli Frames and Stabilizer Coordinates
University of Edinburgh（爱丁堡大学）；Arclight Quantum Computing Inc.（Arclight量子计算公司）；Institute of Computing Technology, Chinese Academy of Sciences（中国科学院计算技术研究所）
Complexity of frustration: a new source of non-local non-stabilizerness
Ruđer Bošković Institute（鲁德·博什科维奇研究所）；QOLS, Blackett Laboratory, Imperial College London（帝国理工学院布莱克特实验室量子光学与激光科学组）；Dipartimento di Fisica Ettore Pancini, Università degli Studi di Napoli Federico II（那不勒斯费德里科二世大学埃托雷·潘奇尼物理系）；Physics Department, University of Massachusetts Boston（马萨诸塞大学波士顿分校物理系）；INFN, Sezione di Napoli（意大利国家核物理研究院那不勒斯分部）
