Fermionic ansatz state preparation is a critical subroutine in many quantum algorithms such as Variational Quantum Eigensolver for quantum chemistry and condensed matter applications. The shallowest circuit depth needed to prepare Slater determinants and correlated states to date scale at least linearly with respect to the system size $N$. Inspired by data-loading circuits developed for quantum machine learning, we propose an alternate paradigm that provides shallower, yet scalable ${\mathcal{O}}(d \log_2^2N)$ two-qubit gate depth circuits to prepare such states with d-fermions, offering a subexponential reduction in $N$ over existing approaches in second quantization, enabling high-accuracy studies of $d{\ll}{\mathcal{O}}{\left(N / \log_2^2 N\right)}$ fermionic systems with larger basis sets on near-term quantum devices.
$σ$-VQE: Excited-state preparation of quantum many-body scars with shallow circuits
Center for Nonlinear and Complex Systems, Dipartimento di Scienza e Alta Tecnologia, Università degli Studi dell’Insubria（因苏布里亚大学科学与技术系非线性与复杂系统中心）；Istituto Nazionale di Fisica Nucleare, Sezione di Milano（意大利国家核物理研究所米兰分部）；Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC), UIB–CSIC（巴利阿里群岛大学-西班牙国家研究委员会交叉物理学与复杂系统研究所）
Numerical Bayesian quantum-state assignment for a three-level quantum system. II. Average-value data with a constant, a Gaussian-like, and a Slater prior
QKAN: quantum Kolmogorov-Arnold networks with applications in machine learning and multivariate state preparation
Centre for Quantum Technologies, National University of Singapore（新加坡国立大学量子技术中心）；Department of Information Technology and Electrical Engineering, ETH Zürich（苏黎世联邦理工学院信息技术与电气工程系）；Mathematical Institute, University of Oxford（牛津大学数学研究所）；Department of Computer Science, National University of Singapore（新加坡国立大学计算机系）
Initial state preparation for quantum chemistry on quantum computers
Technical University of Munich（慕尼黑工业大学）；Sungkyunkwan University（成均馆大学）；SKKU Advanced Institute of Nanotechnology (SAINT), Sungkyunkwan University（成均馆大学SKKU纳米技术高级研究所(SAINT)）；Institute of Quantum Biophysics, Sungkyunkwan University（成均馆大学量子生物物理研究所）
Low-Depth Initial-State Preparation for Ground-State Energy Estimation of Two-Dimensional Strongly Correlated Systems
Graduate School of Engineering Science, The University of Osaka（大阪大学工学研究科）；Graduate School of Informatics, Kyoto University（京都大学情报学府）；Center for Quantum Information and Quantum Biology, The University of Osaka（大阪大学量子信息与量子生物学中心）；Center for Quantum Computing, RIKEN（理化学研究所量子计算中心）
Practical Log-Depth Quantum State Preparation and Circuit Verification via Tree Tensor Network Compilation
University College London（伦敦大学学院）；Centre for Computational Science, Department of Chemistry, University College London（伦敦大学学院化学系计算科学中心）；Advanced Research Computing Centre, University College London（伦敦大学学院高级计算研究中心）；Informatics Institute, University of Amsterdam（阿姆斯特丹大学信息学研究所）
Scalable high-fidelity and near-deterministic preparation of large photon-number states
College of Physics, Nanjing University of Aeronautics and Astronautics（南京航空航天大学物理学院）；China Mobile (Suzhou) Software Technology Co., Ltd.（中国移动（苏州）软件技术有限公司）
Circuit complexity lower bounds for quantum spin glasses
Broad Institute of MIT and Harvard（麻省理工学院和哈佛学院博德研究所）；Operations Research Center and Center for Statistics and Data Sciences, IDSS, Massachusetts Institute of Technology（麻省理工学院运筹学中心与统计与数据科学中心IDSS）
Preparation of Hamming-Weight-Preserving Quantum States with Log-Depth Quantum Circuits
State Key Lab of Processors, Institute of Computing Technology, Chinese Academy of Sciences（中国科学院计算技术研究所处理器重点实验室）；School of Computer Science and Technology, University of Chinese Academy of Sciences（中国科学院大学计算机科学与技术学院）；Shandong University（山东大学）
The University of Hong Kong（香港大学）；HK Institute of Quantum Science & Technology（香港量子科学研究所）；Freie Universität Berlin（柏林自由大学）；Dahlem Center for Complex Quantum Systems, Freie Universität Berlin（柏林自由大学达勒姆复杂量子系统中心）；Helmholtz-Zentrum Berlin für Materialien und Energie（柏林亥姆霍兹材料与能源中心）
Scalable Quantum State Preparation via Large-Language-Model-Driven Discovery
School of Physics, Peking University（北京大学物理学院）；Center for High Energy Physics, Peking University（北京大学高能物理中心）；Institute of High Energy Physics, Chinese Academy of Sciences（中国科学院高能物理研究所）；Center of Advanced Quantum Studies, School of Physics and Astronomy, Beijing Normal University（北京师范大学物理天文学院先进量子研究中心）；Key Laboratory of Multi-scale Spin Physics, Ministry of Education, Beijing Normal University（北京师范大学教育部多尺度自旋物理重点实验室）
