The effect of boundaries on the bulk properties of quantum many-body systems is an intriguing subject of study. One can define a boundary effect function, which quantifies the change in the ground state as a function of the distance from the boundary. This function serves as an upper bound for the correlation functions and the entanglement entropies in the thermodynamic limit. Here, we perform numerical analyses of the boundary effect function for one-dimensional free-fermion models. We find that the upper bound established by the boundary effect fuction is tight for the examined systems, providing a deep insight into how correlations and entanglement are developed in the ground state as the system size grows. As a by-product, we derive a general fidelity formula for fermionic Gaussian states in a self-contained manner, rendering the formula easier to apprehend.
Weakly interacting fermionic Gibbs states are Gaussian mixtures and classically simulable
Yau Mathematical Sciences Center, Tsinghua University（清华大学丘成桐数学科学中心）；State Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua University（清华大学物理系低维量子物理国家重点实验室）
Fermionic entropy: an efficiently measurable strong monotone for non-Gaussianity
Università degli Studi di Salerno（萨莱诺大学）；INFN, Sezione di Napoli, Gruppo Collegato di Salerno（意大利国家核物理研究所，那不勒斯分部，萨莱诺协作组）；Freie Universität Berlin（柏林自由大学）
Robust exponential lower bounds for fermionic and bosonic Gaussian ranks
Yau Mathematical Sciences Center, Tsinghua University（清华大学丘成桐数学科学中心）；Qiuzhen College, Tsinghua University（清华大学求真学院）；Department of Mathematics, Tsinghua University（清华大学数学系）；Yanqi Lake Beijing Institute of Mathematical Sciences and Applications（北京雁栖湖应用数学研究院）
Testing bosonic and fermionic Gaussian states with a constant number of copies
CWI（荷兰数学与计算机科学研究中心）；QuSoft（QuSoft量子计算中心）；University of Leiden（莱顿大学）；Department of Computer Science, University of Warwick（华威大学计算机科学系）；LMU Munich（慕尼黑大学）；MCQST（慕尼黑量子科学与技术中心）；University of Amsterdam（阿姆斯特丹大学）
Fermionic non-Gaussianity via Bell sampling: monotones and efficient quantum algorithms
Technical University of Munich（慕尼黑工业大学）；TUM School of Natural Sciences, Physics Department（自然科学与工程学院物理系）；Munich Center for Quantum Science and Technology (MCQST)（慕尼黑量子科学与技术中心）
Optimal and improved gate decompositions for accelerated classical simulation of near-Gaussian fermionic circuits
Phasecraft Ltd（Phasecraft有限公司）；Department of Mathematics, School of Computation, Information and Technology, Technical University of Munich（慕尼黑工业大学计算、信息与技术学院数学系）；Munich Center for Quantum Science and Technology（慕尼黑量子科学与技术中心）
Dynamical complexity of non-Gaussian many-body systems with dissipation
Max-Planck-Institut für Quantenoptik（马克斯·普朗克量子光学研究所）；Munich Center for Quantum Science and Technology (MCQST)（慕尼黑量子科学与技术中心）；Joint Quantum Institute, NIST/University of Maryland（美国国家标准与技术研究院/马里兰大学联合量子研究所）；Joint Center for Quantum Information and Computer Science, NIST/University of Maryland（美国国家标准与技术研究院/马里兰大学联合量子信息与计算机科学中心）
Freie Universität Berlin（柏林自由大学）；Technology Innovation Institute (TII)（技术创新研究所）；Tsinghua University（清华大学）；Helmholtz-Zentrum Berlin für Materialien und Energie（亥姆霍兹柏林材料能源中心）
High-Temperature Fermionic Gibbs States are Mixtures of Gaussian States
Institute for Quantum Information and Matter, California Institute of Technology（加州理工学院量子信息物质研究所）；Division of Physics, Mathematics, and Astronomy, California Institute of Technology（加州理工学院物理、数学与天文学部）；Department of Electrical Engineering, California Institute of Technology（加州理工学院电气工程系）；Department of Computing and Mathematical Sciences, California Institute of Technology（加州理工学院计算与数学科学系）；Department of Mathematics, Duke University（杜克大学数学系）；Department of Electrical and Computer Engineering, Duke University（杜克大学电气与计算机工程系）；Duke Quantum Center, Duke University（杜克大学量子中心）
Practical Tests and Witnesses of Fermionic non-Gaussianity
Quantum Research Center, Technology Innovation Institute（技术革新研究所量子研究中心）；Institut für Theoretische Physik, Universität zu Köln（科隆大学理论物理研究所）；Barcelona Supercomputing Center（巴塞罗那超级计算中心）
Perimeter Institute for Theoretical Physics；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）；Institute for Quantum Computing (IQC), University of Waterloo（滑铁卢大学量子计算研究所）
Fermionic non-Gaussianity via computable measures and experimentally accessible bounds
Pitaevskii BEC Center, CNR-INO and Dipartimento di Fisica, Università di Trento（庞塔夫斯基玻色-爱因斯坦凝聚中心，意大利国家研究委员会光学研究所和特伦托大学物理系）；INFN-TIFPA, Trento Institute for Fundamental Physics and Applications（INFN-TIFPA，特伦托基础物理与应用研究所）
An asymmetry lower bound on fermionic non-Gaussianity
SISSA and INFN（的里雅斯特国际高等研究院和意大利国家核物理研究所）；Dipartimento di Fisica e Astronomia, Università di Bologna and INFN, Sezione di Bologna（博洛尼亚大学物理与天文学系及意大利国家核物理研究所博洛尼塞分部）；Universitè Paris-Saclay, CNRS, LPTMS（巴黎萨克雷大学、法国国家科学研究中心和理论物理实验室）
Non-Local Magic Resources for Fermionic Gaussian States
Scuola Superiore Meridionale（南方高等学院）；INFN Sezione di Napoli（那不勒斯国家核物理研究所）；Institut für Theoretische Physik, Universität zu Köln（科隆大学理论物理研究所）；Dipartimento di Fisica e Astronomia, Università di Bologna and INFN, Sezione di Bologna（博洛尼亚大学物理与天文系及博洛尼亚国家核物理研究所）；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）
