ICFO-Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology（光子科学研究所，巴塞罗那科学与技术研究院）；ICREA-Institució Catalana de Recerca i Estudis Avançats（加泰罗尼亚研究高级学院）
We present a relaxation-based method to bound expectation values on the steady state of dissipative many-body quantum systems described by master equations of the Lindblad form. Instead of targeting to represent the entire state, we promote the reduced density matrices to our variables and enforce the constraints that are imposed on them by consistency with a global steady state. The resulting constraints have the form of a semidefinite program, which allows us to efficiently bound the values a given expectation value can take in the steady state. Our results show fast convergence of the bounds with the size of the reduced density matrices, giving very competitive predictions for the steady state of several one- and two-dimensional models for an arbitrary number of particles.
Polynomial-time certification of fidelity for many-body mixed states and mixed-state universality classes
Max Planck Institute of Quantum Optics（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）；Perimeter Institute for Theoretical Physics（理论物理前沿研究所）
Experimental certification of multipartite Bell correlations using only few-body symmetric correlations
East China Normal University（华东师范大学）；National University of Singapore（新加坡国立大学）；Universiteit Leiden（莱顿大学）；Sun Yat-sen University（中山大学）；Quantum Science Center of Guangdong–Hong Kong–Macao Greater Bay Area (Guangdong)（粤港澳大湾区量子科学中心（广东））
Many-Body Non-Hermitian Skin Effect with Exact Steady States in the Dissipative Quantum Link Model
Institute for Advanced Study, Tsinghua University（清华大学高等研究院）；Max Planck Institute for the Physics of Complex Systems（马克斯·普朗克复杂系统物理研究所）；Department of Physics, Princeton University（普林斯顿大学物理系）
Generation and read-out of many-body Bell correlations with a probe qubit
Qilimanjaro Quantum Tech（奇力马扎罗量子技术）；ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology（ICFO-光子科学研究所，巴塞罗那科学技术研究院）；Faculty of Physics, University of Warsaw（华沙大学物理学院）
Bootstrapping Open Quantum Many-body Systems with Absorbing Phase Transitions
University of Chicago（芝加哥大学）；Boston University（波士顿大学）；University of Oxford（牛津大学）；University of Montenegro（黑山大学）；Fudan University（复旦大学）；Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS)（上海数学与交叉学科研究院）
Certifying steady-state properties of open quantum systems
ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology（ICFO-光子科学研究所，巴塞罗那科学与技术学院）；Physics Department E. Pancini - Università degli Studi di Napoli Federico II（那不勒斯费德里科二世大学E. Pancini物理系）
Scalable Ground-State Certification of Quantum Spin Systems via Structured Noncommutative Polynomial Optimization
State Key Laboratory of Mathematical Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences（中国科学院数学与系统科学研究院）；ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology（巴塞罗那科技研究所光科学中心）；Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-PSL Research University, Collège de France（索邦大学卡斯特勒-布罗塞尔实验室）；Inria Paris-Saclay（巴黎萨克雷国家信息与自动化研究所）；LAAS-CNRS & Institute of Mathematics from Toulouse（图卢兹数学研究所）；ICREA - Institució Catalana de Recerca i Estudis Avançats（加泰罗尼亚研究与高等教育局）
Dissipative Stabilization of Floquet-Engineered Many-Body Order
Boston University（波士顿大学）；Harvard University（哈佛大学）；University of Maryland, College Park（马里兰大学帕克分校）；Joint Quantum Institute, NIST/University of Maryland（NIST/马里兰大学联合量子研究所）
Bounding many-body properties under partial information and finite measurement statistics
ICFO - Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology（ICFO-光子科学研究所，巴塞罗那科学与技术研究院）；Qilimanjaro Quantum Tech.（基利曼贾罗量子技术公司）；ICREA - Institució Catalana de Recerca i Estudis Avançats（ICREA-加泰罗尼亚高级研究学院）；Physics Department E. Pancini, Università degli Studi di Napoli Federico II（那不勒斯费德里科二世大学E. Pancini物理系）；Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Napoli（意大利国家核物理研究所（INFN）那不勒斯分部）
Finite steady-state current defies non-Hermitian many-body localization
University of Vienna（维也纳大学）；Technical University of Munich（慕尼黑工业大学）；Munich Center for Quantum Science and Technology (MCQST)（慕尼黑量子科学与技术中心）；Institute of Science and Technology Austria（奥地利科学与技术研究所）；Max Planck Institute for the Science of Light（马克斯·普朗克光科学研究所）；Max Planck Institute for the Physics of Complex Systems（马克斯·普朗克复杂系统物理研究所）
Steady-state phases in long-range measurement-only quantum circuits
Homer L. Dodge Department of Physics and Astronomy, The University of Oklahoma（霍默·L·道奇物理与天文系，俄克拉荷马大学）；Center for Quantum Research and Technology, The University of Oklahoma（量子研究与技术中心，俄克拉荷马大学）
Nonclassical Many-Body Superradiant States with Interparticle and Spin-Momentum Entanglement
JILA and Department of Physics, University of Colorado（科罗拉多大学物理系与JILA）；Theoretische Physik, Universität des Saarlandes（萨尔兰州立大学理论物理学）；Physikalisches Institut, University of Bonn（波恩大学物理研究所）
