Methods for modeling large driven dissipative quantum systems are becoming increasingly urgent due to recent experimental progress in a number of photonic platforms. We demonstrate the positive-P method to be ideal for this purpose across a wide range of parameters, focusing on the archetypal driven dissipative Bose-Hubbard model. Notably, these parameters include intermediate regimes where interactions and dissipation are comparable, and especially cases with low occupations for which common semiclassical approximations can break down. The presence of dissipation can alleviate instabilities in the method that are known to occur for closed systems, allowing the simulation of dynamics up to and including the steady state. Throughout the parameter space of the model, we determine the magnitude of dissipation that is sufficient to make the method useful and stable, finding its region of applicability to be complementary to that of truncated Wigner. We then demonstrate its use in a number of examples with nontrivial quantum correlations, including a demonstration of solving the urgent open problem of large and highly non-uniform systems with even tens of thousands of sites.
Scalable dissipative quantum error correction for qubit codes
ETH Zürich（苏黎世联邦理工学院）；Yale Quantum Institute, Yale University（耶鲁量子研究所，耶鲁大学）；Institute for Quantum Electronics, ETH Zürich（苏黎世联邦理工学院量子电子研究所）；Quantum Center, ETH Zürich（苏黎世联邦理工学院量子中心）；Fraunhofer Institute for Applied Solid State Physics IAF（弗劳恩霍夫应用固体物理研究所）
1-Mbps Twin-Field Quantum Key Distribution over 200 km Using Independent Dissipative Kerr Solitons
University of Science and Technology of China（中国科学技术大学）；Jinan Institute of Quantum Technology（济南量子技术研究院）；Hefei National Laboratory（合肥国家实验室）；International Quantum Academy（国际量子科学院）；Shenzhen Futian SUSTech Institute for Quantum Technology and Engineering（深圳福田南方科技大学量子技术与工程研究院）
Variational quantum simulation of many-body dissipative dynamics on a superconducting quantum processor
Institute of Artificial Intelligence, Hefei Comprehensive National Science Center（合肥综合性国家科学中心人工智能研究院）；University of Science and Technology of China（中国科学技术大学）；Origin Quantum Computing Technology (Hefei) Co., Ltd.（本源量子计算科技（合肥）股份有限公司）；Tsinghua University（清华大学）；Yanqi Lake Beijing Institute of Mathematical Sciences and Applications（北京雁栖湖应用数学研究院）
Chiral Entangled-State Generation through Dissipative Quantum Dynamics
Southeast University（东南大学）；Institute of Physics, Chinese Academy of Sciences（中国科学院物理研究所）；Université de Strasbourg（斯特拉斯堡大学）；Anhui University（安徽大学）；University of Science and Technology of China（中国科学技术大学）
May a dissipative environment be beneficial for quantum annealing?
讨论了全连接铁磁$ p $-自旋模型在低温耗散环境中的量子退火。这个模型，在大的$ p $限制，编码在其基态的解决方案的格罗弗的问题，在未排序的数据库中搜索。在量子线路模型的框架中，量子算法已知用于此任务，相对于其最佳经典对应物提供二次加速。这种改进在孤立量子处理器的绝热量子计算中无法恢复。我们分析了同样的问题，在低温水库的存在下，使用马尔可夫量子主方程的Lindblad形式，我们表明，在适度耦合到量子退火的零温度环境的存在下，实现了热增强。
A Robust Method for Estimating the Lindblad Operators of a Dissipative Quantum Process from Measurements of the Density Operator at Multiple Time Points
Entanglement Hamiltonians in dissipative free fermions and the time-dependent GGE
SISSA（的里雅斯特高等研究学院）；INFN Sezione di Trieste（意大利国家核物理研究所的里雅斯特分部）；Dipartimento di Fisica dell’Università di Pisa（比萨大学物理系）；INFN Sezione di Pisa（意大利国家核物理研究所比萨分部）
Dissipative preparation and stabilization of d-mode multinomial cat states
Institute for Quantum Materials and Technology, Karlsruhe Institute of Technology（卡尔斯鲁厄理工学院量子材料与技术研究所）；Institute for Theory of Condensed Matter, Karlsruhe Institute of Technology（卡尔斯鲁厄理工学院凝聚态理论研究所）；Institut de Science et d’Ingénierie Supramoléculaires (ISIS, UMR7006), University of Strasbourg and CNRS（斯特拉斯堡大学及法国国家科学研究中心超分子科学与工程研究所）
Quantum Filtering and Stabilization of Dissipative Quantum Systems via Augmented Neural Ordinary Differential Equations
School of Science, Harbin Institute of Technology, Shenzhen（哈尔滨理工大学深圳学院）；Shenzhen Key Laboratory of Advanced Functional Carbon Materials Research and Comprehensive Application（深圳市先进功能碳材料研究与综合应用重点实验室）
Hybrid cat-transmon architecture for scalable, hardware-efficient quantum error correction
AWS Center for Quantum Computing（亚马逊量子计算中心）；IQIM, California Institute of Technology（加州理工学院量子信息科学研究所）；Thomas J. Watson, Sr., Laboratory of Applied Physics, California Institute of Technology（加州理工学院托马斯·J·沃森Sr.应用物理实验室）
