Efficient Bayesian credible-region certification for quantum-state tomography
C. Oh, Y. S. Teo, H. Jeong
备注：
18 pages, 15 figures, new discussion on correlations, a more general Monte Carlo algorithm for arbitrary prior distributions, and high-dimensional plots
Standard Bayesian credible-region theory for constructing an error region on the unique estimator of an unknown state in general quantum-state tomography to calculate its size and credibility relies on heavy Monte~Carlo sampling of the state space followed by sample rejection. This conventional method typically gives negligible yield for very small error regions originating from large datasets. We propose an operational reformulated theory to compute both size and credibility from region-average quantities that in principle convey information about behavior of these two properties as the credible-region changes. We next suggest the accelerated hit-and-run Monte~Carlo sampling, customized to the construction of Bayesian error-regions, to efficiently compute region-average quantities, and provide its complexity estimates for quantum states. Finally by understanding size as the region-average distance between two states in the region (measured for instance with either the Hilbert-Schmidt, trace-class or Bures distance), we derive approximation formulas to analytically estimate both distance-induced size and credibility under the pseudo-Bloch parametrization without resorting to any Monte~Carlo computation.
No-cost Bell nonlocality certification from quantum tomography and its applications in quantum-magic-resource witnessing
University of Gdańsk（格但斯克大学）；International Centre for Theory of Quantum Technologies, University of Gdańsk（格但斯克大学量子技术理论国际中心）；Max Planck Institute for Quantum Optics（马克斯·普朗克量子光学研究所）；Faculty of Physics, Ludwig Maximilian University（慕尼黑大学物理学院）；Munich Center for Quantum Science and Technology（慕尼黑量子科学与技术中心）
Quantum State Certification via Effective Parent Hamiltonians from Local Measurement Data
École de technologie supérieure, Université du Québec（魁北克大学高等技术学院）；Department of Electrical and Computer Engineering, McGill University（麦吉尔大学电气与计算机工程系）；QMill Oy（QMill公司）；Department of Mathematics, University of Toronto（多伦多大学数学系）；Escuela de Ingenieria y Ciencias, Tecnologico de Monterrey（蒙特雷理工学院工程与科学学院）
Theory-agnostic nonclassicality certification in an integrated photonic circuit
University of Gdańsk（格但斯克大学）；Griffith University（格里菲斯大学）；Sapienza Università di Roma（罗马大学）；Sparrow Quantum（麻雀量子）；Perimeter Institute for Theoretical Physics（理论物理柏拉图研究所）；Consiglio Nazionale delle Ricerche（意大利国家研究委员会）；Politecnico di Milano（米兰理工大学）
Centre for Quantum Technologies（量子技术中心）；Nanyang Technological University（南洋理工大学）；School of Electrical and Electronic Engineering, Nanyang Technological University（南洋理工大学电气与电子工程学院）；Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University（南洋理工大学物理与数学科学学院物理与应用物理系）；Weifang University（潍坊学院）；Singapore University of Technology and Design（新加坡科技设计大学）；Universität Siegen（锡根大学）
Experimental preparation of $W$ states through frustration on a programmable quantum simulator
Università degli Studi di Padova（帕多瓦大学）；INFN, Sezione di Padova（意大利国家核物理研究所帕多瓦分部）；Institut Ruđer Bošković（鲁德·博什科维奇研究所）；Harvard University（哈佛大学）；Indiana University（印第安纳大学）；Institut Jožef Stefan（约瑟夫·斯蒂芬研究所）
