Suppose N parties describe the state of a quantum system by N possibly different density operators. These N state assignments represent the beliefs of the parties about the system. We examine conditions for determining whether the N state assignments are compatible. We distinguish two kinds of procedures for assessing compatibility, the first based on the compatibility of the prior beliefs on which the N state assignments are based and the second based on the compatibility of predictive measurement probabilities they define. The first procedure leads to a compatibility criterion proposed by Brun, Finkelstein, and Mermin [BFM, Phys. Rev. A 65, 032315 (2002)]. The second procedure leads to a hierarchy of measurement-based compatibility criteria which is fundamentally different from the corresponding classical situation. Quantum mechanically none of the measurement-based compatibility criteria is equivalent to the BFM criterion.
Compatibility of state assignments and pooling of information
我们说同一个量子系统的两个（或多个）态分配是相容的，如果它们可以表示具有不同系统信息的观察者的分配。在[Phys. Rev. A 65，032315（2002）]中提出了一个相容性的标准;然而，这留下了一个未回答的问题，即是否存在可以由某种定量度量表示的相容性程度，以及是否存在一个简单的过程，使观察者可以汇集他们的信息以达到唯一的联合状态分配。我们认为，这样的措施是明智的，只有给予一些假设，什么样的信息被用于在第一个地方的状态分配，并在一般的状态分配不代表所有的观察员所拥有的信息。然而，我们检查一个特定的措施，并表明它有一个简单的解释，假设信息是从一个特定类型的测量，并在这种情况下，有一个自然的规则汇集信息。我们将这一措施，k个观察员的状态的兼容性，并表明该值是一个半定规划的解决方案。类似的兼容性度量可以被定义用于状态兼容性的替代概念，包括后Peierls（PP）和相等支持（ES）兼容性。
Quantum Readiness in Latin American High Schools: Curriculum Compatibility and Enabling Conditions
Universidad de Ingeniería y Tecnología Lima, Perú（利马工程技术大学）；Colegio Trilce Los Olivos Lima, Perú（特鲁西洛奥利沃斯学院）；Colegio Mayor Secundario Presidente del Perú Lima, Perú（秘鲁总统高级中学）；Universidad Peruana de Ciencias Aplicadas Lima, Perú（秘鲁应用科学大学）；University of Maryland Maryland, USA（马里兰大学）
