标题： 重建玻尔对EPR的回应：代数量子理论视角 显示英文标题

标题： Reconstructing Bohr's Reply to EPR in Algebraic Quantum Theory

摘要： 哈尔沃森和克利夫顿曾给出玻尔对爱因斯坦、波多尔斯基和罗森（EPR）的回复的一种数学重构，并论证了这一回复是由描述实验数据的经典性和客观性两个要求所决定的，通过证明他们提出的客观性要求与霍华德在其早期对玻尔回复分析中引入的EPR现实标准的上下文版本之间的一致性来实现。 在本文中，我们以一种相当初等的证明方式，将上述一致性定理推广到适用于非相对论量子力学和代数量子场论的EPR态的一般表述；并且在代数量子理论的一般表述中，我们用玻尔关于经典性和客观性的要求澄清了EPR态中的现实要素。 显示英文摘要

摘要： Halvorson and Clifton have given a mathematical reconstruction of Bohr's reply to Einstein, Podolsky and Rosen (EPR), and argued that this reply is dictated by the two requirements of classicality and objectivity for the description of experimental data, by proving consistency between their objectivity requirement and a contextualized version of the EPR reality criterion which had been introduced by Howard in his earlier analysis of Bohr's reply. In the present paper, we generalize the above consistency theorem, with a rather elementary proof, to a general formulation of EPR states applicable to both non-relativistic quantum mechanics and algebraic quantum field theory; and we clarify the elements of reality in EPR states in terms of Bohr's requirements of classicality and objectivity, in a general formulation of algebraic quantum theory.