论文标题
量子可观察到的误差扰动和局部表示的不确定性关系的普遍表述
A Universal Formulation of Uncertainty Relation for Error-Disturbance and Local Representability of Quantum Observables
论文作者
论文摘要
给定量子不确定性，量子测量及其不可避免的观察者效应的量子不确定性的普遍表述被提出，并额外关注给定状态的量子可观察力的表示。该框架的操作切实性确保了由此产生的一般关系承认自然的操作解释和特征，因此也许最重要的是它们的实验性验证性。鉴于普遍的表述，海森伯格的不确定性原则的原始哲学，通常在他著名的伽玛 - 射线显微镜gedankenexperiment中得到了例证；它被重新制定并作为一种精致的无关定理，尽管形式可能比最初预期的弱。从本质上讲，这种关系与特殊案例的推论有关，包括以前已知的关系，其中包括标准的肯纳德·罗伯逊（Kennard-Robertson）关系，亚瑟·凯利·古德曼（Arthurs-Kelly-Goodman）的联合测量以及Ozawa和Ozawa和Watanabe-Sagawa-Sagawa-decorthera-the Watanabe-Sagawa-ureda关系。
A universal formulation of the quantum uncertainty regarding quantum indeterminacy, quantum measurement, and its inevitable observer effect is presented with additional focus on the representability of quantum observables over a given state. The operational tangibility of the framework assures that the resultant general relations admit natural operational interpretations and characterisations, and thereby perhaps most importantly, their experimental verifiability. In view of the universal formulation, Heisenberg's original philosophy of the uncertainty principle, most typically exemplified in his famous gamma-ray microscope Gedankenexperiment, is revisited; it is reformulated and restated as a refined no-go theorem, albeit perhaps in a weaker form than was originally intended. The relations entail, in essence as corollaries to their special cases, several previously known relations, including most notably the standard Kennard-Robertson relation, the Arthurs-Kelly-Goodman relations for joint measurement as well as the Ozawa and the Watanabe-Sagawa-Ueda relations for error and error-disturbance.
