论文标题
在局部可表示下错误的不确定性关系的普遍表述
A Universal Formulation of Uncertainty Relation for Errors under Local Representability
论文作者
论文摘要
提出了量子测量的不确定性关系的普遍表述，并附加着重于给定状态上经典可观察物的量子可观察物的代表性。由于框架的简单性和操作性切性，由此产生的一般关系承认了自然的操作解释和特征，因此也可以在实验上验证。鉴于普遍的表述，海森堡的不确定性原则哲学也得到了重新审视。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。实际上，这种关系本质上是作为特殊案例的推论的，包括以前已知的关系，包括最著名的是亚瑟·凯利 - 古德曼，奥扎瓦和渡边 - 萨戈瓦 - 瓦瓦 - 萨川 - 瓦拉瓦 - 及量子的关系。 Schr {Ö} Dinger关系（因此，当测量不明智的情况下，标准的Kennard-Robertson关系也作为其微不足道的推论）也被证明是一种特殊情况。
A universal formulation of uncertainty relations for quantum measurements is presented with additional focus on the representability of quantum observables by classical observables over a given state. Owing to the simplicity and operational tangibility of the framework, the resultant general relations admit natural operational interpretations and characterisations, and are thus also experimentally verifiable. In view of the universal formulation, Heisenberg's philosophy of the uncertainty principle is also revisited; it is reformulated and restated as a refined no-go theorem, albeit perhaps in a weaker form than was originally intended. In fact, the relations entail, in essence as corollaries to their special cases, several previously known relations, including most notably the Arthurs-Kelly-Goodman, Ozawa, and Watanabe-Sagawa-Ueda relations for quantum measurements. The Schr{ö}dinger relation (hence the standard Kennard-Robertson relation as its trivial corollary as well) is also shown to be a special case when the measurement is non-informative.
