量子比特效应的共存
Coexistence of qubit effects
摘要：
两个量子事件，由正算子（效应）表示，如果它们可以在一个测量方案中作为可能的结果发生，则它们是共存的。等价地，相应的效应是共存的，当且仅当它们包含在单个（联合）可观察量的范围内。在这里，我们给出了共存的量子比特效应对的几个等价刻画。我们还建立了我们的结果和其他作者独立获得的结果之间的等价性。我们的方法明确使用闵可夫斯基空间几何固有的四维实向量空间的自伴算子在二维复希尔伯特空间。
英文摘要：
Two quantum events, represented by positive operators (effects), are coexistent if they can occur as possible outcomes in a single measurement scheme. Equivalently, the corresponding effects are coexistent if and only if they are contained in the ranges of a single (joint) observable. Here we give several equivalent characterizations of coexistent pairs of qubit effects. We also establish the equivalence between our results and those obtained independently by other authors. Our approach makes explicit use of the Minkowski space geometry inherent in the four-dimensional real vector space of selfadjoint operators in a two-dimensional complex Hilbert space.
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