古特里特
物理
可见的
光学(聚焦)
量子
操作员(生物学)
冯·诺依曼建筑
理论物理学
量子力学
量子系统
量子测量
统计物理学
经典力学
纯数学
量子纠缠
数学
光学
生物化学
化学
抑制因子
转录因子
基因
作者
Yan Zhao,Zhihua Guo,Lingxuan Feng,Shunlong Luo,Tsung-Lin Lee
标识
DOI:10.1016/j.physleta.2024.129314
摘要
Overlap between quantum states or observables is a fundamental quantity in quantum theory. Equioverlapping measurements arise naturally when considering quantum measurements with equal overlap between measurement operators. This is essentially a kind of symmetric configuration for quantum measurements. The conventional von Neumann measurements and symmetric informationally complete positive operator valued measures (SIC-POVMs) are two extreme cases of equioverlapping measurements. These measurements not only have intuitive physical significance, but also have rich and subtle mathematical structures. However, they remain largely unexplored. In this work, we investigate some general features of equioverlapping measurements with focus on qutrit systems (i.e., three dimensional systems), and partially classify equioverlapping measurements in this case. We further pose the challenge of complete classification and construction of equioverlapping measurements.
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