English Dictionary

Gleason's theorem

固有名詞

A mathematical theorem, important for quantum logic, proving that the Born rule for the probability of obtaining specific results for a given measurement follows naturally from the structure formed by the lattice of events in a real or complex Hilbert space.

日本語の意味

量子論的論理において重要な数学的定理であり、実数または複素数のヒルベルト空間内の事象の格子構造から、与えられた測定に対して特定の結果が得られる確率、すなわちボルン則が自然に導かれることを証明する定理

Gleason's theorem shows that the Born rule for quantum measurement probabilities follows naturally from the lattice structure of events in a real or complex Hilbert space.

グリーソンの定理は、実または複素ヒルベルト空間における事象の格子構造から、量子測定の確率を与えるボルン則が自然に導かれることを示す。

意味（1）

A mathematical theorem, important for quantum logic, proving that the Born rule for the probability of obtaining specific results for a given measurement follows naturally from the structure formed by the lattice of events in a real or complex Hilbert space.