Last Updated :2025/11/29

Gleason's theorem

Proper noun
Japanese Meaning
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
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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。

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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.

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Gleason's theorem

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.

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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.

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