Construct · 1 fields · 1 citations

Gleason's theorem: a standalone construct

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Quantum information science

the theorem that any probability measure on the closed subspaces of a Hilbert space of dimension at least three takes the Born-rule form of a density operator.

In quantum information science, Gleason's theorem refers to the theorem that any probability measure on the closed subspaces of a Hilbert space of dimension at least three takes the Born-rule form of a density operator. This meaning comes from Gleason (1957) in Indiana University Mathematics Journal.[1]

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closed3 fields · 3 citationsjingle · one word, three constructs density4 fields · 6 citationsjingle · one word, four constructs dimension4 fields · 5 citationsjingle · one word, four constructs

References

Gleason, A. (1957). Measures on the Closed Subspaces of a Hilbert Space. Indiana University Mathematics Journal, 6(4), 885-893. https://doi.org/10.1512/iumj.1957.6.56050

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