How to Use Hilbert space in a Sentence
Hilbert space
noun-
The more dimensions there are, the more information these Hilbert spaces can encode.
—
Matt Von Hippel,
Quanta Magazine,
19 Nov. 2025
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That’s all well and good, but our Universe isn’t well-described as a physical Hilbert space, so that isn’t a compelling argument.
—
Ethan Siegel,
Big Think,
8 Aug. 2025
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Shaghoulian observed that this split was analogous to the kind that enlarges the Hilbert spaces of topological field theories.
—
Matt Von Hippel,
Quanta Magazine,
19 Nov. 2025
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In this case, the number of possible states is unlimited, and so its Hilbert space is infinite-dimensional.
—
Matt Von Hippel,
Quanta Magazine,
19 Nov. 2025
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Topological field theories can also have one-dimensional Hilbert spaces.
—
Matt Von Hippel,
Quanta Magazine,
19 Nov. 2025
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Hilbert spaces, named for the early-20th-century mathematician David Hilbert, account for different quantum states by adding new mathematical dimensions.
—
Matt Von Hippel,
Quanta Magazine,
19 Nov. 2025
Some of these examples are programmatically compiled from various online sources to illustrate current usage of the word 'Hilbert space.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.
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