Hilbert space
noun
Hil·bert space
ˈhil-bərt- 
: a vector space for which a scalar product is defined and in which every Cauchy sequence composed of elements in the space converges to a limit in the space
Examples of Hilbert space in a Sentence
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Because quantum matter lives in this exponentially large Hilbert space.
—
Steven Strogatz, Quanta Magazine, 3 May 2023
Its Hilbert space consists of all possible combinations of amplitudes in the two locations.
—Charlie Wood, Quanta Magazine, 26 Sep. 2022
Instead it is found in a 4-D mathematical entity called a Hilbert space.
—Davide Castelvecchi, Scientific American, 8 Feb. 2022
This is most clear with the many-worlds interpretation of quantum mechanics, which says that the world is described by a state in a Hilbert space evolving according to the Schrodinger equation and that's it.
—Sean Carroll, Discover Magazine, 4 June 2012
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Steven Strogatz, Quanta Magazine, 3 May 2023
Its Hilbert space consists of all possible combinations of amplitudes in the two locations.
—Charlie Wood, Quanta Magazine, 26 Sep. 2022
Instead it is found in a 4-D mathematical entity called a Hilbert space.
—Davide Castelvecchi, Scientific American, 8 Feb. 2022
This is most clear with the many-worlds interpretation of quantum mechanics, which says that the world is described by a state in a Hilbert space evolving according to the Schrodinger equation and that's it.
—Sean Carroll, Discover Magazine, 4 June 2012
Cite this Entry
“Hilbert space.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/Hilbert%20space. Accessed 23 Jul. 2025.
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