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the claim
Infinite-dimensional Hilbert spaces are required in physics to describe systems with continuous degrees of freedom.
the verdict
SUPPORTED
the evidence backs this
confidence 85/100

Infinite-dimensional Hilbert spaces are standard mathematical structures used to analyze and describe physical systems possessing continuous degrees of freedom, such as continuous-variable quantum systems and quantum fields.

Evidence for · 3
Quantum information processing in phase space: A modular variables approach
2015 · cited by 41
Discusses how binary quantum information can be encoded using states defined in infinite-dimensional Hilbert spaces to handle continuous degrees of freedom.
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More for · 2
Quantum computation of SU(2) lattice gauge theory with continuous variables
2024 · cited by 14
Uses continuous variables to represent the infinite-dimensional Hilbert space of gauge fields in SU(2) lattice gauge theory.
Bosonic Quantum Computational Complexity
2024 · cited by 4
Lays foundations for quantum complexity theory involving physical systems with continuous degrees of freedom over infinite-dimensional Hilbert spaces.
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first checked01 Aug 2026
judged → SUPPORTED · 8501 Aug 2026
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