Lukas' Notes

Hilbert Space

May 01, 20261 min read

linear-algebra

Definition

Hilbert Space

A Hilbert space H is a real or complex vector space that is equipped with an inner product ⟨⋅,⋅⟩H​ and is complete w.r.t. to the norm induced by that inner product.


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Backlinks

  • 192.036 Introduction to Quantum Computing
  • Euclidean Space
  • Kernel Function
  • Kernel Method
  • Kernel Perceptron
  • L2 Space
  • Mercer's Conditions
  • Parseval's Identity
  • Physical System
  • Riesz Representation Theorem
  • Superposition (Quantum Computing)

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