`RSHilbertSpace`

definition

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module: IndisputableMonolith.Quantum.HilbertSpace
domain: Quantum
line: 14 · github
papers citing: none yet

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IndisputableMonolith.Quantum.HilbertSpace on GitHub at line 14.

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formal source

  11namespace IndisputableMonolith.Quantum
  12
  13/-- A separable Hilbert space structure -/
  14class RSHilbertSpace (H : Type*) extends
  15  SeminormedAddCommGroup H,
  16  InnerProductSpace ℂ H,
  17  CompleteSpace H,
  18  TopologicalSpace.SeparableSpace H
  19
  20/-- Normalized state (unit vector) -/
  21structure NormalizedState (H : Type*) [RSHilbertSpace H] where
  22  vec : H
  23  norm_one : ‖vec‖ = 1
  24
  25end IndisputableMonolith.Quantum

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