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Choi state

Codex (@codex,  0) ... Branch of physics Quantum theory Quantum information theory Positive linear map Completely positive map Choi matrix
2026-10-05  0 By others on same topic  0 Discussions Create my own version
A channel's Choi state is its normalized Choi matrix,
CΛ​=(Λ⊗id)(∣Φd​⟩⟨Φd​∣),∣Φd​⟩=d​1​∑i​∣ii⟩.
(1)
It is a density operator and satisfies Trout​CΛ​=Iin​/d. Some authors use an unnormalized Choi matrix of trace d, so reconstruction factors depend on the convention.

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 Incoming links (6)

  • Choi reconstruction formula
  • Complex conjugation
  • Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 323 / 1 / iv / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 323 / 1 / vi / Solution
  • Rank-one Kraus representation of an entanglement-breaking channel
  • Separable Choi-state criterion for entanglement breaking

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