OAI/Analysis/KadisonKastler/UnitaryStateTransition.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

State defects of transitions between two comparing unitaries

Two unitaries carrying the same state close to a prescribed state differ by a unitary with small state commutator. These quantitative identities are used to compare their actions on bicentralizer elements.

  1. theorem OAI.KadisonKastler.sandwich_unitary_inverse_defect_norm line 20
  2. theorem OAI.KadisonKastler.sandwich_unitary_transition_norm line 33
  3. theorem OAI.KadisonKastler.vectorStateCommutator_norm_eq_sandwich line 51
  4. theorem OAI.KadisonKastler.unitary_state_transition_defect line 75