Interacting Quantum Observables: Categorical Algebra and Diagrammatics

@article{Coecke2009InteractingQO,
  title={Interacting Quantum Observables: Categorical Algebra and Diagrammatics},
  author={Bob Coecke and Ross Duncan},
  journal={CoRR},
  year={2009},
  volume={abs/0906.4725}
}
Within an intuitive diagrammatic calculus and corresponding highlevel category-theoretic algebraic description we axiomatise complementary observables for quantum systems described in finite dimensional Hilbert spaces, and study their interaction. We also axiomatise the phase shifts relative to an observable. The resulting graphical language is expressive enough to denote any quantum physical state of an arbitrary number of qubits, and any processes thereof. The rules for manipulating these… CONTINUE READING
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