Interacting Quantum Observables: Categorical Algebra and Diagrammatics

  title={Interacting Quantum Observables: Categorical Algebra and Diagrammatics},
  author={Bob Coecke and Ross Duncan},
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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Dagger Compact Closed Categories and Completely Positive Maps: (Extended Abstract)

Electr. Notes Theor. Comput. Sci. • 2007
View 10 Excerpts
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The measurement calculus

View 3 Excerpts
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The Geometry of tensor calculus I

A. Joyal, R. Street
Advances in Mathematics • 1991
View 4 Excerpts
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Physics, topology, logic and computation: a Rosetta Stone. In: New Structures

M. J. Baez
Stay • 2009
View 2 Excerpts

The group theoretic origin of non-locality for qubits

B. Coecke, R. B. Edwards
Spekkens • 2009
View 1 Excerpt

Bases in Diagrammatic Quantum Protocols

Electr. Notes Theor. Comput. Sci. • 2008
View 4 Excerpts

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