Tutorial : Graphical calculus for quantum circuits

Coecke, Bob and Duncan, Ross (2013) Tutorial : Graphical calculus for quantum circuits. In: Reversible Computation. Lecture Notes in Computer Science, 7581 . Springer, Berlin, pp. 1-13. ISBN 9783642363146

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Abstract

We explain the graphical zx-calculus for reasoning about qubits without any reference to the underlying categorical semantics, and illustrate its use on quantum circuits.