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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 . Springer, pp. 1-13. ISBN 978-3-642-36314-6

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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.