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Rewriting measurement-based quantum computations with generalised flow

Duncan, Ross and Perdrix, Simon (2010) Rewriting measurement-based quantum computations with generalised flow. In: Automata, languages and programming. Lecture Notes in Computer Science . Springer, pp. 285-296. ISBN 9783642141614

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We present a method for verifying measurement-based quantum computations, by producing a quantum circuit equivalent to a given deterministic measurement pattern. We define a diagrammatic presentation of the pattern, and produce a circuit via a rewriting strategy based on the generalised flow of the pattern. Unlike other methods for translating measurement patterns with generalised flow to circuits, this method uses neither ancilla qubits nor acausal loops.