Circuit pedantry

Andreas Blass; Yuri Gurevich

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arXiv · 1910.06145

Circuit pedantry

Andreas Blass·Yuri Gurevich

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Abstract

Boolean and quantum circuits have commonalities and differences. To formalize the syntactical commonality we introduce syntactic circuits where the gates are black boxes. Syntactic circuits support various semantics. One semantics is provided by Boolean circuits, another by quantum circuits. Quantum semantics is a generalization of Boolean but, because of entanglement, the generalization is not straightforward. We consider only unitary quantum circuits here.

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Andreas Blass, Yuri Gurevich. 2019-10-14. Circuit pedantry. https://arxiv.org/abs/1910.06145

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