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title
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2025-12-14 04:40:49
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The ZX-calculus Home Tutorial Publications The ZX Seminar Accessibility Map PyZX Demo The ZX-calculus The ZX-calculus is a graphical language that goes beyond circuit diagrams. It ‘splits the atom’ of well-known quantum logic gates to reveal the compositional structure inside. The calculus works by generalising the ideas of Z and X operations, allowing us to break out of the circuit model while maintaining soundness of reasoning. In doing so we can show properties of circuits, entanglement states, and protocols, in a visually succinct but logically complete manner. The ZX-calculus is forging the next generation of quantum software. Using the calculus gives optimisation strategies that performs state-of-the-art T-count reduction (an important metric for fault-tolerant computing) and gate compilation. The gener...
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