A note on diagonal gates in SZX-calculus
Titouan Carette
TL;DR
This paper demonstrates how the scalable ZXH calculus can compactly represent various diagonal quantum gates, including controlled, multi-controlled, and phase gadgets, using graph and hypergraph operators.
Contribution
It introduces a method to represent diagonal gates in the SZX-calculus, enhancing the compactness and expressiveness of quantum gate representations.
Findings
Efficient representation of controlled and multi-controlled Z gates.
Unified framework for phase gadgets and hypergraph operators.
Potential for simplifying quantum circuit analysis.
Abstract
This note describes how the the scalable ZXH calculus can be used to represent in a compact way the quantum gates that are diagonal in the computational basis. This includes controlled and multi-controlled Z gates, their generalizations, respectively graph and hypergraph operators, and also phase gadgets.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum Information and Cryptography · Quantum Mechanics and Applications