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Answer by Craig Gidney for Does the ZX calculus allow for Y-axis rotations?

The ZX calculus doesn't have a Y rotation nodes. All Y rotations must be decomposed into a series of X and Z rotations.The reason for this asymmetry comes down to the fact that $Y \neq Y^T$ whereas...

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Answer by R.W for Does the ZX calculus allow for Y-axis rotations?

First important fact about ZX-calculus: it is universal.Theorem (informal, van de Wetering, 2020): Every complex matrix of size $2^n \times 2^m$ for some $n$ and $m$ can be represented in the...

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Does the ZX calculus allow for Y-axis rotations?

I'm trying to understand how Y-axis rotations are represented in ZX Calculus. In the paper, wikipedia, everywhere I look, it's as if there is no such thing as Y-axis rotations, only X and Z.I...

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