std::bodun::blog
PhD student at University of Texas at Austin 🤘. Doing systems for ML.
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Unitary Matrix
Recently, I was trying to get the hang of quantum computing. I found myself in a position where I forgot most of the linear algebra stuff I’ve learned in past semesters. So again, I decide to put them down in hope that some of the knowledge here will stay in my memory a bit longer.
General single-qubit Gates
Trying to understand unitary matrix in the context of pure linear algebra is, I must admit, rather boring. Perhaps that is one reason why I brushed them off so quickly and so easily. However, explaining it in the context of quantum computing feels a lot more fun. Maybe it’s because I can associate a unitary matrix with a quantum gate, which is something a bit more concrete, or simply because the term ‘‘quantum computing’’ makes me sound smarter.
Speaking of something concrete, here ara two example unitary matrices: the NOT gate (\(X\)) and Hadamard gate (\(H\)):
\[ X =\begin{bmatrix} 0 & 1...
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