For questions about the set of quantum gates that form a set of gates from which another gate can be produced; this set is analogous the classical set of universal gates (either a NOR gate or a NAND gate can produce any other gate). This tag, however, is not to be used for the classical set of universal gates; those questions are probably more appropriate on Computer Science SE.
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Given a decomposition for a unitary $U$, how do you decompose the corresponding controlled unitary gate $C(U)$?What is the mathematical justification for the “universality” of the universal set of quantum gates (CNOT, H, Z, X and π/8)?
How does approximating gates via universal gates scale with the length of the computation?
Shortest sequence of universal quantum gates that correspond to a given unitary
How can I see, without math, the action of a gate in matrix form?
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