The Standard Gate Set

Below is a summary of the key gates used in tweedledum

Name(s)		Symbol	tweedledum symbol	Matrix
Identity		I	gate_set::identity	\(\pmatrix{1&0 \\ 0&1}\)
Hadamard		H	gate_set::hadamard	\(\frac{1}{\sqrt{2}}\pmatrix{1&1 \\ 1&-1}\)
Arbitrary rotations
X Rotation		Rx	gate_set::rotation_x	\(\pmatrix{\cos\frac\theta2 & -\mathrm{i}\sin\frac\theta2 \\ -\mathrm{i}\sin\frac\theta2 & \cos\frac\theta2}\)
Y Rotation		Ry	gate_set::rotation_y
Z Rotation		Rz	gate_set::rotation_z	\(\pmatrix{e^{-\mathrm{i}\theta}&0 \\ 0&e^{\mathrm{i}\theta}}\)
Named Rotations
Pauli X, NOT		X	gate_set::pauli_x	\(\pmatrix{0&1 \\ 1&0}\)
T		T	gate_set::t	\(\pmatrix{1&0 \\ 0&e^{\mathrm{i}\frac\pi4}}\)
T dagger		T†	gate_set::t_dagger
Phase		S	gate_set::phase	\(\pmatrix{1&0 \\ 0&\mathrm{i}}\)
Phase dagger		S†	gate_set::phase_dagger
Pauli Z, Phase flip		Z	gate_set::pauli_z	\(\pmatrix{1&0 \\ 0&-1}\)
Controlled gates
Control NOT		CNOT	gate_set::cx	\(\pmatrix{1&0&0&0 \\ 0&1&0&0 \\ 0&0&0&1 \\ 0&0&1&0}\)
Control Z		CZ	gate_set::cz	\(\pmatrix{1&0&0&0 \\ 0&1&0&0 \\ 0&0&1&0 \\ 0&0&0&-1}\)
Multiple Control NOT, Toffoli			gate_set::mcx
Multiple Control Z			gate_set::mcz