Qn	QuosCode	QuosPict1	QuosPict2	Wn	Names	WikiPicture	WikiPictAlt	Qubits	MatrixString
1	0				Qubit in state 0
2	1				Qubit in state 1
3	I			1	I Identity No-op			1	1 0 0 1
4	T			16	T Phase gate T Pi/8 gate P pi/4 Fourth root of Z			1	1 0 0 e^iπ/4
5	Ph			2	Ph Phase (e^id)I Global phase			1	e^iδ 1 0 0 1
6	Pp			15	Pphi P phi R phi u1 phi Phase shift			1	1 0 0 e^iφ
7	H			8	H Hadamard Walsh-Hadamard			1	1/√2 1 1 1 -1
8	X			3	X Pauli X sx NOT Bit flip			1	0 1 1 0
9	Y			4	Y Pauli Y sy			1	0 −i i 0
10	Z			5	Z Pauli Z sz Phase flip			1	1 0 0 −1
11	Rx			19	Rx Rx ? Rotation about x-axis			1	cosθ/2 −isinθ/2 −isinθ/2 cosθ/2
12	Ry			20	Ry Ry ?. Rotation about y-axis			1	cosθ/2 −sinθ/2 sinθ/2 cosθ/2
13	Rz			21	Rz Rz ?. Rotation about z-axis			1	e^−iθ/2 0 0 e^iθ/2
14	V			7	V sqrt-X sqrt-NOT SX			1	1/2 1+i 1−i 1-i 1+i
15	S			6	S sqrt-Z P Phase S			1	1 0 0 i
16	C Pp			17	Controlled phase C phase f CR f			2	1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 e^iφ
17	C X			9	CX CNOT XOR Controlled NOT Controlled X Reversible exclusive OR Feynman			2	1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0
18	C Z			11	CZ CPF CSign Cphase Controlled Z Controlled sign flip Controlled phase flip			2	1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 -1
19	C S			18	CS Cntrolled S Controlled phase S			2	1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 i
20	Cd X			10	CdX CdashX XNOR Controlled NOT Anticontrolled X Zero control Control-on-0-NOT Reversible exclusive NOR			2	0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 1
21	Sw Sw			13	Swap			2	1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1
22	iSw iSw			14	iSwap Imaginary swap			2	1 0 0 0 0 0 i 0 0 i 0 0 0 0 0 1
23	M				Measurement gate
24	O				Observation gate
25	K				Komparator Comparator
				12	Double-controlled NOT DCNOT			2	1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0
				22	XX interaction Rxx ? XX ?			2	cosϕ/2 0 0 −isinϕ/2 0 cosϕ/2 −isinϕ/2 0 0 −isinϕ/2 cosϕ/2 0 −isinϕ/2 0 0 cosϕ/2
				23	YY interaction Ryy ? YY ?			2	cosϕ/2 0 0 isinϕ/2 0 cosϕ/2 −isinϕ/2 0 0 −isinϕ/2 cosϕ/2 0 isinϕ/2 0 0 cosϕ/2
				24	ZZ interaction Rzz ? ZZ ?			2	e^−iϕ/2 0 0 0 0 e^−iϕ/2 0 0 0 0 e^−iϕ/2 0 0 0 0 e^−iϕ/2
				25	XY XX plus YY Rxy ? XY ?			2	1 0 0 0 0 cosϕ/2 −isinϕ/2 0 0 −isinϕ/2 cosϕ/2 0 0 0 0 1
				26	Square root swap			2	1 0 0 0 0 (1+i)/2 (1−i)/2 0 0 (1−i)/2 (1+i)/2 0 0 0 0 1
				27	Square root imaginary swap			2	1 0 0 0 0 1/sqrt2 i/sqrt2 0 0 i/sqrt2 1/sqrt2 0 0 0 0 1
				28	Swap (raised to a power)			2	1 0 0 0 0 (1+e^iπα)/2 (1−e^iπα)/2 0 0 (1−e^iπα)/2 (1+e^iπα)/2 0 0 0 0 1
				29	CSwap Controlled swap Fredkin			3	1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1
				30	General single qubit rotation U ? ? ?			1	cosθ/2 -(e^−iλ)sinθ/2 (e^−iϕ)sinθ/2 (e^i(λ+ϕ))cosθ/2
				31	Barenco Barenco a ? ?			2	1 0 0 0 0 1 0 0 0 0 (e^iα)cos⁡ θ −i(e^i(α−ϕ)sinθ 0 0 −i(e^i(α+ϕ))sin⁡ θ (e^iα)cos⁡θ
				32	B Berkeley B			2	cosπ/8 0 0 isinπ/8 0 cos3π/8 isin3π/8 0 0 isinπ/8 cosπ/8 0 isinπ/8 0 0 cosπ/8
				33	CSX controlled square root NOT controlled square root X Controlled V			2	1 0 0 0 0 1 0 0 0 0 e^iπ/4 e^−iπ/4 0 0 e^−iπ/4 e^iπ/4
				34	Core entangling Canonical decomposition N a b c Can a b c			2	(e^ic)cos⁡ (a−b) 0 0 (e^ic)sina−b) 0 (e^-ic)cos⁡ (a+b) (e^-ic)sin⁡ (a+b) 0 0 (e^-ic)sin⁡ (a+b) (e^-ic)cos⁡ (a+b) 0 (e^ic)sin⁡ (a−b) 0 0 (e^ic)cos⁡ (a−b)
				35	Dagwood Bumstead DB			2	1 0 0 0 0 cos3π/8 −isin3π/8 0 0 −isin3π/8 cos3π/8 0 0 0 0 1
				36	Echoed cross resonance ECR			2	1/sqrt2 0 0 1 i 0 0 i 1 1 −i 0 0 −i 1 0 0
				37	Fermionic simulation UfSim ? ? fSim ? ?			2	1 0 0 0 0 cosθ −isinθ 0 0 −isinθ cosθ 0 0 0 0 e^iϕ
				38	Givens. G ? Givens ?			2	1 0 0 0 0 cosθ −sinθ 0 0 sinθ cosθ 0 0 0 0 1
				39	Magic. Mu			2	1/sqrt2 1 i 0 0 0 0 i 1 0 0 i −1 1 −i 0 0
				40	Sycamore Syc fSim p/2 p/6			2	1 0 0 0 0 0 −i 0 0 −i 0 0 0 0 0 e^−iπ/6
				41	Deutsch D ?			3	1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 icos⁡ θ sinθ 0 0 0 0 0 0 sinθ icosθ
				42	Margolus M RCCX Simplified Toffoli			3	1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 −1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0
				43	Peres PG			3	1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0
				44	Toffoli CCNOT CCX Toff Controlled controlled NOT			3	1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0