Standard gate set

Find below an overview of unitary instructions that are explicitly defined in the language, i.e. the named gates, that comprise the cQASM standard gate set. Click on the Name of the gate for a more detailed description.

Name	Identifier	Operator	Example statement
Hadamard	H	\(H\)	H q[0]
Identity	I	\(I\)	I q[0]
Pauli-X	X	\(X\)	X q[0]
Pauli-Y	Y	\(Y\)	Y q[0]
Pauli-Z	Z	\(Z\)	Z q[0]
X90	X90	\(X^{1/2}\)	X90 q[0]
minus-X90	mX90	\(X^{-1/2}\)	mX90 q[0]
Y90	Y90	\(Y^{1/2}\)	Y90 q[0]
minus-Y90	mY90	\(Y^{-1/2}\)	mY90 q[0]
S	S	\(S\)	S q[0]
S-dagger	Sdag	\(S^\dagger\)	Sdag q[0]
T	T	\(T\)	T q[0]
T-dagger	Tdag	\(T^\dagger\)	Tdag q[0]
Rx	Rx	\(R_x(\theta)\)	Rx(pi) q[0]
Ry	Ry	\(R_y(\theta)\)	Ry(pi) q[0]
Rz	Rz	\(R_z(\theta)\)	Rz(pi) q[0]
Rn	Rn	\(R_\hat{\mathbf{n}}(\hat{\mathbf{n}}, \theta, \phi)\)	Rn(1,0,0,pi,pi/2) q[0]
Controlled-NOT	CNOT	\(CNOT\)	CNOT q[0], q[1]
C-Phase	CZ	\(CZ\)	CZ q[0], q[1]
CR	CR	\(CR(\theta)\)	CR(pi) q[0], q[1]
CRk	CRk	\(CR_k(k)\)	CRk(2) q[0], q[1]
SWAP	SWAP	\(SWAP\)	SWAP q[0], q[1]