All from
https://quantum-computing.ibm.com/docs/iqx/operations-glossary
The H, or Hadamard converts classical 0,1 to Quantum +,-
Pauli X gate flips state 0 to 1 or 1 to 0
CX gate slow controlled-NOT gate X on the target whenever the control is in state. If the control qubit is in a superposition, this gate creates entanglement
CCX gate Toffoli or double controlled-X gate two control qubits and one target Often with H gate
SWAP gate The SWAP gate swaps the states of two qubits.
CSWAP gate Fredkin or CSWAP gate swaps the states of the two target qubits if the control qubit is in the state.
T gate π/4 radian rotation about the Z axis
P or Phase or S gate Applies a phase of i to the 1 state Equivalent to a π/2 radian rotation about the Z axis
Pauli Z gate Flips the +- states multiplies by -1
Sdg gate The inverse of the S gate. It induces a −π/2 phase
Tdg gate The inverse of the T gate.
U1 gate The U1 gate applies a phase of e (i * theta) to the 1 state.
Barrier operation Don't combine gates
Reset operation The reset operation returns a qubit to state 0
Measurement, not a reversible operation In the standard basis, also known as the z basis or computational basis.
The RX gate rotates the qubit state around the x axis by the given angle
The RY gate Rotatesthe qubit state around the y axis by e (i*Theta y) the given angle and does not introduce complex amplitudes.
RZ gate Rotates the qubit state around the z axis by the given angle. It is a diagonal gate and is equivalent to U1 up to a phase of e(i*Theta/2)
U3 gate The three parameters allow the construction of any single-qubit gate. Has a duration of one unit of gate time.
Pauli Y gate Ry for the angle theta. Applying X and Z, up to a global phase factor.
U2 gate The two parameters control two different rotations within the gate. Has a duration of one unit of gate time.
CH gate The controlled-Hadamard gate acts on a control and target qubit. It performs an H on the target whenever the control is in state 1.
CY gate The controlled-Y gate acts on a control and target qubit. It performs a Y on the target whenever the control is in state 1.
CZ gate The controlled-Z gate acts on a control and target qubit. It performs a Z on the target whenever the control is in state 1. This gate is symmetric; swapping the two qubits it acts on doesn’t change anything.
CRX gate Applies the RX gate to the target qubit if the control qubit is in state 1, or alternatively in state 0 if the argument ctrl_state is set to 0.
CRY gate Applies the RY gate to the target qubit if the control qubit is in state , or alternatively in state if the argument ctrl_state is set to 0.It can be used to map functions to qubit amplitudes, num_state_qubits, slope, offset, basis(‘X’, ‘Y’, ‘Z’), name of the circuit object.
CRZ gate The controlled-RZ gate acts on a control and target qubit. It performs an RZ rotation on the target whenever the control is in state 1.
CU1 gate Applies the U1 gate if the control qubit is in state 1, or alternatively in state 0 if the argument ctrl_state is set to 0. This is a diagonal and symmetric gate. One usage of this gate is in the quantum Fourier transform.
CU3 gate Applies the U3 gate if the control qubit is in state 1, or alternatively in state 0 if the argument ctrl_state is set to 0.
RXX gate The RXX gate implements the Mølmer–Sørensen gate, the native gate on ion-trap systems, can be expressed as a sum of RXX gates.
RZZ gate The RZZ gate requires a single parameter: an angle expressed in radians. This gate is symmetric; swapping the two qubits it acts on doesn’t change anything.