SDK Support Matrix

Which frameworks implement which gates. A ✓ links to the SDK's documentation for its native implementation (hover to see the gate's name in that SDK). A ~ means the gate isn't built in but there is a standard way to construct it — hover for the recipe. A — means the SDK has no reasonable direct equivalent.

Every link in this table is verified against the SDK's current stable documentation. Spotted a gap or a new release we missed? Open an issue.

Gate	Qiskit	PennyLane	Cirq	Q#	PyQuil	Braket	BQSKit	Qibo	pytket	Stim	OpenQASM
Pauli-X	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Pauli-Y	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Pauli-Z	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Identity	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Hadamard	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Square Root of X	✓	✓	✓	✓	~	✓	✓	✓	✓	✓	✓
Phase	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
T	✓	✓	✓	✓	✓	✓	✓	✓	✓	—	✓
unnamed	—	—	—	—	—	—	—	—	—	—	—
U2	✓	✓	~	—	~	~	✓	✓	✓	—	✓
x Rotation	✓	✓	✓	✓	✓	✓	✓	✓	✓	—	✓
y Rotation	✓	✓	✓	✓	✓	✓	✓	✓	✓	—	✓
z Rotation	✓	✓	✓	✓	✓	✓	✓	✓	✓	—	✓
Phase Shift	✓	✓	✓	✓	✓	✓	✓	✓	✓	—	✓
Phased Rotation	✓	~	✓	~	—	✓	✓	✓	✓	—	—
Arbitrary Rotation	✓	✓	~	✓	—	~	✓	~	~	—	—
U3	✓	✓	~	—	✓	✓	✓	✓	✓	—	✓
xx Rotation	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓	—
yy Rotation	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓	—
zz Rotation	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓	—
zx Rotation	✓	~	~	~	—	—	—	✓	~	—	—
Controlled x Rotation	✓	✓	~	~	~	~	✓	✓	✓	—	✓
Controlled y Rotation	✓	✓	~	~	~	~	✓	✓	✓	—	✓
Controlled z Rotation	✓	✓	~	~	~	~	✓	✓	✓	—	✓
Controlled Not	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Controlled-Y	✓	✓	✓	✓	~	✓	✓	✓	✓	✓	✓
Controlled-Z	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
Controlled Phase	✓	✓	✓	~	✓	✓	✓	✓	✓	—	✓
Controlled-Hadamard	✓	✓	~	~	~	~	✓	✓	✓	—	✓
Controlled-S	✓	~	✓	~	~	~	✓	~	✓	—	~
Controlled sqrt(X)	✓	~	✓	~	—	✓	✓	✓	✓	—	~
Toffoli	✓	✓	✓	✓	✓	✓	✓	✓	✓	—	✓
Controlled-CZ	✓	✓	✓	~	~	~	~	✓	✓	—	~
Fredkin	✓	✓	✓	~	✓	✓	~	~	✓	—	✓
Multi-Controlled X	✓	✓	~	~	~	~	~	~	✓	—	~
Deutsch	—	—	—	—	—	—	—	✓	~	—	—
Margolus	✓	—	—	—	—	—	✓	~	—	—	—
SWAP	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓	✓
iSWAP	✓	✓	✓	—	✓	✓	✓	✓	✓	✓	—
Square Root SWAP	~	~	✓	—	—	—	—	—	~	—	~
Square Root iSWAP	~	✓	✓	—	~	~	✓	✓	~	—	—
fSWAP	~	✓	~	—	—	~	—	✓	~	✓	—
Double CX	✓	—	~	—	~	—	—	~	~	✓	—
GPi	~	~	✓	—	—	✓	✓	✓	✓	—	—
GPi2	~	~	✓	—	—	✓	✓	✓	✓	—	—
Mølmer-Sørensen	✓	~	✓	—	—	✓	✓	✓	✓	✓	—
Echoed Cross-Resonance	✓	✓	—	—	—	✓	✓	✓	✓	—	—
Sycamore	—	—	✓	—	~	—	✓	✓	✓	—	—
XY Interaction	✓	✓	✓	—	✓	✓	~	✓	✓	—	—
Fermionic Simulator	~	~	✓	—	✓	~	✓	✓	✓	—	—
Canonical entangling	—	~	—	—	—	~	~	—	✓	—	—
B Gate	—	—	—	—	—	—	✓	—	~	—	—
Magic	—	—	—	—	—	—	—	—	~	—	—
Givens Rotation	~	✓	✓	—	—	—	—	✓	~	—	—
XX−YY Interaction	✓	—	—	—	—	—	—	—	~	—	—
Shift	—	✓	~	—	—	—	✓	—	—	—	—
Clock	—	✓	~	—	—	—	✓	—	—	—	—
Chrestenson	—	—	~	—	—	—	—	—	—	—	—
Controlled Shift (SUM)	—	—	~	—	—	—	—	—	—	—	—
Controlled Clock	—	—	~	—	—	—	—	—	—	—	—
Global Phase	✓	✓	✓	~	~	✓	—	~	✓	—	✓
Quantum Fourier Transform	✓	✓	✓	✓	~	—	—	✓	~	—	—
Oracle	✓	—	—	—	—	~	—	—	~	—	—
Phase Oracle	✓	~	—	—	—	—	—	—	~	—	—
Grover Diffuser	✓	✓	—	—	—	—	—	~	~	—	—
Virtual Distillation	—	—	—	—	—	—	—	—	—	—	—

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