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What is square-root NOT-dagger gate in Quantam cloud Computing?

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Also known as the SXdg or square-root NOT-dagger gate.

This is the inverse of the  gate. Applying it twice in a row produces the Pauli-X gate (NOT gate), since the NOT gate is its own inverse. Like the  gate, this gate can be used to create an equal superposition state, and it too is natively implemented on some hardwares using an X90 pulse.

For more information about the  gate, see SXdgGate in the Qiskit Circuit Library.

Composer reference

OpenQASM reference

Q-sphere

Note about q-sphere representations

sxdg_gate

sxdg q[0];

sxdg_qsph

The q-sphere representation shows the state after the gate operates on the initial equal superposition state  where  is the number of qubits needed to support the gate.

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