def _get_sqrt_map(cls) -> dict[float, dict[SingleQubitCliffordGate, SingleQubitCliffordGate]]:
        """Returns a map containing two keys 0.5 and -0.5 for the sqrt mapping of Pauli gates."""
        return {
            0.5: {cls.X: cls.X_sqrt, cls.Y: cls.Y_sqrt, cls.Z: cls.Z_sqrt},
            -0.5: {cls.X: cls.X_nsqrt, cls.Y: cls.Y_nsqrt, cls.Z: cls.Z_nsqrt},
        }
Returns a map containing two keys 0.5 and -0.5 for the sqrt mapping of Pauli gates.
cirq-core/cirq/ops/clifford_gate.py