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The discovery of the quantum Hall (QH) effect led to the realization of a topological electronic state with dissipationless currents circulating in one direction along the edge of a two-dimensional electron layer under a strong magnetic field^,. The quantum anomalous Hall (QAH) effect shares a similar physical phenomenon to that of the QH effect, whereas its physical origin relies on the intrinsic spin–orbit coupling and ferromagnetism^{,,,,,,,,,,,,,}. Here, we report the experimental observation of the QAH state in V-doped (Bi,Sb)₂Te₃ films with the zero-field longitudinal resistance down to 0.00013 ± 0.00007h/e² (~3.35 ± 1.76 Ω), Hall conductance reaching 0.9998 ± 0.0006e²/h and the Hall angle becoming as high as 89.993° ± 0.004° at T = 25 mK. A further advantage of this system comes from the fact that it is a hard ferromagnet with a large coercive field (H_c > 1.0 T) and a relative high Curie temperature. This realization of …