  Experimentally quantifying entanglement and coherence are extremely important
for quantum resource theory. However, because the quantum state tomography
requires exponentially growing measurements with the number of qubits, it is
hard to quantify entanglement and coherence based on the full information of
the experimentally realized multipartite states. Fortunately, other methods
have been found to directly measure the fidelity of experimental states without
quantum state tomography. Here we present a fidelity-based method to derive
experimentally accessible lower bounds for measures of genuine multipartite
entanglement and coherence. On the one hand, the method works for genuine
multipartite entanglement measures including the convex-roof extended
negativity, the concurrence, the G-concurrence, and the geometric measure for
genuine multipartite entanglement. On the other hand, the method also delivers
observable lower bounds for the convex roof of the $l_{1}$-norm of coherence,
the geometric measure of coherence, and the coherence of formation.
Furthermore, all the lower bounds are based on the fidelity between the chosen
pure state and the target state, and we obtain the lower bounds of several real
experimental states as examples of our results.
