Example Concept: VQE operates by using a parameterized quantum circuit to prepare quantum states and a classical optimizer to iteratively adjust the parameters to minimize the expectation value of the Hamiltonian. This hybrid approach allows VQE to tolerate noise by focusing on optimizing the circuit parameters that are less sensitive to errors, and by using classical computation to handle parts of the problem that are more error-prone if done quantumly. The flexibility in circuit design and the ability to incorporate error mitigation techniques further enhance its resilience to noise.