Bad Qubits — Learn Quantum by Doing

Multiple choice

In adiabatic quantum computation with the linear schedule H(s) = (1-s)H_B + s H_P, what is the canonical driver Hamiltonian H_B and the state the system is prepared in at s = 0?

H_B = H_P itself, so the system starts already in the problem ground state at s = 0
H_B = sum_i X_i X_(i+1), whose ground state is a GHZ state prepared at s = 0
H_B = -sum_i X_i, whose ground state is the uniform superposition |+>^n, which is prepared at s = 0
H_B = -sum_i Z_i, whose ground state is |0>^n, which is prepared at s = 0