Fig. 9: Left: an example of achieving a larger overlap between the Dicke state and the effective ground state of the Trotterized ring mixer at β = 0.5 by increasing the Trotter number from 1 to 2.
From: Alignment between initial state and mixer improves QAOA performance for constrained optimization
The Dicke state is prepared with different N values but a fixed K = 3. Right: the quality of QAOA solution in noiseless simulation. The initial state is prepared as the Dicke state with a fixed K = 5, and the ring-XY mixer is approximated with Trotter numbers 1 and 2. For various problem sizes, we consistently observe a performance improvement when transitioning the Trotter number from 1 to 2.
