# What's the point of the half coefficient in the max-cut cost Hamiltonian

Below is the cost Hamiltonian for an unweighted max-cut problem, I don't understand what the point of the half coefficient is. Why couldn't we omit it?

$$C_\alpha = \frac{1}{2}\left(1-\sigma_{z}^j\sigma_{z}^k\right),$$

• I imagine it's because it scales the range of $C_{\alpha}$ to between 0 and 1. Feb 5 at 13:54