  We calculate the holographic entanglement entropy for the holographic QCD
phase diagram considered in [Knaute, Yaresko, K\"ampfer (2017),
arXiv:1702.06731] and explore the resulting qualitative behavior over the
temperature-chemical potential plane. In agreement with the thermodynamic
result, the phase diagram exhibits the same critical point as the onset of a
first-order phase transition curve. We compare the phase diagram of the
entanglement entropy to that of the thermodynamic entropy density and find a
striking agreement in the vicinity of the critical point. Thus, the holographic
entanglement entropy qualifies to characterize different phase structures. The
scaling behavior near the critical point is analyzed through the calculation of
critical exponents.
