  We show that the recently-introduced formalism by Neuhauser et al. for the
calculation of the quasi-particle energies of electronic systems within the
framework of the GW approximation of the self-energy operator, named the
`stochastic GW approach' and empirically shown to have a linear-scaling
arithmetic complexity for increasing number of electrons, suffers from two
fundamental shortcomings that cannot be overcome while maintaining the present
empirical linear-scaling property of the approach.
