  In recent years, non-Hermitian quantum physics has gained a lot in popularity
in the quantum optics and condensed matter communities in order to model
quantum systems with varying symmetries. In this paper, we identify a
non-standard inner product that implies bosonic commutator relations for local
electric and magnetic field observables and leads to a natural local
biorthogonal description of the quantised electromagnetic field. When comparing
this description with an alternative local Hermitian description, in which the
states of local photonic particles - i.e. of so-called bosons localised in
position (blips) - are orthogonal under the conventional Hermitian inner
product, we find that there is an equivalence between the two approaches.
Careful consideration needs to be given to the physical interpretation of the
different descriptions. Whether a Hermitian or a non-Hermitian approach is more
suitable depends on the circumstances that we want to model.
