  In this paper, we introduce a novel quantum photonic device, which we term
photonic Bier-Glass cavity. We discuss its fabrication and functionality, which
is based on the coupling of integrated In(Ga)As quantum dots to a broadband
photonic cavity resonance. By design, the device architecture uniquely combines
the Purcell enhancement of a photonic micropillar structure with broadband
photonic mode shaping of a vertical, tapered waveguide, making it an
interesting candidate to enable the efficient extraction of entangled photon
pairs. We detail the epitaxial growth of the heterostructure and the necessary
lithography steps to approach a GaAs-based photonic device with a height
exceeding 15 $\mu$m, supported on a pedestal that can be as thin as 20 nm. We
present an optical characterization, which confirms the presence of broadband
optical resonances, in conjunction with amplified spontaneous emission of
single photons.
