@Joefish - - I reckon they're terrible images too.
I was an analog film photographer long before I went digital years ago--and I still use analog film too. Basically, I've no problem switching between the two systems and I've worked on imaging electronics and image sensors.
Many of those who've never owned an analog film camera don't realise how truly effective film is at integrating the limits of fine detail into smooth slightly blurred edges but which still maintains linearity within grayscale, similarly film grain (noise) characteristics had reached a high art long before the end of the film era. In fact, many books were written on these subjects.
Digital sensors are still quite brutal at the edges of linearity, suffice to say they don't handle the bottom and top few pixels of the grayscale well. Whilst there are superb digital cameras, the problem of limited dynamic range in sensors remains, and it's the subject of ongoing research.
In these Pentax Q images both compression and sensor noise are considerable. Compression noise often manifests as washed out transitions (artifacts) between light and dark areas, and when closely inspected one could be forgiven for thinking the transitions were hand drawn by pencil. It's particularly evident in the night image of St Paul's as well as in the Westminster Palace images in the transition between the building and sky.
For me, compression artifacts which limit an image's dynamic range are particularly objectionable (one often sees it in images in PDFs when magnified) and this Pentax Q has it in heaps, moreover, there's also lots of sensor (pixelated) noise too. This camera should have had a much better full-frame [35mm] sensor with a lower noise figure, better noise-reducing electronics and its stored image algorithm should not be compressing anywhere near the degree with which it is.
Frankly, this camera is a great disappointment if you're after good images; alternatively, if you're rich and just want the retro look for your mantelpiece then go for it.