It doesn't that there is any graphics editor or converter available to today that supports the somewhat old KQP format and could export it to JPG format. Your only choice is probably to try and open these files using dedicated digital photography sofware like Photoshop or Zoner.
Convert Konica camera photo file to JPEG bitmap image format.
We have found one software suitable in our database for this conversion.
Multiplatform software - convert kqp to jpg on any platform
Cross-platform batch image transcoder compatible with 500 picture image formats
Convert from kqp file format
The table with program actions contains information about what each program is capable of doing with their files. This may be a good pointer for further searches for certain file conversions and help you find the converter you are looking for if our search result is insufficient for you. However, it is far from perfect and may sometimes show results which are not really usable because of the nature of the software handles the files. So a conversion that appears as possible, just because of matched actions, may in fact not be possible.