add binary_paintshop example to ionq

[MLeib]

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[MLeib]

@googlebot I signed it!

[balopat]

Hi @MLeib, I fixed the header and added the _book.yaml entry for our site. I also removed an API key that was left in there, and in order to remove it from git history I rebased your commit. You won't be able to push from your local branch because of this, I recommend removing your local branch (git branch -D ionq_bpsp_example) and checkout your remote branch again (git checkout origin/ionq_bpsp_example -b ionq_bpsp_example or similar).

[dabacon]

A couple of small comments. I will take another pass on this to flesh it out a little bit more, but let's get this one submitted.

[dabacon]

After fixing the two small details, approval to submit.