1- 'Guessing' a 'more likely' private key (using the vulnerability in the Random Number Generator),

please keep us posted about any improvement by QC in RNG attacks, Ali. I just googled and found nothing worthy. but found something amazing in these old stuffs:

https://en.wikipedia.org/wiki/Random_number_generator_attack#cite_note-20
https://www.theregister.co.uk/2013/08/12/android_bug_batters_bitcoin_wallets/
https://bitcoin.org/en/alert/2013-08-11-android

------------------

now, there is a question. while machine learning could be used in attack to RNG and macine learning could also improve by QC, there should be a chance in doing something real with QC on RNG - just a gesture..

what about QC on Fibonacci Sequence? (http://www.ijesi.org/papers/Vol(6)9/Version-3/B0609030714.pdf) Scroll down to encryption / decryption?