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NP again Re Chelsea Manning on the far right, state surveillance and their lessons for Australia | US news | The Guardian


From: "Dave Farber" <farber () gmail com>
Date: Thu, 9 Aug 2018 15:50:50 +0900



Begin forwarded message:

From: Geoff Kuenning <geoff () cs hmc edu>
Subject: Re: [IP] Re Chelsea Manning on the far right, state surveillance and their lessons for Australia | US news | 
The Guardian
Date: August 9, 2018 15:48:30 JST
To: dave () farber net

The essence of NP-hardness is that you can guess the answer to a problem that (as far as we know) can only be solved 
by exhaustive search, and verify that the answer is correct in polynomial time.

This summary applies to the known-plaintext problem for *all* forms of encryption: given plaintext and ciphertext, if 
you can guess the key you can easily verify that your guess is correct (assuming that the encryption process itself 
is polynomial, which is true for all practical encryption methods).

So yes, if quantum computing can solve any NP-hard problem in polynomial time, then it will break all known forms of 
encryption (with the exception of one-time pads).  But there is a lot of evidence to suggest that quantum computing 
is just a speedup and that it can't actually solve NP-hardness.





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