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Jan 27, 2021 at 10:31 comment added Norbert Schuch @user777 You are aware that for two sets, there's possibilities which lie beyond one being inside the other - like they intersect?
Jan 27, 2021 at 4:10 comment added user777 If this suggests that BQP is not inside PH, then this imply that NP-complete problems lies in BQP since all NP problems lies in PH. Then, why people conjectures (very likely) that quantum computer cannot solve NP-complete problems efficiently?
Jan 27, 2021 at 4:06 vote accept user777
Jan 26, 2021 at 13:22 comment added Norbert Schuch This only suggests that BQP is not inside PH.
Jan 26, 2021 at 10:53 comment added user777 1. Some years ago, there was a result that shows an oracle separation between BQP and PH, they show that there exists a problem in BQP but not in PH relative to some oracle. Doesn't tell that BQP should be greater than class PH? 2. If I compare $BPP^{NP}$ with NP-complete, then which is harder?
Jan 22, 2021 at 16:38 history edited Norbert Schuch CC BY-SA 4.0
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Jan 22, 2021 at 16:32 history answered Norbert Schuch CC BY-SA 4.0