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This is an old revision of this page, as edited by MediaWiki message delivery (talk | contribs) at 14:05, 24 November 2015 (→‎ArbCom elections are now open!: new section). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

File:Decision Problem.png listed for deletion

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We have a random oracle relative to which BPP and BQP are separated. This is an improvement over the Deutsch-Jozsa algorithm separating P from EQP. The oracle needs to be quantum and nondecohering.

I think what this is saying is that given a quantum oracle (running in BQP time?), the classic algorithm can't solve the problem as efficiently as quantum algorithm. It's a stronger example of the power of QC than the Deutsch-Jozsa algorithm. I don't quite understand the sentence either, but if you have another idea about how to capture this concept, it would be helpful. I don't know enough about quantum complexity to craft a sentence myself. Skippydo (talk) 14:43, 19 August 2012 (UTC)[reply]

The first sentence is vague, but a fairly common interpretation of it would be that there is a random oracle separation between BQP and BPP. This is not known to be true, and conjectured to be false. The second sentence is OK, so I didn't remove it -- although I'll try to reword it to make it clearer. The last one about the oracle being quantum and decohering makes very little sense to me. If it just means that the oracle has to allow the quantum computer to make queries in quantum superposition, then that's part of the definition of what it means to give BQP oracle access. --Robin (talk) 15:07, 19 August 2012 (UTC)[reply]
Thank you for the explanation and the edits. You've been very helpful. Skippydo (talk) 20:29, 19 August 2012 (UTC)[reply]

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Hi,
You appear to be eligible to vote in the current Arbitration Committee election. The Arbitration Committee is the panel of editors responsible for conducting the Wikipedia arbitration process. It has the authority to enact binding solutions for disputes between editors, primarily related to serious behavioural issues that the community has been unable to resolve. This includes the ability to impose site bans, topic bans, editing restrictions, and other measures needed to maintain our editing environment. The arbitration policy describes the Committee's roles and responsibilities in greater detail. If you wish to participate, you are welcome to review the candidates' statements and submit your choices on the voting page. For the Election committee, MediaWiki message delivery (talk) 14:05, 24 November 2015 (UTC)[reply]