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Quantum Computing

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  • $\begingroup$ The first part only answers the question "how is the set of efficient algorithms on quantum circuits called". Although looking at the problems in the class gives an idea of what problems are known to currently have better quantum algorithms than classical algorithms, this doesn't lead to a general statement. The second part comes closer to what is being asked for, although those are examples, not a general statement. The general statement is of course beyond current knowledge, but I think that is worth mentioning. $\endgroup$ Commented Apr 4, 2018 at 7:43
  • $\begingroup$ To be clear, the fact that a problem is in BQP doesn't mean that quantum computing "can help". We can only say for a problem A that QC helps if A is in BQP, but not in P (or BPP?). $\endgroup$ Commented Apr 4, 2018 at 7:45
  • $\begingroup$ sorry, i can accept one answer only... thanks a lot! $\endgroup$ Commented Apr 7, 2018 at 9:49
  • $\begingroup$ One aspect I can not find clearly back in your answer is the kind of problems that can be solved more efficiently by a quantum computer. In the first paragraph you mention that we have a rough idea but is this rough idea documented in the answer ? $\endgroup$ Commented Jun 19, 2018 at 12:34
  • $\begingroup$ @JanVdA All the standard quantum algorithms like Grover's, Shor's, etc give us rough ideas of what type of problems could be solved more efficiently by a quantum computer. I didn't feel the need of covering that in the answer as you'd find it in any general textbook on the subject or even Wiikipedia. The point is that we're not sure that there can't exist classical algorithms which will perform as well or better than those. $\endgroup$ Commented Jun 19, 2018 at 13:20