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q_eng_anon | 6 years ago
you said the number 15 was never factored on a quantum computer - this is false.
You can run as many gates as you want - go ahead and run 4608 gates in qiskit right now - the measurements will be random but you can do it.
IDK where you got that equation for the number of gates but it's probably for the general case - doesn't take into account the fact that different gate sets can be used to reduce the total.
Also confused on the error correction part - the whole point of error correction is to make the coherence time independent of the number of 'gates' in your circuit - so yeah with error correction you get more gates but you also get an effectively infinite coherence time...
scottlocklin|6 years ago
I guess it depends what you mean by "factored" and "quantum computer" -using the generally accepted definitions, the number 15 has never been factored on a quantum computer using the Shor algorithm.
Yes, I am talking about the general case where you don't leave out the gates for 2 and 7 being factors of 15. That's what most people mean by factoring. Stating the answer because you know it already isn't useful. LARPing by running the algo through the "right" gates also isn't useful.
codesushi42|6 years ago
And you failed to consider quantum annealing as an alternative to Shor.