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Quantum Computing

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    $\begingroup$ Using very simplified logic, with 0.999 probability of no error happening at each gate, after using 1000 gates you have 0.999^1000 = 0.36 probability of no error happening in your computation, which is already less than 50%. Computations for problems of interest take a lot more than a thousand gates, so without error correction the answer is going to be pretty much random $\endgroup$ Commented Dec 9, 2020 at 19:13
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    $\begingroup$ Even with 0.36 success rate, the right answer could still be the majority. Because there are many different wrong answers with less appearing probability. I guess there should be some intrinsic defect for non-error correcting quantum computation. Otherwise, improving fidelity is more technically achievable than error correction $\endgroup$ Commented Dec 9, 2020 at 20:47