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Yes, it takes a classical computer more time to simulate a quantum computer than just running that quantum computer and checking the output. But did anyone thi
by erichocean 7y ago
Yes, it takes a classical computer more time to simulate a quantum computer than just running that quantum computer and checking the output.
But did anyone think this wasn't going to be the case? Quantum circuit solving is just one example of this phenomenon; physically-based rendering is another: it's much faster to stick a camera in a room and measure the resulting image than it is to simulate light transport of the identical scene in the computer using an unbiased rendering algorithm.
I'm sure there are other examples: any physical phenomenon that is "NP-like" will have this property where setting up the (physical) system and measuring the end result after it has "settled" is exponentially faster than simulating the entire system in a classical computer and then measuring the result.
- hcs 7y agoI think Aaronson addresses your objections in Q12, including claiming that there are some who didn't think even this would be possible (see also Q14). If you built a programmable room for creating a large variety of material and lighting setups under computer control, that might be comparable?