= Quantum algorithm
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This is the true key question: what are the most important algorithms that would be accelerated by quantum computing?
Some candidates:
* <Shor's algorithm>: this one will actually make humanity worse off, as we will be forced into <post-quantum cryptography> that will likely be less efficient than existing classical <cryptography> to implement
* <quantum algorithm for linear systems of equations>, and related <application of systems of linear equations>
* <Grover's algorithm>: speedup not exponential. Still useful for anything?
* https://en.wikipedia.org/wiki/Quantum_Fourier_transform[Quantum Fourier transform]: TODO is the speedup exponential or not?
* Deutsch: solves an useless problem
* <NISQ algorithms>
Do you have proper optimization or <quantum chemistry> algorithms that will make trillions?
Maybe there is some room for doubt because some applications might be way better in some <quantum computer physical implementations>[implementations], but we should at least have a good general idea.
However, clear information on this really hard to come by, not sure why.
Whenever asked e.g. at: https://physics.stackexchange.com/questions/3390/can-anybody-provide-a-simple-example-of-a-quantum-computer-algorithm/3407 on <Physics Stack Exchange> people say the infinite mantra:
Lists:
* <Quantum Algorithm Zoo>: the leading list as of 2020
* <quantum computing computational chemistry algorithms> is the area that Ciro and many people are te most excited about is
* https://cstheory.stackexchange.com/questions/3888/np-intermediate-problems-with-efficient-quantum-solutions
* https://mathoverflow.net/questions/33597/are-there-any-known-quantum-algorithms-that-clearly-fall-outside-a-few-narrow-cla