But applying it is important as well. Of course, most quantum computing algorithms have not had a chance of being implemented; it's not always possible
Or, as Knuth put it "Beware of bugs in the above code; I have only proved it correct, not tried it."
But if someone comes up with a paper showing a new algorithm but doesn't come up with an implementation of it when it would be straightforward to do so, I begin to doubt this person.
Most other fields don't have the luxury of easy testing.
But applying it is important as well. Of course, most quantum computing algorithms have not had a chance of being implemented; it's not always possible
Or, as Knuth put it "Beware of bugs in the above code; I have only proved it correct, not tried it."
But if someone comes up with a paper showing a new algorithm but doesn't come up with an implementation of it when it would be straightforward to do so, I begin to doubt this person.
Most other fields don't have the luxury of easy testing.