Quantum Computers: Shor's Algorithm & Factoring 15

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SUMMARY

The first 7-qubit quantum computer successfully executed Shor's algorithm in 2001, demonstrating its ability to factor the number 15 into its prime components, 3 and 5. This achievement underscores the significance of quantum mechanics principles, particularly superposition, in the functionality of quantum computers. The discussion highlights the anticipation surrounding the development of more advanced quantum machines capable of breaking RSA encryption in polynomial time, which would revolutionize computational capabilities.

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  • Understanding of Shor's algorithm
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  • Basic knowledge of RSA encryption
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Wikipedia said:
In 2001, the first 7-qubit quantum computer became the first to run Shor's algorithm. It factored the number 15.

If we can actually build quantum computers then Quantum Mechanics and its principles, such as superposition of states, really must be very accurate. Not being a physicist, this is surprising to me, but in a good way. I'm familiar with some of Quantum Mechanics' "oddities" and I've always wondered if it has gone down a path where it is only valid because verifying some of its predictions isn't easy. But there's no way a Quantum Computer would work without the principle of superposition, and regarding Quantum Computation I've always held the "see it to believe it" approach. Of course i will only really believe when i see a Quantum Computer break an RSA encription in polynomial time. We already have the algorithm, by Shor, all we need is the machine. If Quantum Computers are possible then this is all very exciting, these machines are beasts and extraordinarily powerful.
I'll wait impatiently for the first one. :smile:
 
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Originally Posted by Wikipedia
In 2001, the first 7-qubit quantum computer became the first to run Shor's algorithm. It factored the number 15.

But what result did it get?:smile:
 
HallsofIvy said:
But what result did it get?:smile:

Well, since it knew 15 with absolute precision it got a result of approximately 3 and approximately 5. :smile:

-Dan
 

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