Quantum Computers: Shor's Algorithm & Factoring 15

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In 2001, the first 7-qubit quantum computer successfully ran Shor's algorithm to factor the number 15, yielding results of approximately 3 and 5. This achievement highlights the practical application of quantum mechanics principles, particularly superposition. The discussion emphasizes the excitement surrounding the potential of quantum computers to solve complex problems, such as breaking RSA encryption in polynomial time. The need for a functioning quantum computer to validate these theories is acknowledged, with anticipation for future advancements in the field. The conversation reflects a growing interest in the capabilities and implications of quantum computing technology.
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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
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA

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