Web Reference: The last section completes Shor's algorithm by connecting the order finding problem to integer factorization. We end the tutorial with a discussion on other demonstrations of Shor's algorithm on real hardware, focusing on both generic implementations and those tailored to factoring specific integers such as 15 and 21. As far as is known, this is not possible using classical (non-quantum) computers; no classical algorithm is known that can factor integers in polynomial time. However, Shor's algorithm shows that factoring integers can be done with a polynomial complexity circuit on an ideal quantum computer. 5 days ago · Here, by leveraging advances in high-rate quantum error-correcting codes, efficient logical instruction sets, and circuit design, we show that Shor’s algorithm can be executed at cryptographically relevant scales with as few as 10,000 reconfigurable atomic qubits.
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