方法对比
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| Grover算法× | Shor 算法× | |
|---|---|---|
| 领域 | 量子计算 | 量子计算 |
| 方法族 | Machine learning | Machine learning |
| 起源年份≠ | 1996 | 1994 |
| 提出者≠ | Lov Grover | Peter Shor |
| 类型 | Quantum algorithm | Quantum algorithm |
| 开创性文献≠ | Grover, L. K. (1996). A fast quantum mechanical algorithm for database search. Proceedings of the 28th Annual ACM Symposium on Theory of Computing (STOC), 212–219. DOI ↗ | Shor, P. W. (1994). Algorithms for quantum computation: discrete logarithms and factoring. Proceedings of the 35th Annual Symposium on Foundations of Computer Science, 124–134. DOI ↗ |
| 别名 | quantum search, amplitude amplification | Shor factorization, quantum factorization |
| 相关 | 3 | 3 |
| 摘要≠ | Grover's Algorithm is a quantum algorithm for searching an unsorted database, offering a quadratic speedup over classical linear search. Proposed by Lov Grover in 1996, it exploits quantum superposition and amplitude amplification to find a target item among N items in O(√N) queries, compared to the classical O(N) requirement. | Shor's Algorithm is a polynomial-time quantum algorithm for factoring large integers and computing discrete logarithms, problems believed to be intractable on classical computers. Discovered by Peter Shor in 1994, it demonstrated the potential of quantum computers to break widely used cryptographic systems like RSA, marking a landmark in quantum computing theory. |
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