Quantum Computers Can Search Rapidly by Using Almost Any Transformation
- 11 May 1998
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 80 (19) , 4329-4332
- https://doi.org/10.1103/physrevlett.80.4329
Abstract
A quantum computer has a clear advantage over a classical computer for exhaustive search. The quantum mechanical algorithm for exhaustive search was originally derived by using subtle properties of a particular quantum mechanical operation called the Walsh-Hadamard (W-H) transform. This paper shows that this algorithm can be implemented by replacing the W-H transform by almost any quantum mechanical operation. This leads to several new applications where it improves the number of steps by a square root. It also broadens the scope for implementation since it demonstrates quantum mechanical algorithms that can adapt to available technology.All Related Versions
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