On Quantum Algorithms

Details On Quantum Algorithms On Quantum Algorithms

1999-03-17

arxiv.org/abs/quant-ph/9903061v1

Complexity 4 (1998) 33

Physics

Quantum Physics

15 pages, 8 figures

Scientific paper

Quantum computers use the quantum interference of different computational paths to enhance correct outcomes and suppress erroneous outcomes of computations. In effect, they follow the same logical paradigm as (multi-particle) interferometers. We show how most known quantum algorithms, including quantum algorithms for factorising and counting, may be cast in this manner. Quantum searching is described as inducing a desired relative phase between two eigenvectors to yield constructive interference on the sought elements and destructive interference on the remaining terms.

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