Quantum computers use the quantum interference of different computational paths to enhance correct outcomes and suppress erroneous outcomes of computations. A common pattern underpinning quantum algorithms can be identified when quantum computation is viewed as multiparticle interference. We use this approach to review (and improve) some of the existing quantum algorithms and to show how they are related to different instances of quantum phase estimation. We provide an explicit algorithm for generating any prescribed interference pattern with an arbitrary precision.
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Univ Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, BrazilUniv Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, Brazil
Carvalho, Marcelo
Lyra, Alexandre
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Univ Fed Rio de Janeiro, Observ Valongo, BR-20080090 Rio De Janeiro, BrazilUniv Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, Brazil