Probabilistic and quantum finite automata with postselection

Abuzer Yakaryilmaz; A. C. Cem Say

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arXiv · 1102.0666

Probabilistic and quantum finite automata with postselection

Abuzer Yakaryilmaz·A. C. Cem Say

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Abstract

We prove that endowing a real-time probabilistic or quantum computer with the ability of postselection increases its computational power. For this purpose, we provide a new model of finite automata with postselection, and compare it with the model of Lāce et al. We examine the related language classes, and also establish separations between the classical and quantum versions, and between the zero-error vs. bounded-error modes of recognition in this model.

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Abuzer Yakaryilmaz, A. C. Cem Say. 2011-02-03. Probabilistic and quantum finite automata with postselection. https://arxiv.org/abs/1102.0666

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