dorsal/arxiv
View SchemaOn the class of languages recognizable by 1-way quantum finite automata
| Authors | Andris Ambainis, Arnolds Kikusts, Maris Valdats |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0009004 |
| URL | https://arxiv.org/abs/quant-ph/0009004 |
Abstract
It is an open problem to characterize the class of languages recognized by quantum finite automata (QFA). We examine some necessary and some sufficient conditions for a (regular) language to be recognizable by a QFA. For a subclass of regular languages we get a condition which is necessary and sufficient. Also, we prove that the class of languages recognizable by a QFA is not closed under union or any other binary Boolean operation where both arguments are significant.
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"abstract": "It is an open problem to characterize the class of languages recognized by\nquantum finite automata (QFA). We examine some necessary and some sufficient\nconditions for a (regular) language to be recognizable by a QFA. For a subclass\nof regular languages we get a condition which is necessary and sufficient.\n Also, we prove that the class of languages recognizable by a QFA is not\nclosed under union or any other binary Boolean operation where both arguments\nare significant.",
"arxiv_id": "quant-ph/0009004",
"authors": [
"Andris Ambainis",
"Arnolds Kikusts",
"Maris Valdats"
],
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"quant-ph"
],
"title": "On the class of languages recognizable by 1-way quantum finite automata",
"url": "https://arxiv.org/abs/quant-ph/0009004"
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