dorsal/arxiv
View SchemaDecidable and undecidable problems about quantum automata
| Authors | Vincent D. Blondel, Emmanuel Jeandel, Pascal Koiran, Natacha Portier |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0304082 |
| URL | https://arxiv.org/abs/quant-ph/0304082 |
Abstract
We study the following decision problem: is the language recognized by a quantum finite automaton empty or non-empty? We prove that this problem is decidable or undecidable depending on whether recognition is defined by strict or non-strict thresholds. This result is in contrast with the corresponding situation for probabilistic finite automata for which it is known that strict and non-strict thresholds both lead to undecidable problems.
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"abstract": "We study the following decision problem: is the language recognized by a\nquantum finite automaton empty or non-empty? We prove that this problem is\ndecidable or undecidable depending on whether recognition is defined by strict\nor non-strict thresholds. This result is in contrast with the corresponding\nsituation for probabilistic finite automata for which it is known that strict\nand non-strict thresholds both lead to undecidable problems.",
"arxiv_id": "quant-ph/0304082",
"authors": [
"Vincent D. Blondel",
"Emmanuel Jeandel",
"Pascal Koiran",
"Natacha Portier"
],
"categories": [
"quant-ph"
],
"title": "Decidable and undecidable problems about quantum automata",
"url": "https://arxiv.org/abs/quant-ph/0304082"
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