dorsal/arxiv
View SchemaQuantum Automata and Quantum Grammars
| Authors | Cristopher Moore, James P. Crutchfield |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9707031 |
| URL | https://arxiv.org/abs/quant-ph/9707031 |
Abstract
To study quantum computation, it might be helpful to generalize structures from language and automata theory to the quantum case. To that end, we propose quantum versions of finite-state and push-down automata, and regular and context-free grammars. We find analogs of several classical theorems, including pumping lemmas, closure properties, rational and algebraic generating functions, and Greibach normal form. We also show that there are quantum context-free languages that are not context-free.
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"abstract": "To study quantum computation, it might be helpful to generalize structures\nfrom language and automata theory to the quantum case. To that end, we propose\nquantum versions of finite-state and push-down automata, and regular and\ncontext-free grammars. We find analogs of several classical theorems, including\npumping lemmas, closure properties, rational and algebraic generating\nfunctions, and Greibach normal form. We also show that there are quantum\ncontext-free languages that are not context-free.",
"arxiv_id": "quant-ph/9707031",
"authors": [
"Cristopher Moore",
"James P. Crutchfield"
],
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"quant-ph"
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"title": "Quantum Automata and Quantum Grammars",
"url": "https://arxiv.org/abs/quant-ph/9707031"
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