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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... (Update)
Context of citations to this paper: More
...some questions for further work. Parsing classical context free languages is in NC. Quantum context free languages have been defined in [6]. Is quantum parsing, i.e. producing derivation trees with the appropriate amplitudes, in QNC Can circuits for quantum error correction...
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BibTeX entry: (Update)
C. Moore and J.P. Crutchfield, "Quantum automata and quantum grammars." quant-ph/9707031, submitted to Theoretical Computer Science. http://citeseer.ist.psu.edu/17534.html More
@article{ moore00quantum,
author = "Cristopher Moore and James P. Crutchfield",
title = "Quantum automata and quantum grammars",
journal = "Theoretical Computer Science",
volume = "237",
number = "1--2",
pages = "275--306",
year = "2000",
url = "citeseer.ist.psu.edu/17534.html" }
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