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@article{1315560,
author = {Gruska, Jozef and QIU, Daowen and Zheng, Shenggen},
article_number = {3},
doi = {http://dx.doi.org/10.1142/S0129054115500215},
keywords = {Exact quantum computing; quantum finite automata; promise problems; state succinctness Read More: http://www.worldscientific.com/doi/abs/10.1142/S0129054115500215},
language = {eng},
issn = {0129-0541},
journal = {International Journal of Foundations of Computer Science},
title = {Potential of Quantum Finite Automata with Exact Acceptance},
url = {http://www.worldscientific.com/doi/abs/10.1142/S0129054115500215},
volume = {26},
year = {2015}
}
TY - JOUR
ID - 1315560
AU - Gruska, Jozef - QIU, Daowen - Zheng, Shenggen
PY - 2015
TI - Potential of Quantum Finite Automata with Exact Acceptance
JF - International Journal of Foundations of Computer Science
VL - 26
IS - 3
SP - 381-398
EP - 381-398
SN - 01290541
KW - Exact quantum computing
KW - quantum finite automata
KW - promise problems
KW - state succinctness Read More: http://www.worldscientific.com/doi/abs/10.1142/S0129054115500215
UR - http://www.worldscientific.com/doi/abs/10.1142/S0129054115500215
L2 - http://www.worldscientific.com/doi/abs/10.1142/S0129054115500215
N2 - The potential of the exact quantum information processing is an interesting, important and intriguing issue. For examples, it has been believed that quantum tools can provide significant, that is larger than polynomial, advantages in the case of exact quantum computation only, or mainly, for problems with very special structures. We will show that this is not the case. In this paper the potential of quantum finite automata producing outcomes not only with a (high) probability, but with certainty (so called exactly) is explored in the context of their uses for solving promise problems and with respect to the size of automata. It is shown that for solving particular classes {An}n in N of promise problems, even those without some very special structure, that succinctness of the exact quantum finite automata under consideration, with respect to the number of (basis) states, can be very small (and constant) though it grows proportional to n in the case deterministic finite automata (DFAs) of the same power are used. This is here demonstrated also for the case that the component languages of the promise problems solvable by DFAs are non-regular. The method used can be applied in finding more exact quantum finite automata or quantum algorithms for other promise problems. Read More: http://www.worldscientific.com/doi/abs/10.1142/S0129054115500215
ER -
GRUSKA, Jozef, Daowen QIU a Shenggen ZHENG. Potential of Quantum Finite Automata with Exact Acceptance. \textit{International Journal of Foundations of Computer Science}. 2015, roč.~26, č.~3, s.~381-398. ISSN~0129-0541. Dostupné z: https://dx.doi.org/10.1142/S0129054115500215.
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