SIAM Journal on Computing
SIAM Journal on Computing
Undecidability on quantum finite automata
STOC '99 Proceedings of the thirty-first annual ACM symposium on Theory of computing
Space-bounded Quantum complexity
Journal of Computer and System Sciences
Quantum automata and quantum grammars
Theoretical Computer Science
Analogies and differences between quantum and stochastic automata
Theoretical Computer Science
Characterizations of 1-Way Quantum Finite Automata
SIAM Journal on Computing
Two-way finite automata with quantum and classical states
Theoretical Computer Science - Natural computing
Lower Space Bounds for Randomized Computation
ICALP '94 Proceedings of the 21st International Colloquium on Automata, Languages and Programming
On the power of quantum finite state automata
FOCS '97 Proceedings of the 38th Annual Symposium on Foundations of Computer Science
1-way quantum finite automata: strengths, weaknesses and generalizations
FOCS '98 Proceedings of the 39th Annual Symposium on Foundations of Computer Science
Optimal Lower Bounds for Quantum Automata and Random Access Codes
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
Introduction to probabilistic automata (Computer science and applied mathematics)
Introduction to probabilistic automata (Computer science and applied mathematics)
Determining the equivalence for one-way quantum finite automata
Theoretical Computer Science
Economy of description by automata, grammars, and formal systems
SWAT '71 Proceedings of the 12th Annual Symposium on Switching and Automata Theory (swat 1971)
Quantum computing: 1-way quantum automata
DLT'03 Proceedings of the 7th international conference on Developments in language theory
Languages recognized by nondeterministic quantum finite automata
Quantum Information & Computation
Characterizations of one-way general quantum finite automata
Theoretical Computer Science
Journal of Computer and System Sciences
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We prove the following facts about the language recognition power of Kondacs-Watrous quantum finite automata in the unbounded error setting: One-way automata of this kind recognize all and only the stochastic languages. When the tape head is allowed two-way (or even "1.5-way") movement, more languages become recognizable. This leads to the conclusion that quantum Turing machines are more powerful than probabilistic Turing machines when restricted to constant space bounds.