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Unary Probabilistic and Quantum Automata on Promise Problems
[chapter]
2015
Lecture Notes in Computer Science
We continue the systematic investigation of probabilistic and quantum finite automata (PFAs and QFAs) on promise problems by focusing on unary languages. We show that bounded-error QFAs are more powerful than PFAs. But, in contrary to the binary problems, the computational powers of Las-Vegas QFAs and bounded-error PFAs are equivalent to deterministic finite automata (DFAs). Lastly, we present a new family of unary promise problems with two parameters such that when fixing one parameter QFAs
doi:10.1007/978-3-319-21500-6_20
fatcat:ass5dzddyvap3ilx2bakmryelq