Pushdown Automata Pdf Mathematical Concepts Mathematical Logic In this paper we have discussed about quantum pushdown automata, turing machine and quantum turing machine and compared the power among these and by taking some interesting examples. The evolution operator of qpa is represented by an infinite matrix with finite non zero elements. the paper aims to redefine qpa to comply with quantum mechanics' unitarity requirements. examples demonstrate specific languages recognized by qpa that are not recognizable by classical methods.
21 Pushdown Automata Pdf Formal Methods Theoretical Computer Science Quantum finite automata, as well as quantum pushdown automata (qpa) were first introduced by c. moore and j. p. crutchfield. in this paper we introduce the notion of qpa in a non equivalent way, including unitarity criteria, by using the definition of quantum finite automata of kondacs and watrous. The first definition of quantum pushdown automata was suggested by [mc 97], but here the authors actually deal with the so called generalized quantum pushdown automata, which evolution does not have to be unitary. Their model has a quantum tape head and a quantum stack, and needs o(n) qbits for realization, where n is an execution time. in this paper, we introduce another model of quantum pushdown automata whose stack is implemented as a classical device. In this section, we will present algorithms for the implementation of deterministic push down automata in a quantum framework such as quantum deterministic push down automata (qdpda).
Quantum Pushdown Automata Quantumexplainer We show that qpa can recognize every regular language. finally we present some simple languages recognized by qpa, two of them are not recognizable by deterministic pushdown automata and one seems to be not recognizable by probabilistic push down automata as well. In this paper we start from a deterministic push down automaton (dpda). we present circuit for state transition and stack operations. the circuits presented can be viewed as independent. Several types of quantum computational models has been proposed including quantum finite automata, quantum pushdown automata, quantum branching programs. it has been shown that some computational models are more powerful than classical counterpart. Quantum automata are mathematical models for quantum computing. we analyze the existing quantum pushdown automata, propose a q quantum pushdown automata (qqpda), and partially clarify their connections.
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