0000000000222276

AUTHOR

Oksana Scegulnaja

showing 2 related works from this author

Quantum Query Complexity for Some Graph Problems

2004

The paper [4] by H. Buhrman and R. de Wolf contains an impressive survey of solved and open problems in quantum query complexity, including many graph problems. We use recent results by A.Ambainis [1] to prove higher lower bounds for some of these problems. Some of our new lower bounds do not close the gap between the best upper and lower bounds. We prove in these cases that it is impossible to provide a better application of Ambainis’ technique for these problems.

CombinatoricsQuantum queryGraph (abstract data type)Computer Science::Computational ComplexityUpper and lower boundsMathematics
researchProduct

Quantum Real - Time Turing Machine

2001

The principles of quantum computation differ from the principles of classical computation very much. Quantum analogues to the basic constructions of the classical computation theory, such as Turing machine or finite 1-way and 2-ways automata, do not generalize deterministic ones. Their capabilities are incomparable. The aim of this paper is to introduce a quantum counterpart for real - time Turing machine. The recognition of a special kind of language, that can't be recognized by a deterministic real - time Turing machine, is shown.

TheoryofComputation_COMPUTATIONBYABSTRACTDEVICESTheoretical computer scienceQuantum Turing machineDTIMEComputer scienceProbabilistic Turing machine2-EXPTIMESuper-recursive algorithmComputationDescription numberDSPACElaw.inventionsymbols.namesakeTuring machineTuring completenessNon-deterministic Turing machinelawAlgorithm characterizationsQuantumPSPACEQuantum computerFinite-state machineTuring machine examplesNSPACETheoryofComputation_GENERALAutomatonTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESTuring reductionTheory of computationsymbolsUniversal Turing machineTime hierarchy theoremAlternating Turing machineComputer Science::Formal Languages and Automata TheoryRegister machine
researchProduct