6533b827fe1ef96bd1285a72

RESEARCH PRODUCT

Space-Efficient 1.5-Way Quantum Turing Machine

Andrej Dubrovsky

subject

TheoryofComputation_COMPUTATIONBYABSTRACTDEVICESTheoretical computer scienceQuantum Turing machineSuper-recursive algorithmComputer scienceProbabilistic Turing machineComputationDescription numberMultitape Turing machineDSPACElaw.inventionTuring machinesymbols.namesakeNon-deterministic Turing machinelawAlgorithm characterizationsPSPACEWolfram's 2-state 3-symbol Turing machineTuring machine examplesNSPACETuring reductionsymbolsUniversal Turing machineTime hierarchy theoremAlternating Turing machineRegister machine

description

1.5QTM is a sort of QTM (Quantum Turing Machine) where the head cannot move left (it can stay where it is and move right). For computations is used other - work tape. In this paper will be studied possibilities to economize work tape space more than the same deterministic Turing Machine can do (for some of the languages). As an example language (0i1i|i ≥ 0) is chosen, and is proved that this language could be recognized by deterministic Turing machine using log(i) cells on work tape , and 1.5QTM can recognize it using constant cells quantity.

yearjournalcountryeditionlanguage
2001-01-01
https://doi.org/10.1007/3-540-44669-9_37