Limitations of Quantum Walks and Randomized Algorithms

6533b7d4fe1ef96bd1262262

RESEARCH PRODUCT

Limitations of Quantum Walks and Randomized Algorithms

subject

Mathematical Foundations of Computer Science Datorzinātnes Computer Science

description

Šajā darbā tiek pētīta algoritmu sarežģītība dažādos skaitļošanas modeļos. Konkrētāk, tiek pētītas kvantu klejošanas algoritmu īpašības un ierobežojumi, kā arī varbūtisko vaicājumalgoritmu darbības laika novērtēšanas metodes. Pirmajā daļā tiek aplūkotas Grovera kvantu klejošana un meklēšana grafos. Darbā tiek sniegts vispārīgs matemātisks apraksts klejošanas lokalizācijai un meklēšanas stacionārajiem stāvokļiem. Otrajā daļā tiek aplūkotas apakšējo novērtējumu metodes varbūtisko vaicājumalgoritmu modelī. Darbā tiek pierādīta klasisko pretinieka metožu asimptotiskā ekvivalence visur definētām funkcijām, un aprakstītas to atšķirības daļēji definētām funkcijām. Tiek arī aplūkota saistība starp bloku jutīgumu un daļskaitļu bloku jutīgumu.

year	journal	country	edition	language
2019-01-01

https://dspace.lu.lv/dspace/handle/7/48971

PEPhysical Sciences and Engineering
- PE2Fundamental Constituents of Matter
  - PE2_1Theory of fundamental interactions
  - PE2_2 Phenomenology of fundamental interactions
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  - PE2_6Nuclear, hadron and heavy ion physics
  - PE2_8Gas and plasma physics
  - PE2_5Classical and quantum physics of gravitational interactions
  - PE2_7Nuclear and particle astrophysics
  - PE2_9 Electromagnetism
  - PE2_10Atomic, molecular physics
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  - PE2_17Metrology and measurement
  - PE2_16Non-linear physics
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- PE1Mathematics
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  - LS4_2Comparative physiology
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  - LS3_17Theoretical modelling in cellular, developmental and regenerative biology
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  - LS5_4Neural stem cells
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