"Adversary" metodes izmantošana kvantu vaicājošajiem algoritmiem

6533b7d6fe1ef96bd12674eb

RESEARCH PRODUCT

"Adversary" metodes izmantošana kvantu vaicājošajiem algoritmiem

Aleksandrs Belovs

subject

Informācijas tehnoloģija datortehnika elektronika telekomunikācijas datorvadība un datorzinātne Datorzinātnes Datorzinātne#

description

Disertācijā es izmantoju nesen izstrādātu kvantu vaicājumu sarežģītības precīzu raksturojumu - adversary metodi - lai konstruētu jaunus kvantu algoritmus un apakšējos novērtējumus. Rezultāti ir sekojoši: tika izstrādāta jauna tehnika kvantu algoritmu konstruēšanai: mācīšanas grafi; mācīšanas grafi tika izmantoti lai uzlabotu kvantu vaicājumu sarežģītību trijstūra atrašanas un k-atšķirīguma problēmām; tika pierādīti precīzi apakšējie novērtējumi k-sumas un trijsūra summas problēmām; tika uzbūvēti kvantu algoritmi dažu apakšgrafu meklēšanas problēmām, kas ir optimāli vaicājumu, laik un atmiņas ziņā;tika izstrādāts kvantu klejošanas vispārinājums, kas savieno grafa elektriskās īpašības ar kvantu klejošanas soļu skaitu. Tas tika izmantots, lai izstrādātu laika-efektīvu kvantu algoritmu 3-atšķirīguma problēmai.

year	journal	country	edition	language
2014-01-01

https://dspace.lu.lv/dspace/handle/7/4026

PEPhysical Sciences and Engineering
- PE2Fundamental Constituents of Matter
  - PE2_1Theory of fundamental interactions
  - PE2_2 Phenomenology of fundamental interactions
  - PE2_3Experimental particle physics with accelerators
  - PE2_4Experimental particle physics without accelerators
  - 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
  - PE2_11Ultra-cold atoms and molecules
  - PE2_18Equilibrium and non-equilibrium statistical mechanics: steady states and dynamics
  - PE2_14Lasers, ultra-short lasers and laser physics
  - PE2_17Metrology and measurement
  - PE2_16Non-linear physics
  - PE2_12Optics, non-linear optics and nano-optics
  - PE2_13Quantum optics and quantum information
  - PE2_15Thermodynamics
- PE1Mathematics
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  - PE1_11Theoretical aspects of partial differential equations
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  - PE10_14Earth observations from space/remote sensing
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  - LS1_5Lipid biology
  - LS1_6Glycobiology
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  - LS1_13Early translational research and drug design
  - LS1_14Innovative methods and modelling in molecular, structural and synthetic biology
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  - LS2_6Metagenomics
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  - LS4_1Organ and tissue physiology and pathophysiology
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  - LS4_2Comparative physiology
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  - LS4_13Other non-communicable diseases (except disorders of the nervous system and immunity-related diseases)
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  - LS3_7Mechanobiology of cells, tissues and organs
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  - LS3_17Theoretical modelling in cellular, developmental and regenerative biology
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  - LS3_1Cell cycle, cell division and growth
  - LS3_2Cell senescence, cell death, autophagy, cell ageing
- LS5Neuroscience and Disorders of the Nervous System
  - LS5_1Neuronal cells
  - LS5_3Neural development and related disorders
  - LS5_5Neural networks and plasticity
  - LS5_10Ageing of the nervous system
  - LS5_11Neurological and neurodegenerative disorders
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  - LS5_7Sensory systems, sensation and perception, including pain
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  - LS5_14Repair and regeneration of the nervous system
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  - LS5_16Systems and computational neuroscience (e.g. modelling, simulation, brain oscillations, connectomics)
  - LS5_18Innovative methods and tools for neuroscience
  - LS5_17Imaging in neuroscience
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  - LS5_4Neural stem cells
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  - LS9_6Marine biotechnology and bioengineering
  - LS9_7Environmental biotechnology and bioengineering
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SHSocial Sciences and Humanities
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