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undergraduate thesis
Kvantno ispravljanje pogrešaka
Split: University of Split, Faculty of Science, 2023. urn:nbn:hr:166:663405
Žilić, Frane
University of Split
Faculty of Science
Department of Physics

Institutional repository: Repository of Faculty of Science

Cite this document

Žilić, F. (2023). Kvantno ispravljanje pogrešaka (Undergraduate thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:663405

Žilić, Frane. "Kvantno ispravljanje pogrešaka." Undergraduate thesis, University of Split, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:166:663405

Žilić, Frane. "Kvantno ispravljanje pogrešaka." Undergraduate thesis, University of Split, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:166:663405

Žilić, F. (2023). 'Kvantno ispravljanje pogrešaka', Undergraduate thesis, University of Split, Faculty of Science, accessed 23 November 2024, https://urn.nsk.hr/urn:nbn:hr:166:663405

Žilić F. Kvantno ispravljanje pogrešaka [Undergraduate thesis]. Split: University of Split, Faculty of Science; 2023 [cited 2024 November 23] Available at: https://urn.nsk.hr/urn:nbn:hr:166:663405

F. Žilić, "Kvantno ispravljanje pogrešaka", Undergraduate thesis, University of Split, Faculty of Science, Split, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:166:663405

Metadata
TitleKvantno ispravljanje pogrešaka
Title (english)Quantum Error Correction
AuthorFrane Žilić
MentorLeandra Vranješ Markić (mentor)
Committee memberLeandra Vranješ Markić (predsjednik povjerenstva)
Committee memberPetar Stipanović (član povjerenstva)
Committee memberIvana Weber (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Physics)
Split
Defense date and country2023-09-25, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
Rad služi kao uvod u područje kvantnog programiranja i ispravljanja pogrešaka u kvantnim računalima. Budući da je riječ o tehnologiji koja se brzo razvija i mnogo obećava, ovaj rad nastoji zadovoljiti interes za njom. Prvi dio opisuje qbitove kao osnovnu jedinicu za pohranjivanje podataka u kvantnom računarstvu te razvija matematički formalizam potreban za rad s njima. Nakon kratkog pregleda nekoliko fizikalnih realizacija qbita, uvode se kvantna vrata kojima se qbitom manipulira. Slijedi opis svojstava kvantnih sustava važnih za kvantno računarstvo. Kako je prevladavanje pogrešaka jedna od ozbiljnijih prepreka u razvoju kvantnih računala, rad se posebno bavi tom temom. Opisuju se osnovne vrste kvantnih pogrešaka te kodovi za njihovo ispravljanje. Razvija se stabilizacijski formalizam bitan za baratanje programima za ispravljanje pogrešaka. Napokon se konstruiraju neki složeniji kodovi koji mogu ispraviti pogreške u kvantnim sustavima: Shorov i Steaneov kod.
Abstract (english)
The paper is written as an introduction to quantum computing and quantum error correction. Recent advances have aroused much interest in the field, which this paper aims to satisfy. Firstly, the qbit is introduced as the elementary unit of data in quantum computing, along with the necessary mathematical formalism. After a short overview of qbit modalities, quantum gates used to manipulate them are described. Some properties of quantum systems important to quantum computing are detailed. Since overcoming errors is one of the main obstacles to development of quantum computing, the paper is focused on this topic. Elementary quantum errors are described along with their correction codes. Stabilizer formalism important for work with error correction programs is developed. Finally, a couple of complex quantum error correction codes are constructed: Shor’s code and Steane’s code.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:663405
Study programmeTitle: Physics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) fizike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) fizike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence Attribution 4.0 International (CC BY 4.0) icon
Created on2023-09-27 09:39:53