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Experimentell prövning av Mermin- Peres Magiska Kvadrat på IBMs 5- kvantbitsdator
KTH, School of Engineering Sciences (SCI).
2019 (Swedish)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesisAlternative title
Experimental test of Mermin-Peres Magic Square on IBM's 5-qubit Quantum Computer (English)
Abstract [sv]

Kvantmekanikens giltighet har varit ett stort diskussionsämne under det senaste århundradet. Einstein, Podolsky och Rosen försökte visa ofullständigheten hos kvantmekanik, där deras huvudsakliga kritik hängde på den inneboende icke-lokaliteten hos kvantmekaniska fenomen. Så kallade dolda variabel-teorem föreslogs som en mer grundläggande beskrivning av verkligheten. Bell och Kochen-Specker teoremerna utvecklades senare och placerade begränsningar på arten av sådana dolda-variabla teorier. Kochen-Specker teoremet säger att ingen icke-kontextuell dold variabel-teori kan reproducera kvantmekanikens förutsägelser. I den här rapporten är ett experimentellt bevis av Kochen-Specker teoremet i ett Hilbert rum av dimension 4, känd som Mermin-Peres Magiska Kvadrat, implementerad på IBMs offentligt tillgängliga kvantdator med fem kvantbitar. Det visas att de erhållna resultaten inte kan förklaras av en modell som ansätter förutbestämda mätvärden, det vill säga en modell som antar realism.

 

Abstract [en]

The validity of the theory of quantum mechanics has been a major topic of discussion for the past century. Einstein, Podolsky, and Rosen famously attempted to show the incompleteness of quantum mechanics, their main criticism hinging on the inherent nonlocality of quantum mechanical phenomena. So-called Hidden-variable theories were proposed as a more fundamental description of reality. The Bell and Kochen-Specker theorems, developed later on, placed limitations on the nature of such Hidden-variable theories. The Kochen-Specker theorem states that no non-contextual Hidden-variable theory is able to reproduce the predictions of quantum mechanics. In this paper an experimental proof of the Kochen-Specker theorem in Hilbert space of dimension four -- known as the Mermin-Peres Magic Square -- is implemented on IBM's publicly available five qubit quantum computer. It is shown that the resulting data cannot be explained by a model assuming measurement results can be predetermined, i.e. a model assuming realism.

Place, publisher, year, edition, pages
2019.
Series
TRITA-SCI-GRU ; 2019:135
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-254792OAI: oai:DiVA.org:kth-254792DiVA, id: diva2:1335357
Supervisors
Examiners
Available from: 2019-07-05 Created: 2019-07-05 Last updated: 2019-07-05Bibliographically approved

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