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Optimal, universal quantum cloning
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Engineering and Physics.
2013 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesisAlternative title
Optimal, universell kvantkloning (Swedish)
Abstract [en]

The no-cloning theorem is one of the fundamental concepts of quantum information theory. It tells us that no general quantum state can be perfectly replicated. In this thesis we introduce the notion of imperfect cloning, and define the properties of the universal cloning machine. Furthermore, we construct an ansatz of how our universal cloning machine should perform as to produce two imperfect clones from one input qubit. We find an optimal fidelity of 5/6 for our universal cloning machine. We then reevaluate our ansatz and construct a class of unitary transformations such that an optimal fidelity is always achieved. Lastly, we present an overview of some applications of imperfect quantum cloning in the field of quantum information.

Place, publisher, year, edition, pages
2013. , 45 p.
Keyword [en]
quantum cloning, qubit, quantum information
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kau:diva-28341Local ID: FY:1OAI: oai:DiVA.org:kau-28341DiVA: diva2:634295
Subject / course
Physics
Supervisors
Examiners
Available from: 2013-08-20 Created: 2013-06-29 Last updated: 2013-08-20Bibliographically approved

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