Entaglement sharing protocol via quantum error correcting code

dc.contributor.advisorSanders, Barry C.
dc.contributor.advisorGour, Gilad
dc.contributor.authorChoi, Ran Hee
dc.date.accessioned2017-12-18T22:35:06Z
dc.date.available2017-12-18T22:35:06Z
dc.date.issued2012
dc.descriptionBibliography: p. 74-79en
dc.description.abstractQuantum secret sharing concerns secure and reliable distribution of classical or quantum information by a dealer to a set of "players" such that authorized subsets of players can access full information and unauthorized subsets are denied any information what­soever. Exploiting quantum secret sharing concepts and techniques, I introduce a new protocol of "entanglement sharing" wherein half of maximally entangled bipartite states arc encrypted into multipartitc states in such a way that unauthorized players can only establish shared separable (not entangled) states with the dealer. Only authorized sub­sets of players obtain entangled states, which enable quantum information tasks such as quantum teleportation. Entanglement sharing can reduce the size of shares to individual players by half depending on the choice of encoding operation, as I show with the [[4, 2, 2]] stabilizer code. In fact, the [[4, 2, 2]] stabilizer code induces an optimal and threshold entanglement sharing scheme. Furthermore, I propose a new secrecy condition of quantum ramp secret sharing based on the bipartite setting of entanglement sharing. Ramp secret sharing relieves the band­width requirement of a protocol by reducing the size of shares at a cost of information leakage. Although quantum ramp secret sharing has been studied, to date it has been a challenge to classify leaked information. In this thesis, I define classical and quantum information with respect to the channels through which information is transmitted, and determine whether the information leakage is classical or quantum. Finally, I establish hybrid entanglement sharing by introducing classical shares in non-perfect entanglement sharing schemes. Hybrid entanglement sharing exploits a tech­nique of locking entanglement with classical information, and can be devised from any quantum error correcting code.
dc.format.extentviii, 84 leaves : ill. ; 30 cm.en
dc.identifier.citationChoi, R. H. (2012). Entaglement sharing protocol via quantum error correcting code (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/4931en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/4931
dc.identifier.urihttp://hdl.handle.net/1880/105932
dc.language.isoeng
dc.publisher.institutionUniversity of Calgaryen
dc.publisher.placeCalgaryen
dc.rightsUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.
dc.titleEntaglement sharing protocol via quantum error correcting code
dc.typemaster thesis
thesis.degree.disciplinePhysics and Astronomy
thesis.degree.grantorUniversity of Calgary
thesis.degree.nameMaster of Science (MSc)
ucalgary.item.requestcopytrue
ucalgary.thesis.accessionTheses Collection 58.002:Box 2104 627942974
ucalgary.thesis.notesUARCen
ucalgary.thesis.uarcreleaseyen
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