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Noncommutative Geometrical Structures of Multi-Qubit Entangled States
Stockholm University, Faculty of Science, Department of Physics.
2011 (English)In: International journal of theoretical physics, ISSN 0020-7748, E-ISSN 1572-9575, Vol. 50, no 5, 1486-1492 p.Article in journal (Refereed) Published
Abstract [en]

We study the noncommutative geometrical structures of quantum entangled states. We show that the space of a pure entangled state is a noncommutative space. In particular we show that by rewriting the coordinate ring of a conifold or the Segre variety we can get a q-deformed relation in noncommutative geometry. We generalized our construction into a multi-qubit state. We also in detail discuss the noncommutative geometrical structure of a three-qubit state.

Place, publisher, year, edition, pages
2011. Vol. 50, no 5, 1486-1492 p.
Keyword [en]
Quantum entanglement, Multipartite quantum systems, Noncommutative geometry, Complex projective space
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-68504DOI: 10.1007/s10773-010-0658-xISI: 000288804600016OAI: oai:DiVA.org:su-68504DiVA: diva2:473699
Note
authorCount :1Available from: 2012-01-07 Created: 2012-01-04 Last updated: 2017-12-08Bibliographically approved

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