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pro vyhledávání: '"Sollid, Per Øyvind"'
We study extremal entanglement witnesses on a bipartite quantum system. We define the cone of witnesses as the dual of the set of separable density matrices, thus $\textrm{Tr}\,\Omega\rho\geq 0$ when $\Omega$ is a witness and $\rho$ a pure product st
Externí odkaz:
http://arxiv.org/abs/1305.2385
It is known that entangled mixed states that are positive under partial transposition (PPT states) must have rank at least four. In a previous paper we presented a classification of rank four entangled PPT states which we believe to be complete. In t
Externí odkaz:
http://arxiv.org/abs/1104.1519
In bipartite quantum systems of dimension 3x3 entangled states that are positive under partial transposition (PPT) can be constructed with the use of unextendible product bases (UPB). As discussed in a previous publication all the lowest rank entangl
Externí odkaz:
http://arxiv.org/abs/1104.1318
It is known how to construct, in a bipartite quantum system, a unique low rank entangled mixed state with positive partial transpose (a PPT state) from an unextendible product basis (a UPB), defined as an unextendible set of orthogonal product vector
Externí odkaz:
http://arxiv.org/abs/1003.1221
Publikováno v:
Phys. Rev. A 81, 062329 (2010)
We report here on the results of numerical searches for PPT states with specified ranks for density matrices and their partial transpose. The study includes several bipartite quantum systems of low dimensions. For a series of ranks extremal PPT state
Externí odkaz:
http://arxiv.org/abs/1002.1949
Akademický článek
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Autor:
Sollid, Per Øyvind
Publikováno v:
Sollid, Per Øyvind. Electromagnetism and Geometry. Masteroppgave, University of Oslo, 2007
Externí odkaz:
http://hdl.handle.net/10852/10987
https://www.duo.uio.no/bitstream/handle/10852/10987/1/thesis.pdf
https://www.duo.uio.no/bitstream/handle/10852/10987/1/thesis.pdf
Autor:
Sollid, Per Øyvind
Publikováno v:
Sollid, Per Øyvind. Entanglement and geometry. Doktoravhandling, University of Oslo, 2011
Externí odkaz:
http://hdl.handle.net/10852/11010
https://www.duo.uio.no/bitstream/handle/10852/11010/3/dravhandling-sollid.pdf
https://www.duo.uio.no/bitstream/handle/10852/11010/3/dravhandling-sollid.pdf