Add to ORKGWe 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 dimen-sions. For a series of ranks extremal PPT states are found. The results are listed in tables and charted in diagrams. Comparison of the results for systems of different dimensions reveal several regularities. We discuss lower and upper bounds on the ranks of extremal PPT states.
Bipartite entanglement between two parties of a composite quantum system can be quantified in terms ...
We give a canonical form of PPT states in ${\cal C}^2 \otimes {\cal C}^2\otimes {\cal C}^2 \otimes {...
We find the minimum and the maximum value for the local energy of an arbitrary finite bipartite syst...
In this master thesis I study the extremal positive partial transpose (PPT) states of the three qubi...
We have studied mixed quantum states in the system of three qubits with the property that all their ...
We show that a bipartite state on a tensor product of two matrix algebras is almost surely entangled...
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Conselho Nacional de Desenvolvime...
We derive a lower bound for the concurrence of mixed bipartite quantum states, valid in arbitrary di...
10.1088/1751-8113/44/28/285303Journal of Physics A: Mathematical and Theoretical4428
We explore the relation between the rank of a density matrix and the existence of bound entanglement...
In the general framework of d1 x d2 mixed states, we derive an explicit bound for bipartite negative...
Euclidean volume ratios between quantum states with positive partial transpose and all quantum state...
Determining the properties of quantum many-body systems is a central challenge in modern physics. Be...
11 pages, no figures.-- MSC2000 code: 81P68.-- PACS nrs.: 03.67.Mn, 03.65.Ud.-- ArXiv pre-print avai...
We present a simple numerical optimization procedure to search for highly entangled states of 2, 3, ...
Bipartite entanglement between two parties of a composite quantum system can be quantified in terms ...
We give a canonical form of PPT states in ${\cal C}^2 \otimes {\cal C}^2\otimes {\cal C}^2 \otimes {...
We find the minimum and the maximum value for the local energy of an arbitrary finite bipartite syst...
In this master thesis I study the extremal positive partial transpose (PPT) states of the three qubi...
We have studied mixed quantum states in the system of three qubits with the property that all their ...
We show that a bipartite state on a tensor product of two matrix algebras is almost surely entangled...
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Conselho Nacional de Desenvolvime...
We derive a lower bound for the concurrence of mixed bipartite quantum states, valid in arbitrary di...
10.1088/1751-8113/44/28/285303Journal of Physics A: Mathematical and Theoretical4428
We explore the relation between the rank of a density matrix and the existence of bound entanglement...
In the general framework of d1 x d2 mixed states, we derive an explicit bound for bipartite negative...
Euclidean volume ratios between quantum states with positive partial transpose and all quantum state...
Determining the properties of quantum many-body systems is a central challenge in modern physics. Be...
11 pages, no figures.-- MSC2000 code: 81P68.-- PACS nrs.: 03.67.Mn, 03.65.Ud.-- ArXiv pre-print avai...
We present a simple numerical optimization procedure to search for highly entangled states of 2, 3, ...
Bipartite entanglement between two parties of a composite quantum system can be quantified in terms ...
We give a canonical form of PPT states in ${\cal C}^2 \otimes {\cal C}^2\otimes {\cal C}^2 \otimes {...
We find the minimum and the maximum value for the local energy of an arbitrary finite bipartite syst...