Abstract | ||
---|---|---|
We apply the generalised concept of witness operators to arbitrary convex sets, andreview the criteria for the optimisation of these general witnesses. We then define anembedding of state vectors and operators into a higher dimensional Hilbert space, Thisembedding leads to a connecoon between any Schmidt number witness in the originalHilbert space and a witness for Schmidt number two (i.e. the most general entangle-ment witness) in the appropriate enlarged Hilbert space. Using this relation we arriveat a conceptually simple method for the construction of Schmidt number witnesses inbipartite systems. |
Year | Venue | Keywords |
---|---|---|
2004 | Quantum Information & Computation | schmidt number,general entangle-ment witness,appropriate enlarged hilbert space,conceptually simple method,higher dimensional hilbert space,witness operator,higher-dimensional embeddings,schmidt number witness,general witness,originalhilbert space,witness operators,arbitrary convex set,classification of entanglement,convex set,hilbert space |
Field | DocType | Volume |
Hilbert space,Discrete mathematics,Pure mathematics,Witness,Regular polygon,Operator (computer programming),Schmidt number,Mathematics | Journal | 4 |
Issue | ISSN | Citations |
3 | Quant. Inf. Comp. 4, 207 (2004) | 2 |
PageRank | References | Authors |
0.63 | 0 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Florian Hulpke | 1 | 2 | 0.63 |
Dagmar Bruss | 2 | 18 | 2.60 |
Maciej Lewenstein | 3 | 4 | 4.16 |
A. Sanpera | 4 | 2 | 0.97 |