Various notions of positivity for bi-linear maps and applications to tri-partite entanglement
Journal Article
·
· Journal of Mathematical Physics
- Department of Mathematics and Institute of Mathematics, Seoul National University, Seoul 151-742 (Korea, Republic of)
We consider bi-linear analogues of s-positivity for linear maps. The dual objects of these notions can be described in terms of Schmidt ranks for tri-tensor products and Schmidt numbers for tri-partite quantum states. These tri-partite versions of Schmidt numbers cover various kinds of bi-separability, and so we may interpret witnesses for those in terms of bi-linear maps. We give concrete examples of witnesses for various kinds of three qubit entanglement.
- OSTI ID:
- 22479612
- Journal Information:
- Journal of Mathematical Physics, Vol. 57, Issue 1; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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