Details
| Original language | English |
|---|---|
| Pages (from-to) | 319-326 |
| Number of pages | 8 |
| Journal | Lett. Math. Phys. |
| Volume | 19 |
| Issue number | 4 |
| Publication status | Published - 1990 |
Abstract
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Lett. Math. Phys., Vol. 19, No. 4, 1990, p. 319-326.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Remarks on a quantum state extension problem
AU - Werner, Reinhard F.
PY - 1990
Y1 - 1990
N2 - The problem is considered of finding, for a given pair of states on C*-algebras Aotimes A and Aotimes A, a joint extension to Aotimes A otimes A. The fact that, in contrast to classical probability, such an extension may fail to exist, is related to the fact that different convex decompositions of the same quantum state need not have a common refinement. Improved necessary criteria for extensibility in terms of Bell's inequalities are derived, and are compared to the necessary and sufficient criteria, as well as to entropic bounds in the simplest case.
AB - The problem is considered of finding, for a given pair of states on C*-algebras Aotimes A and Aotimes A, a joint extension to Aotimes A otimes A. The fact that, in contrast to classical probability, such an extension may fail to exist, is related to the fact that different convex decompositions of the same quantum state need not have a common refinement. Improved necessary criteria for extensibility in terms of Bell's inequalities are derived, and are compared to the necessary and sufficient criteria, as well as to entropic bounds in the simplest case.
U2 - 10.1007/BF00429951
DO - 10.1007/BF00429951
M3 - Article
VL - 19
SP - 319
EP - 326
JO - Lett. Math. Phys.
JF - Lett. Math. Phys.
SN - 1573-0530
IS - 4
ER -