Werner states and the two-spinors Heisenberg anti-ferromagnet
arXiv:quant-ph/0603055 · doi:10.1016/j.physleta.2005.06.001
Abstract
We ascertain, following ideas of Arnesen, Bose, and Vedral concerning thermal entanglement [Phys. Rev. Lett. {\bf 87} (2001) 017901] and using the statistical tool called {\it entropic non-triviality} [Lamberti, Martin, Plastino, and Rosso, Physica A {\bf 334} (2004) 119], that there is a one to one correspondence between (i) the mixing coefficient of a Werner state, on the one hand, and (ii) the temperature of the one-dimensional Heisenberg two-spin chain with a magnetic field along the axis, on the other one. This is true for each value of below a certain critical value . The pertinent mapping depends on the particular value one selects within such a range.