Physics – Quantum Physics
Scientific paper
2001-07-04
Journal of Physics A 34, 6443 (2001)
Physics
Quantum Physics
25 Revtex pages, 5 Postscript figures, submitted to J. Phys. A (Math. Gen.)
Scientific paper
10.1088/0305-4470/34/33/309
The inference of entangled quantum states by recourse to the maximum entropy principle is considered in connection with the recently pointed out problem of fake inferred entanglement [R. Horodecki, {\it et al.}, Phys. Rev. A {\it 59} (1999) 1799]. We show that there are operators $\hat A$, both diagonal and non diagonal in the Bell basis, such that when the expectation value $<\hat A>$ is taken as prior information the problem of fake entanglement is not solved by adding a new constraint associated with the mean value of $\hat A^2$ (unlike what happens when the partial information is given by the expectation value of a Bell operator). The fake entanglement generated by the maximum entropy principle is also studied quantitatively by comparing the entanglement of formation of the inferred state with that of the original one.
Batle J.
Casas M.
Plastino Angel
Plastino Angel R.
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