Additional information decreases the estimated entanglement using the Jaynes principle

Details Additional information decreases the estimated entanglement using the Jaynes principle Additional information decreases the estimated entanglement using the Jaynes principle

2008-01-13

arxiv.org/abs/0801.1944v2

J. Stat. Mech. (2008) P03020

Physics

Quantum Physics

To appear in Journal of Statistical Mechanics: Theory and Experiment

Scientific paper

10.1088/1742-5468/2008/03/P03020

We study a particular example considered in {[Phys. Rev. A {\bf 59,} 1799 (1999)]}, concerning the statistical inference of quantum entanglement using the Jaynes principle. Assume a Clauser-Horne-Simony-Holt (CHSH) Bell operator, a sum of two operators $\sqrt{2}(X+Z)$. Given only an average of the Bell-CHSH operator, we may overestimate entanglement. However, the estimated entanglement is decreased (never increases) when we use the expectation value of the operator $X$ as additional information. A minimum entanglement state is obtained by minimizing the variance of the observable $X$.

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