Koji Nagata J. Stat. Mech. (2008) P03020 doi:10.1088/1742-5468/2008/03/P03020
Additional information decreases the estimated entanglement using the Jaynes principle
Koji Nagata
Show affiliationsWe study a particular example considered by Horodecki et al (1999 Phys. Rev. A 59 1799), 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 
. 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.
- Keywords
- PACS
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03.67.Mn Entanglement measures, witnesses, and other characterizations
- MSC
- Subjects
- Dates
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Issue 03 (March 2008)
Received 14 February 2008, accepted for publication 13 March 2008
Published 31 March 2008
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Additional information decreases the estimated entanglement using the Jaynes principle
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