Exploring the optimal sensitivity of sum-variance nonseparability criteria for spin-1/2 systems

Irfan Ali Khan*, John C. Howell

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

The entanglement measures which use a sum of spin-variance criteria for two spin-1/2 particles were discussed. Three inequalities, which exhibited concatenating properties, showed greater sensitivities than a Bell's measurement while each requiring fewer measurements than a Bell's measurement to obtain. The simplest inequality requiring four measurements was efficient at testing for entanglement in down-conversion sources. Analysis shows that the most complex inequality, requiring twelve measurements shows a sensitivity equal to that of the Peres separability criterion for maximally polarized and Werner noise.

Original languageAmerican English
Article number062320
Pages (from-to)062320-1-062320-5
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume70
Issue number6
DOIs
StatePublished - Dec 2004
Externally publishedYes

Bibliographical note

Funding Information:
We gratefully acknowledge support from the NSF, the Research Corporation, and the University of Rochester.

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