Locally accessible information of multisite quantum ensembles violates entanglement monogamy
Aditi Sen, Ujjwal Sen · Physical Review A · 2012
We find that locally accessible information of multiparty quantum ensembles have properties akin to quantum as well as classical correlations of single multiparty quantum states. It satisfies monotonicity under local quantum operations and classical communication. However, we show that it does not follow monogamy, an important property usually satisfied by quantum correlations, and actually violates any such relation to the maximal extent. We find an operational sufficient criterion for violation of monogamy. Violation is obtained even for locally indistinguishable, but globally orthogonal, multisite ensembles. The results assert that while single multiparty quantum states are monogamous with respect to their shared quantum correlations, ensembles of multiparty quantum states may not be so.