Upper bound and shareability of quantum discord based on entropic uncertainty relations
arXiv:1301.7240 · doi:10.1103/PhysRevA.88.014105
Abstract
By using the quantum-memory-assisted entropic uncertainty relation (EUR), we derive a computable tight upper bound for quantum discord, which applies to an arbitrary bipartite state. Detailed examples show that this upper bound is tighter than other known bounds in a wide regime. Furthermore, we show that for any tripartite pure state, the quantum-memory-assisted EUR imposes a constraint on the shareability of quantum correlations among the constituent parties. This conclusion amends the well accepted result that quantum discord is not monogamous.
5 pages, 1 figure, the final version as that published in Phys. Rev. A
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