Invariant information and complementarity in high-dimensional states

Wei Song, Zeng‐Bing Chen · Physical Review A · 2007

Using a generalization of the invariant information introduced by Brukner and Zeilinger [Phys. Rev. Lett. 83, 3354 (1999)] to high-dimensional systems, we introduce a complementarity relation between the local and nonlocal information for $d\ifmmode\times\else\texttimes\fi{}d$ systems under an isolated environment, where $d$ is prime or a power of a prime number. We also analyze the dynamics of the local information in the decoherence process.

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