Invariant information and complementarity in high-dimensional states

Physics – Quantum Physics

Scientific paper

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4 pages, 2 figures

Scientific paper

10.1103/PhysRevA.76.014307

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

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