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Due to decoherence, realistic quantum systems inevitably interact with theenvironment when quantum information is processed, which causes the loss ofquantum properties. As a fundamental issue of quantum properties, quantumcorrelations have attracted a lot of interests in recent years. Because of theimportance of high dimensional systems in quantum information, in this work, westudy the quantum correlations affected by the Markovian environment byconsidering the quantum correlations of qutrit-qutrit quantum systems measuredby the negativity and the geometric discord. The local noise channels coveredin this work includes dephasing, trit-flip, trit-phase-flip, and depolarisingchannels. We have also investigated the cases where the local decoherencechannels of two sides are identical and non-identical.

Quantum correlations in qutrit-qutrit systems under local quantum noise channels