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arXiv · 1308.4340

Complementarity of Quantum Correlations in Cloning and Deleting of Quantum State

Sk Sazim·Indranil Chakrabarty·Anewsha Datta·Arun K. Pati
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Abstract

We quantify the amount of correlation generated between two different output modes in the process of im- perfect cloning and deletion processes. We use three different measures of correlations and study their role in determining the fidelity of the cloning and deletion. We obtain a bound on the total correlation generated in the successive process of cloning and deleting operations. This displays a new kind of complementary relationship between the quantum correlation required in generating a copy of a quantum state and the amount of correlation required in bringing it back to the original state by deleting and vice versa. Our result shows that better we clone (delete) a state, more difficult it will be to bring the state back to its original form by the process of deleting (cloning).

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Sk Sazim, Indranil Chakrabarty, Anewsha Datta, Arun K. Pati. 2015-06-04. Complementarity of Quantum Correlations in Cloning and Deleting of Quantum State. https://doi.org/10.1103/physreva.91.062311

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