Complementarity of Quantum Correlations in Cloning and Deleting of Quantum State
arXiv:1308.4340 · doi:10.1103/PhysRevA.91.062311
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).
10 pages, 3 figures, Accepted in Physical Review A
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