English

Complementarity of Quantum Correlations in Cloning and Deleting of Quantum State

Quantum Physics 2015-06-11 v3

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).

Keywords

Cite

@article{arxiv.1308.4340,
  title  = {Complementarity of Quantum Correlations in Cloning and Deleting of Quantum State},
  author = {Sk Sazim and Indranil Chakrabarty and Anewsha Datta and Arun K. Pati},
  journal= {arXiv preprint arXiv:1308.4340},
  year   = {2015}
}

Comments

10 pages, 3 figures, Accepted in Physical Review A