English

Detecting Two Qubit Both-Way Positive Discord States

Quantum Physics 2019-10-02 v1

Abstract

Quantum discord plays a pragmatic role in analyzing nonclassical feature of quantum correlations beyond entanglement. It is used in several information processing protocols which lacks sufficient amount of entanglement to be used as a resource. We have provided with an analytical method of detecting quantum discord of an arbitrary two qubit state. We have formulated a set of necessary and sufficient conditions for any two qubit state to be a both-way non-zero quantum discord state. As quantum discord is asymmetric in nature, we have framed the set of if and only if conditions for a two qubit state to be classical-quantum as well for it to be quantum-classical. Interestingly, not only correlation tensor but also local Bloch vector(corresponding to the classical party) plays a role for detecting the state to be a positive discord state.

Keywords

Cite

@article{arxiv.1906.08807,
  title  = {Detecting Two Qubit Both-Way Positive Discord States},
  author = {Kaushiki Mukherjee and Sumana Karmakar and Biswajit Paul and Debasis Sarkar},
  journal= {arXiv preprint arXiv:1906.08807},
  year   = {2019}
}

Comments

11 pages, latex2e, comments welcome

R2 v1 2026-06-23T09:59:21.536Z