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.
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Mukherjee, K., Karmakar, S., Paul, B. et al. Detecting two qubit both-way positive discord states. Eur. Phys. J. D 73, 188 (2019). https://doi.org/10.1140/epjd/e2019-100100-8
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DOI: https://doi.org/10.1140/epjd/e2019-100100-8