We present a reliable algorithm to evaluate quantum discord for general two-qubit states, amending and extending an approach recently put forward for the subclass of X states. A closed expression for the discord of arbitrary states of two qubits cannot be obtained, as the optimization problem for the conditional entropy requires the solution to a pair of transcendental equations in the state parameters. We apply our algorithm to run a numerical comparison between quantum discord and an alternative, computable measure of nonclassical correlations, namely, the geometric discord. We identify the extremally nonclassically correlated two-qubit states according to the (normalized) geometric discord, at a fixed value of the conventional quantum discord. The latter cannot exceed the square root of the former for systems of two qubits. © 2011 American Physical Society.
Quantum discord for general two-qubit states: Analytical progress / Girolami, D.; Adesso, G.. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - 83:5(2011), p. 052108.
|Titolo:||Quantum discord for general two-qubit states: Analytical progress|
|Data di pubblicazione:||2011|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1103/PhysRevA.83.052108|
|Appare nelle tipologie:||1.1 Articolo in rivista|