It is known that a reliable geometric quantifier of discord-like correlations can be built by employing the so-called trace distance, which is used to measure how far the state under investigation is from the closest 'classical-quantum' state. To date, the explicit calculation of this indicator for two qubits has only been accomplished for states where the reduced density matrix of the measured party is maximally mixed, a class that includes Bell-diagonal states. Here, we first reduce the required optimization for a general two-qubit state to the minimization of an explicit two-variable function. Using this framework, we show that the minimum can be analytically worked out in a number of relevant cases, including quantum-classical and X states. This provides an explicit and compact expression for the trace distance discord of an arbitrary state belonging to either of these important classes of density matrices.
|Titolo:||Toward computability of trace distance discord|
|Data di pubblicazione:||2014|
|Parole Chiave:||X-STATES; QUANTUM; ENTANGLEMENT; DYNAMICS|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1088/1367-2630/16/1/013038|
|Appare nelle tipologie:||1.1 Articolo in rivista|