Generalized disorder measures and the detection of quantum entanglement

ROSSIGNOLI; N. CANOSA

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS

Elsevier

Lugar: Amsterdam; Año: 2004 vol. 344 p. 637 - 643

0378-4371

We discuss the main properties of general non-additive entropic forms based on  arbitrary concave functions and their relation with the theory of majorization.  As application, we examine the generalized entropic criterion for separability  of mixed states of composite quantum systems, where non-additive disorder  measures play a fundamental role. These features are then analyzed in two-qubit  and two qudit systems, where it is seen that the von Neumann based criterion is  especially weak for detecting entanglement, in contrast with those based on the  Tsallis and other non-additive disorder measures.