Mixed state sensitivity of several quantum information benchmarks
arXiv:quant-ph/0407172 · doi:10.1103/PhysRevA.70.052309
Abstract
We investigate an imbalance between the sensitivity of the common state measures--fidelity, trace distance, concurrence, tangle, von Neumann entropy and linear entropy--when acted on by a depolarizing channel. Further, in this context we explore two classes of two-qubit entangled mixed states. Specifically, we illustrate a sensitivity imbalance between three of these measures for depolarized (i.e., Werner-state like) nonmaximally entangled and maximally entangled mixed states, noting that the size of the imbalance depends on the state's tangle and linear entropy.
6 pages, 3 figures; corrected typos and expression (17)