Quantum fidelity measures for mixed states.

Applications of quantum technology often require fidelities to quantify performance. These provide a fundamental yardstick for the comparison of two quantum states. While this is straightforward in the case of pure states, it is much more subtle for the more general case of mixed quantum states often found in practice.

Observation of the rose petal effect over single- and dual-scale roughness surfaces.

Rose petals exhibit superhydrophobicity with strong adhesion to pin water drops, known as the 'petal effect.' It is generally believed that the petal effect is attributed to dual-scale roughness, that is, the surface possesses both a nanostructure and a microstructure (Feng et al 2008 Langmuir 24 4114). In this study, we demonstrate that the dual-scale roughness is not a necessary condition for a surface of the petal effect.