Publisher Correction: Topological optical differentiator

Compact optical temporal differentiator based on silicon microring resonator.

We propose and experimentally demonstrate a temporal differentiator in optical field based on a silicon microring resonator with a radius of 40 microm. The microring resonator operates near the critical coupling region, and can take the first order derivative of the optical field. It features compact size thus is suitable for integration with silicon-on-insulator (SOI) based optical and electro...

Publisher Correction: Interferometer techniques for gravitational-wave detection

Publisher Correction: Hysteresis of ligand binding in CNGA2 ion channels

This corrects the article DOI: 10.1038/ncomms3866.

Topological Quantum Error Correction

Interest in developing quantum computers stems from their ability to solve in polynomial time several important problems that are only classically solvable in exponential time. One significant hurdle facing the actual implementation of a quantum computer is the need for error correction code to make reliable quantum memory in the presence of errors, such as measurement errors and decoherence. H...

Topological Correction of Subcortical Segmentation

We propose a method for automatically correcting the spherical topology of any segmentation under any digital connectivity. A multiple region growing process, concurrently acting on the foreground and the background, divides the segmentation into connected components and successive minimum cost decisions guarantee convergence to correct spherical topology. In contrast to existing procedures tha...