1303.3096 (Amir Kalev et al.)

Optimal approximate transpose map via quantum designs and its
applications to entanglement detection    [PDF]

Amir Kalev, Joonwoo Bae

We show that quantum designs characterize the general structure of the optimal approximation of the transpose map on quantum states. Based on this characterization, we propose an implementation of the approximate transpose map by a measurement-and-preparation scheme. The results show that state-manipulation in quantum two-designs suffices for transpose-based quantum information applications. In particular, we present how these results can be applied to the framework of detecting multipartite entangled states, for instance, when local measurements or interferometry-based experimental approaches are applied.

View original: http://arxiv.org/abs/1303.3096