Optimal approximate transpose map via quantum designs and its applications to entanglement detection
Optimal approximate transpose map via quantum designs and its applications to entanglement detection
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 …