Abstract

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.

Date

January 1, 1970

Authors

Amir Kalev, Joonwoo Bae

Journal

Physical Review A—Atomic, Molecular, and Optical Physics

Volume

87

Issue

6

Pages

062314

Publisher

American Physical Society