Jordan products of quantum channels and their compatibility

Establishing whether two quantum channels are compatible is a fundamental problem in quantum information. Here, the authors prove its equivalence to the quantum state marginal problem, introduce an efficient way to solve both, and draw further connection to the measurement compatibility problem.

Bibliographic Details
Main Authors: Mark Girard, Martin Plávala, Jamie Sikora
Format: Article
Language:English
Published: Nature Publishing Group 2021-04-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-021-22275-0