Quantum Shannon theory with superpositions of trajectories

Understand

Shannon's theory of information was built on the assumption that the information carriers were classical systems.

• Its quantum counterpart, quantum Shannon theory, explores the new possibilities arising when the information carriers are quantum systems.
• Traditionally, quantum Shannon theory has focussed on scenarios where the internal state of the information carriers is quantum, while their trajectory is classical.
• Here we propose a second level of quantisation where both the information and its propagation in spacetime is treated quantum mechanically.