Gravitational quantum switch on a superposition of spherical shells

Understand

In the absence of a complete theory of quantum gravity, phenomenological models built upon minimal assumptions have been explored for the analysis of possible quantum effects in gravitational systems.

• Implications of a superposition of geometries have been considered in such models, including the occurrence of processes with indefinite order.
• In a gravitational quantum switch, in particular, the order of operations applied by two agents on a target system is entangled with the state of the geometry.
• We consider a model describing the superposition of geometries produced by distinct arrangements of spherical mass shells, and show that a protocol for the implementation of a gravitational quantum switch can be formulated in such a system.