Quantum switch in the gravity of Earth

We introduce a protocol for a quantum switch in the gravitational field of a spherical mass and determine the time interval required for its realization in the gravity of Earth. One of the agents that performs operations with indefinite order is a quantum system in a path-superposition state. Entanglement between its proper time and position is explored as a resource for the implementation of the quantum switch. The realization of the proposed protocol would probe the physical regime described by quantum mechanics on curved spacetimes, which has not yet been explored experimentally.

Automated summary

This study introduces a protocol for a quantum switch in the gravitational field of a spherical mass, exploring the path-superposition state of a quantum system and entanglement between its proper time and position as resources for implementation. The realization of this protocol would help probe the physical regime described by quantum mechanics on curved spacetimes which has not been experimentally explored yet.