Indefinite Temporal Order on a Superposition of Spherical Shells

Explore the concept of indefinite temporal order in quantum theory through a lecture on a novel protocol for implementing a gravitational quantum switch. Delve into the origins of this field, rooted in attempts to construct a theory of quantum gravity, and understand its operational exploration through the actions of agents Alice and Bob. Examine the quantum switch as the simplest example of indefinite order, where operation sequencing is entangled with a quantum control system. Learn about a recent advancement involving a freely falling agent crossing the interior of massive spherical shells in superposition, becoming entangled with spacetime geometry. Discover how this entanglement serves as a resource for controlling operation order in the quantum switch implementation, drawing parallels to Einstein's elevator thought experiment. Gain insights into the universal nature of this protocol, which functions independently of the specific operations performed within the agents' laboratories.