Quantum switch in the gravity of Earth

TL;DR

This paper proposes a protocol for implementing a quantum switch influenced by Earth's gravity, exploring the interplay of quantum mechanics and curved spacetime, and outlining the experimental feasibility of such a setup.

Contribution

It introduces a novel protocol for a gravitational quantum switch using superposition states, bridging quantum information and general relativity.

Findings

Protocol for a gravitational quantum switch is feasible within Earth's gravity.

Entanglement between proper time and position is key resource.

Experimental parameters for realization are estimated.

Abstract

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 perform 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.