Effect of Gravitational Frame Dragging on Orbiting Qubits

TL;DR

This paper investigates how gravitational frame dragging in Kerr spacetime affects the quantum states of orbiting qubits, deriving analytical and numerical results while considering cosmic censorship constraints.

Contribution

It provides analytical expressions for Wigner rotations of qubits in Kerr spacetime and explores the implications of cosmic censorship on these quantum effects.

Findings

Derived analytical formulas for Wigner rotations in Kerr spacetime

Numerical integration of Wigner rotations along particle trajectories

Identified bounds imposed by cosmic censorship hypothesis

Abstract

In this paper we discuss the effect of gravitational frame dragging on orbiting qubits. In particular, we consider the Kerr spacetime geometry and spin-1/2 qubits moving in an equatorial radial fall with zero angular momentum and equatorial circular orbits. We ignore the ${\cal O}(\hbar)$ order effects due to spin-curvature coupling, which allows us to consider the motion of the spin-1/2 particles as Kerr geometry geodesics. We derive analytical expressions for the infinitesimal Wigner rotation and numerical results for their integration across the length of the particle's trajectory. To this end, we consider the bounds on the finite Wigner rotation imposed by Penrose's cosmic censorship hypothesis.