Relativistic (2,3)-threshold quantum secret sharing

TL;DR

This paper develops a relativistic quantum secret sharing protocol that accounts for non-inertial motion, analyzing how acceleration impacts fidelity and characterizing the associated Gaussian channels for secure quantum communication.

Contribution

It introduces a (2,3)-threshold quantum secret sharing scheme in non-inertial frames and characterizes the relativistic effects as Gaussian channels affecting fidelity.

Findings

Fidelity decreases with acceleration due to relativistic effects

The Gaussian channel form is fully characterized for non-inertial motion

Relativistic effects can be incorporated into quantum information protocols

Abstract

In quantum secret sharing protocols, the usual presumption is that the distribution of quantum shares and players' collaboration are both performed inertially. Here we develop a quantum secret sharing protocol that relaxes these assumptions wherein we consider the effects due to the accelerating motion of the shares. Specifically, we solve the (2,3)-threshold continuous-variable quantum secret sharing in non-inertial frames. To this aim, we formulate the effect of relativistic motion on the quantum field inside a cavity as a bosonic quantum Gaussian channel. We investigate how the fidelity of quantum secret sharing is affected by non-uniform motion of the quantum shares. Furthermore, we fully characterize the canonical form of the Gaussian channel which can be utilized in quantum information processing protocols to include relativistic effects.