Quantum coding in non-inertial frames

TL;DR

This paper investigates how acceleration affects quantum channel capacities and coding, showing that capacities depend on the frame and initial entanglement, with decay in information as acceleration increases.

Contribution

It analyzes the impact of non-inertial frames on quantum channel capacity and demonstrates how initial entanglement influences information decay in accelerated quantum channels.

Findings

Channel capacities depend on the frame of observation and initial shared states.

Capacities decay with increasing acceleration, faster for maximally entangled states.

Decoded information decreases with acceleration, reaching a bound influenced by initial entanglement.

Abstract

The capacity of accelerated channel is investigated for different classes of initial states. It is shown that, the capacities of the travelling channels depend on the frame in which the accelerated channels are observed in and the initial shared state between the partners. In some frames, the capacities decay as the accelerations of both qubit increase. The decay rate is larger if the partners are initially share a maximum entangled state. The possibility of using the accelerated quantum channels to perform quantum coding protocol is discussed. The amount of decoded information is quantified for different cases, where it decays as the partner's accelerations increase to reach its minimum bound. This minimum bound depends on the initial shared states and it is large for maximum entangled state.