Quantum coding in non-inertial frames

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

Unruh acceleration effect on the precision of parameter estimation

“…In this manuscript, the users Alice and Bob share a two-qubit state of X-type [21,20]. In the computational basis it can be written as,…”

Dense Coding and Quantum Memory Assisted Entropic Uncertainty Relations in a Two‐Qubit State Influenced by Dipole and Symmetric Cross Interactions

“…Many theoretical and experimental studies have been devoted to the dense coding capacity. [ 2–8 ] Generally, the amount of encoded classical information that might be transferred via chosen channel has been the Holevo quantity, where the maximum capacity of dense coding is expressed as [ 9 ] $$\begin{equation} \qquad\qquad\qquad\qquad\qquad\mathcal {\chi }=\mathcal {S}(\bar{\rho }_{AB})- \mathcal {S}(\rho _{AB}) \end{equation}$$where $$ \mathcal {S}(\bullet )=- \bullet \log _2 \bullet$$ is the von Neumann entropy. $$ \bar{\rho }_{AB}$$ denotes the average density state of the single ensemble for a two‐qubit channel state, where the sender encodes his information by performing a set of mutually orthogonal unitary transformations.…”

Immunity, Improving and Retrieving the lost entanglement of accelerated qubit-qutrit system via local Filtering

“…Some efforts have been done recently to investigate the survival amount of entanglement between different accelerated systems [12]. These accelerated states can be used to perform some quantum information tasks such as teleportation [13] and quantum coding [14]. Due to the acceleration, the entanglement between the accelerated partners decreases, where the decay rate depends on the initial acceleration and the dimension of the accelerated subsystem.…”