Using the theory of quantum trajectories, we study the classical capacity $\mathbf{C}$ of noisy quantum channels in the superdense coding protocol. We apply the two models that generalize single-qubit noisy channels, such as amplitude damping and phase flip, to the many-qubit situation. Our numerical results show that the quantum trajectory approach is suitable for modeling the superdense coding protocol in realistic environments.Using the theory of quantum trajectories, we study the classical capacity $\mathbf{C}$ of noisy quantum channels in the superdense coding protocol. We apply the two models that generalize single-qubit noisy channels, such as amplitude damping and phase flip, to the many-qubit situation. Our numerical results show that the quantum trajectory approach is suitable for modeling the superdense coding protocol in realistic environments.

Physical Review AJun 2, 20066 citations

On the Theory of Low-Density Convolutional Codes

Karin Engdahl, Michael Lentmaier, Kamil Sh. Zigangirov

Lecture notes in computer scienceJan 1, 199935 citations

Distributed superdense coding over noisy channels

Z. Shadman, Hermann Kampermann, Dagmar Bruß +1 more

We study multipartite superdense coding in the presence of a covariant noisy channel. We investigate the case of many senders and one receiver, considering both unitary and nonunitary encoding. We study the scenarios where the senders apply local encoding or global encoding. We show that, up to some preprocessing on the original state, the senders cannot do better encoding than local, unitary encoding. We then introduce general Pauli channels as a significant example of covariant maps. Considering Pauli channels, we provide examples for which the superdense coding capacity is explicitly determined.We study multipartite superdense coding in the presence of a covariant noisy channel. We investigate the case of many senders and one receiver, considering both unitary and nonunitary encoding. We study the scenarios where the senders apply local encoding or global encoding. We show that, up to some preprocessing on the original state, the senders cannot do better encoding than local, unitary encoding. We then introduce general Pauli channels as a significant example of covariant maps. Considering Pauli channels, we provide examples for which the superdense coding capacity is explicitly determined.

arXiv:1203.1197Physical Review AMay 8, 201229 citations

List decoding for noisy channels

Peter Eliaš

Jan 1, 1957334 citations

Superdense Coding Through Repeaterless Hybrid Network of Depolarizing Quantum Communication Channels

Gokul Srinivasan, Shantom Kumar Borah, Sainath Bitragunta

Superdense coding is a fundamental protocol in quantum communication, which enables us to send two bits of information by the transmission of just a single qubit. In this paper, we consider superdense coding through a noisy quantum depolarizing channel. Following a simple calculation, we derive superdense coding capacity as a function of depolarizing probability. We extend this derivation to the scenario of repeaterless series-cascaded depolarizing channels and provide an elementary approach to evaluate the maximal intervals in which repeaters shall need to be placed in such a cascaded system. Finally, we validate the theoretical results via a Monte Carlo simulation, simultaneously providing a generalized framework. We believe that our numerical results serve as a useful benchmark and give a base to extend such simulations to other quantum channels.Superdense coding is a fundamental protocol in quantum communication, which enables us to send two bits of information by the transmission of just a single qubit. In this paper, we consider superdense coding through a noisy quantum depolarizing channel. Following a simple calculation, we derive superdense coding capacity as a function of depolarizing probability. We extend this derivation to the scenario of repeaterless series-cascaded depolarizing channels and provide an elementary approach to evaluate the maximal intervals in which repeaters shall need to be placed in such a cascaded system. Finally, we validate the theoretical results via a Monte Carlo simulation, simultaneously providing a generalized framework. We believe that our numerical results serve as a useful benchmark and give a base to extend such simulations to other quantum channels.

IEEE International Conference on Electronics, Computing and Communication Technologies (CONECCT)Jul 9, 20214 citations

Using the theory of quantum trajectories, we study the classical capacity

\mathbf{C}

of noisy quantum channels in the superdense coding protocol. We apply the two models that generalize single-qubit noisy channels, such as amplitude damping and phase flip, to the many-qubit situation. Our numerical results show that the quantum trajectory approach is suitable for modeling the superdense coding protocol in realistic environments.