We introduce a probabilistic version of the one-shot quantum dense coding protocol in both two- and multiport scenarios, and refer to it as conclusive quantum dense coding. Specifically, we analyze the corresponding capacities of two-qubit, two-qutrit, and three-qubit shared states. We identify cases where Pauli and generalized Pauli operators are not sufficient as encoders to attain the optimal one-shot conclusive quantum dense coding capacities. We find that there is a rich connection between the capacities, and the bipartite and multipartite entanglements of the shared state.
@article{arxiv.1903.11709,
title = {One-shot conclusive multiport quantum dense coding capacities},
author = {Chirag Srivastava and Anindita Bera and Aditi Sen De and Ujjwal Sen},
journal= {arXiv preprint arXiv:1903.11709},
year = {2019}
}