# One-shot conclusive multiport quantum dense coding capacities

## TL;DR

This paper introduces a probabilistic one-shot quantum dense coding protocol for multiport scenarios, analyzing capacities of various shared states and revealing complex links between capacities and entanglement.

## Contribution

It presents a novel probabilistic protocol for one-shot quantum dense coding and explores its capacities across different quantum states, highlighting cases where standard encoders are insufficient.

## Key findings

- Identifies states where Pauli operators are inadequate as encoders.
- Establishes a connection between dense coding capacities and entanglement.
- Analyzes capacities for two-qubit, two-qutrit, and three-qubit states.

## Abstract

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.