Dense coding with mixed state and steerability

TL;DR

This paper investigates the dense coding capabilities of mixed quantum states, such as Werner and isotropic states, revealing that steerability does not always imply dense codeability across different parameter ranges.

Contribution

It provides a detailed analysis of the relationship between steerability and dense coding ability in mixed states for qubit and qutrit systems, highlighting the nuanced connection.

Findings

Werner states are dense codeable within a specific parameter range.

Steerability does not necessarily imply dense codeability.

For isotropic states, dense codeability occurs only in a subset of the steerable range.

Abstract

Mixed state can be used in dense coding. We have analyzed here that maximally entangled mixed states like Werner state is dense codeable for a certain range of state parameter whereas for some wider range of the state parameter the state is $`$steerable' but cannot be used in dense coding. For qutrit system we consider isotropic states and have found similar characteristics, like the states are $`$steerable' for a range of state parameter but for a sub range of that steerability range only, the states are dense-codeable.