Citation Link: https://doi.org/10.1088/1367-2630/ad0526
Interplays between classical and quantum entanglement-assisted communication scenarios
Publication Type
Article
Subjects
Quantum entanglement
Physics
Quantum information science
Quantum
Quantum key distribution
Dimension (graph theory)
Coding (social sciences)
Resource (disambiguation)
Key (lock)
Measure (data warehouse)
Theoretical computer science
Topology (electrical circuits)
Computer science
Quantum mechanics
Computer network
Computer security
Pure mathematics
Mathematics
Date Issued
2023
Abstract
Prepare-and-measure scenarios ( pm ), in their many forms, can be seen as the basic building blocks of communication tasks. As such, they can be used to analyze a diversity of classical and quantum protocols—of which dense coding and random access codes are key examples—in a unified manner. In particular, the use of entanglement as a resource in pm scenarios have only recently started to be systematically investigated, and many crucial questions remain open. In this work, we explore such scenarios and provide answers to some seminal questions. More specifically, we show that, in scenarios where entanglement is a free resource, quantum messages are equivalent to classical ones with twice the capacity. We also prove that, in such scenarios, it is always advantageous for the parties to share entangled states of dimension greater than the transmitted message. Finally, we show that unsteerable states cannot provide advantages in classical communication tasks, thus proving that not all entangled states are useful resources in these scenarios.
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