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International Conference on Communications

Optimality of Sequential Decoding for the Bosonic Compound Channel

Florian Seitz, Janis Nötzel

Published Jun 9, 2024• 2 citations
Publisher

Abstract

Recent efforts in the design of communication systems have in addition to data rates embraced a focus on other metrics, such as round-trip latency. Data transmission over a channel is typically preceded by so-called pilot symbols, which let the receiver learn the channel conditions. Together with appropriate feedback, this allows for transmission at high data rates. Trading data rates for communication latency, a communication link may however avoid feedback and instead operate under channel uncertainty, in which case the accurate model is the compound channel. Further reductions of latency may be harnessed from quantum receiver design. In this work we focus in particular on the application of the sequential decoding approach to the bosonic compound channel with unknown phase rotations, loss parameters and thermal noise values. We show that sequential decoding is optimal.

DOI
10.1109/icc51166.2024.10622447

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It is a common belief that quantum key distribution systems are the one and only information-theoretically secure physical layer security protocol that enables secure data transmission without a need for the legitimate parties to have any channel knowledge. It is also known that this high security profile results in severe rate restrictions for the parties utilizing the quantum key distribution systems. This observation raises the question of whether quantifying the level of ignorance of the legitimate parties with regard to the channel parameters may enable us to navigate the large gray zone between insecure but highly performant systems on the one side and perfectly secure but highly non-performant systems on the other side. Indeed, by proving a capacity formula for the bosonic compound wiretap channel using the binary phase shift keying alphabet, we are able to quantify in this work exactly how channel uncertainty penalizes data transmission rates.
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This paper presents a novel approach to quantum information coding and decoding leveraging the unique properties of quantum entanglement. The core idea is to develop a self-adaptive system capable of dynamically adjusting encoding and decoding parameters based on the observed noise levels and channel losses within the quantum channel. This adaptive strategy aims to significantly improve the efficiency and reliability of quantum information transmission. The proposed framework utilizes a quantum decoherence model to accurately represent channel losses and employs an optimization algorithm rooted in quantum control theory to optimize the generation and measurement strategies of entangled states in real-time. The algorithm's objective is to minimize information loss. The key innovation lies in the system's ability to respond in real-time to fluctuating channel conditions, moving beyond the limitations of static encoding/decoding schemes commonly employed in existing quantum communication protocols. Mathematical models and formulations are presented to illustrate the design and optimization process, focusing on key performance metrics such as channel capacity and fidelity. The system's potential impact on future quantum communication networks is discussed.