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International Journal of Information & Communication Technology Research

Classical-Quantum Multiple Access Channel with Secrecy Constraint: One-Shot Rate Region

Hadi Aghaee, Bahareh Akhbari

Published Apr 1, 2020• 2 citations
Publisher

Abstract

In this paper, we aim to study a -user quantum multiple access wiretap channel with an arbitrary number of wiretappers under one-shot setting. In this regard, we first introduce the general quantum multiple access wiretap channel and the simplified proposed channel. Then, we calculate an achievable secrecy rate region for the main channel with two users. The encoding process uses the superposition and wiretap coding techniques, and the decoding technique is based on the simultaneous decoder. Also, Convex splitting is used to satisfy security requirements. At last, we extend the results to the l-user case.

DOI
10.52547/ijict.12.2.1

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In this paper, we aim to study a -user quantum multiple access wiretap channel with an arbitrary number of wiretappers under one-shot setting. In this regard, we first introduce the general quantum multiple access wiretap channel and the simplified proposed channel. Then, we calculate an achievable secrecy rate region for the main channel with two users. The encoding process uses the superposition and wiretap coding techniques, and the decoding technique is based on the simultaneous decoder. Also, Convex splitting is used to satisfy security requirements. At last, we extend the results to the l-user case.
In this paper, the problem of private communication of classical messages over a quantum multiple access channel under one-shot setting is studied. In this regard, we first introduce general quantum multiple access wiretap channel, and then we calculate an achievable secrecy rate region for the main channel. The encoding process follows the combination of the superposition and Wyner wiretap coding schemes, and the decoding technique is based on the simultaneous decoder and convex splitting. At last, we extend the results to the l-user case.
In this paper, we want to investigate classical-quantum multiple access wiretap channels (CQ-MA-WTC) under one-shot setting. In this regard, we analyze the CQ-MA-WTC using simultaneous position-based decoder for reliable decoding and using a newly introduced technique in order to decode securely. Also, for the sake of comparison, we analyze the CQ-MA-WTC using Sen's one-shot joint typicality lemma for reliable decoding. The simultaneous position-based decoder tends to a multiple hypothesis testing problem. Also, using convex splitting to analyze the privacy criteria in a simultaneous scenario becomes problematic. To overcome both problems, we first introduce a new channel that can be considered as a dual to the CQ-MA-WTC. This channel is called a point-to-point quantum wiretap channel with multiple messages (PP-QWTC). In the following, as a strategy to solve the problem, we also investigate and analyze quantum broadcast channels (QBCs) under the one-shot setting.
In this paper, new two-user multiple access wiretap channel models are studied. First, the multiple access wiretap channel II with a discrete memoryless main channel under different wiretapping scenarios is introduced. The wiretapper, as in the classical wiretap channel II model, chooses a fixed-size subset of the channel uses, in which it obtains noise-free observations of one of the codewords: a deterministic function, e.g., superposition, of the two codewords or each of the two codewords. A fourth wiretapping scenario is considered, in which the wiretapper, in each position it chooses, decides to observe either one of the codewords or both codewords, with an overall budget on the number of its noiselessly observed symbols. These, thus, extend the recently examined wiretap channel II with a noisy main channel to a multiple access setting with a variety of attack models for the wiretapper. Next, the proposed multiple access wiretap channel II models are further generalized to the case when the wiretapper observes the outputs of a discrete memoryless channel, instead of erasures, outside the subset of noiseless observations. Achievable strong secrecy rate regions for all the proposed models are derived. Achievability is established by solving dual multi-terminal secret key agreement problems in the source model and converting the solution to the original channel models using probability distribution approximation arguments. The derived achievable rate regions quantify the secrecy cost due to the additional capabilities of the wiretapper with respect to the previous multiple access wiretap models.
It is commonly known that physical layer security is achieved with a trade-off in terms of the achievable rate. Hence, security constraints generate rate losses in wiretap channels. To mitigate such rate losses in multi-user channels, we propose a coding/decoding scheme for multi-user multiple access wiretap channel (MAC-WT), where previously transmitted messages are used as a secret key to enhance the secrecy rates of the transmitting users, until the usual Shannon capacity region of a multiple access channel (MAC) is achieved without the secrecy constraint. With this coding scheme, all messages transmitted in the recent past are secure with respect to all the information of the eavesdropper till now. To achieve this goal, we introduce secret key buffers at both the users and the legitimate receiver. Finally, we consider a fading MAC-WT and show that with this coding/decoding scheme, we can achieve the capacity region of a fading MAC channel (in the ergodic sense).