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International ISC Conference on Information Security and Cryptology (ISCISC)

Classical-Quantum Multiple Access Wiretap Channel

Hadi Aghaee, Bahareh Akhbari

Published Aug 1, 2019• 16 citations
Publisher

Abstract

In this paper, the quantum wiretap channel (QWTC) and quantum multiple access channel (QMAC) are used so as to introduce the classical-quantum multiple access wiretap channel (C-QMA-WTC). In this regard, the classical concepts about the multiple access wiretap channel (MA-WTC) are defined. Moreover, the multiple access wiretap channel with classical inputs and quantum output is considered. An achievable secrecy rate region of C-QMA-WTC is derived. After presenting the results of quantum wiretap channel, we illustrate how mutual information can be used instead of the Holevo information in the expression of the secrecy capacity region.

DOI
10.1109/iscisc48546.2019.8985142

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In this paper, the quantum wiretap channel (QWTC) and quantum multiple access channel (QMAC) are used so as to introduce the classical-quantum multiple access wiretap channel (C-QMA-WTC). In this regard, the classical concepts about the multiple access wiretap channel (MA-WTC) are defined. Moreover, the multiple access wiretap channel with classical inputs and quantum output is considered. An achievable secrecy rate region of C-QMA-WTC is derived. After presenting the results of quantum wiretap channel, we illustrate how mutual information can be used instead of the Holevo information in the expression of the secrecy capacity region.
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.
We investigate secure communication over a classical multiple-access wiretap channel (MAC-WTC), specifically exploring the benefit of shared entanglement between the transmitters. Under the strict semantic security criterion, we derive an achievable rate region and a regularized expression for the secrecy capacity. We further establish a single-letter upper bound on the secure capacity of the MAC-WTC with entangled transmitters. Our results demonstrate that entanglement strictly enlarges the secrecy capacity of MAC-WTC compared to sharing only classical correlated randomness, a finding we illustrate using a pseudo-telepathy game example. Finally, we establish new strong soft-covering lemmas for the output statistics of multipleaccess channels (MACs) with entangled transmitters. Our results generalize existing results for non-entangled systems.
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 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, a new wiretap channel (WTC) model with a discrete memoryless (DM) main channel and a wiretapper who noiselessly observes a fixed portion, of her choice, of the transmitted symbols, while observing the remaining transmitted symbols through another DM channel (DMC), is considered. The strong secrecy capacity of the model is identified. The achievability is established using the output statistics of random binning framework which exploits the duality between source and channel coding problems. The converse is derived by upper bounding the secrecy capacity of an equivalent model with the secrecy capacity of a DM-WTC. This result generalizes both the classical DM-WTC and the WTC-II with a DM main channel.
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.