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Protecting secure random key from eavesdropping in quantum key distribution protocols has been well developed. In this letter, we further study how to detect and eliminate eavesdropping on the random base string in such protocols. The…

Quantum Physics · Physics 2007-06-27 Kai Wen , Fu Guo Deng , Gui Lu Long

Alice and Bob share a correlated composite quantum system AB. If AB is used as the key for a one-time pad cryptographic system, we show that the maximum amount of information that Alice can send securely to Bob is the quantum mutual…

Quantum Physics · Physics 2009-11-13 Benjamin Schumacher , Michael D. Westmoreland

In the communication problem $\mathbf{UR}$ (universal relation) [KRW95], Alice and Bob respectively receive $x, y \in\{0,1\}^n$ with the promise that $x\neq y$. The last player to receive a message must output an index $i$ such that…

Computational Complexity · Computer Science 2017-04-04 Michael Kapralov , Jelani Nelson , Jakub Pachocki , Zhengyu Wang , David P. Woodruff , Mobin Yahyazadeh

In this paper, we investigate joint information theoretic secrecy and covert communication in a single-input multi-output (SIMO) system where a transmitter (Alice) is communicating with two legitimate users (Bob and Carol). We consider that…

Signal Processing · Electrical Eng. & Systems 2020-07-13 Moslem Forouzesh , Paeiz Azmi , Ali Kuhestani , Phee Lep Yeoh

The problem of secure multiterminal source coding with side information at the eavesdropper is investigated. This scenario consists of a main encoder (referred to as Alice) that wishes to compress a single source but simultaneously…

Information Theory · Computer Science 2013-11-11 Joffrey Villard , Pablo Piantanida

In this paper we generalize the notion of common information of two dependent variables introduced by G\'acs & K\"orner. They defined common information as the largest entropy rate of a common random variable two parties observing one of…

Information Theory · Computer Science 2016-11-17 Vinod M. Prabhakaran , Manoj M. Prabhakaran

In the multiterminal secret key agreement problem, a set of users want to discuss with each other until they share a common secret key independent of their discussion. We want to characterize the maximum secret key rate, called the secrecy…

Information Theory · Computer Science 2018-02-15 Chung Chan , Manuj Mukherjee , Navin Kashyap , Qiaoqiao Zhou

We derive a new upper bound for Eve's information in secret key generation from a common random number without communication. This bound improves on Bennett et al(1995)'s bound based on the R\'enyi entropy of order 2 because the bound…

Information Theory · Computer Science 2016-11-17 Masahito Hayashi

We study a distributed binary hypothesis testing (HT) problem with communication and security constraints, involving three parties: a remote sensor called Alice, a legitimate decision centre called Bob, and an eavesdropper called Eve, all…

Information Theory · Computer Science 2022-11-08 Sara Faour , Mustapha Hamad , Mireille Sarkiss , Michele Wigger

A private compression design problem is studied, where an encoder observes useful data $Y$, wishes to compress it using variable length code and communicates it through an unsecured channel. Since $Y$ is correlated with private attribute…

Information Theory · Computer Science 2024-03-27 Amirreza Zamani , Tobias J. Oechtering , Deniz Gündüz , Mikael Skoglund

Quantum physics allows for unconditionally secure communication through insecure communication channels. The achievable rates of quantum-secured communication are fundamentally limited by the laws of quantum physics and in particular by the…

Quantum Physics · Physics 2015-12-16 Cosmo Lupo , Seth Lloyd

We study the role of interaction in the Common Randomness Generation (CRG) and Secret Key Generation (SKG) problems. In the CRG problem, two players, Alice and Bob, respectively get samples $X_1,X_2,\dots$ and $Y_1,Y_2,\dots$ with the pairs…

Information Theory · Computer Science 2018-08-28 Mitali Bafna , Badih Ghazi , Noah Golowich , Madhu Sudan

By combining a bound on the absolute value of the difference of mutual information between two joint probablity distributions with a fixed variational distance, and a bound on the probability of a maximal deviation in variational distance…

Information Theory · Computer Science 2013-01-29 A. G. Stefani , J. B. Huber , C. Jardin , H. Sticht

We prove an optimal $\Omega(n)$ lower bound on the randomized communication complexity of the much-studied Gap-Hamming-Distance problem. As a consequence, we obtain essentially optimal multi-pass space lower bounds in the data stream model…

Computational Complexity · Computer Science 2012-07-02 Amit Chakrabarti , Oded Regev

In this paper a numerical method is presented, which finds a lower bound for the mutual information between a binary and an arbitrary finite random variable with joint distributions that have a variational distance not greater than a known…

Information Theory · Computer Science 2013-01-29 A. G. Stefani , J. B. Huber , C. Jardin , H. Sticht

This paper is concerned with the general multiple access wiretap channel and the existence of codes that accomplish reliability and strong secrecy. Information leakage to the eavesdropper is assessed by the variational distance metric,…

Information Theory · Computer Science 2020-03-10 Manos Athanasakos , Nicholas Kalouptsidis

In the last few years, there has been a great interest in extending the information-theoretic scenario for the non-asymptotic or one-shot case, i.e., where the channel is used only once. We provide the one-shot rate region for the…

Information Theory · Computer Science 2013-02-26 Naresh Sharma , Naqueeb Ahmad Warsi

A quantum key distribution network enables pairs of users to generate independent secret keys by leveraging the principles of quantum physics. For end-to-end secure communication, a user pair's secret key must remain secure against any…

Quantum Physics · Physics 2026-02-26 Yiming Bian , Yichen Zhang , Song Yu , Zhengyu Li , Hong Guo

This paper considers a key agreement problem in which two parties aim to agree on a key by exchanging messages in the presence of adversarial tampering. The aim of the adversary is to disrupt the key agreement process, but there are no…

Information Theory · Computer Science 2009-01-30 Terence Chan , Ning Cai , Alex Grant

We consider the extraction of shared secret key from correlations that are generated by either a classical or quantum source. In the classical setting, two honest parties (Alice and Bob) use public discussion and local randomness to distill…

Quantum Physics · Physics 2015-10-27 Eric Chitambar , Benjamin Fortescue , Min-Hsiu Hsieh
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