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Channel-reciprocity based key generation (CRKG) has gained significant importance as it has recently been proposed as a potential lightweight security solution for IoT devices. However, the impact of the attacker's position in close range…

Information Theory · Computer Science 2017-01-17 Christan Zenger , Hendrik Vogt , Jan Zimmer , Aydin Sezgin , Christof Paar

We study the generation of a secret key of maximum rate by a pair of terminals observing correlated sources and with the means to communicate over a noiseless public com- munication channel. Our main result establishes a structural…

Information Theory · Computer Science 2016-11-17 Himanshu Tyagi

Physical-layer based key generation schemes exploit the channel reciprocity for secret key extraction, which can achieve information-theoretic secrecy against eavesdroppers. Such methods, although practical, have been shown to be vulnerable…

Cryptography and Security · Computer Science 2021-06-14 Yanjun Pan , Ziqi Xu , Ming Li , Loukas Lazos

In time entanglement-based quantum key distribution (QKD), Alice and Bob extract the raw key bits from the (identical) arrival times of entangled photon pairs by time-binning. Each of them individually discretizes time into bins and groups…

Information Theory · Computer Science 2023-01-03 Joseph J. Boutros , Emina Soljanin

A natural operational paradigm for distributed quantum and classical information processing involves local operations coordinated by multiple rounds of public communication. In this paper we consider the minimum number of communication…

Quantum Physics · Physics 2018-02-07 Eric Chitambar , Min-Hsiu Hsieh

We fully determine the communication complexity of approximating matrix rank, over any finite field $\mathbb{F}$. We study the most general version of this problem, where $0\leq r<R\leq n$ are given integers, Alice and Bob's inputs are…

Computational Complexity · Computer Science 2024-10-29 Alexander A. Sherstov , Andrey A. Storozhenko

Despite the apparent similarity between shared randomness and shared entanglement in the context of Communication Complexity, our understanding of the latter is not as good as of the former. In particular, there is no known "entanglement…

Quantum Physics · Physics 2022-03-29 Dmytro Gavinsky

In this paper we consider the following question: how many bits of classical communication and shared random bits are necessary to simulate a quantum protocol involving Alice and Bob where they share k entangled quantum bits and do not…

Quantum Physics · Physics 2007-05-23 Allison Coates

The problem of simultaneously generating a secret key (SK) and private key (PK) pair among three terminals via public discussion is investigated, in which each terminal observes a component of correlated sources. All three terminals are…

Information Theory · Computer Science 2014-04-28 Huishuai Zhang , Lifeng Lai , Yingbin Liang , Hua Wang

We consider the problem of finding a maximal independent set (MIS) in the shared blackboard communication model with vertex-partitioned inputs. There are $n$ players corresponding to vertices of an undirected graph, and each player sees the…

Data Structures and Algorithms · Computer Science 2022-09-20 Sepehr Assadi , Gillat Kol , Zhijun Zhang

Communication complexity refers to the minimum rate of public communication required for generating a maximal-rate secret key (SK) in the multiterminal source model of Csiszar and Narayan. Tyagi recently characterized this communication…

Information Theory · Computer Science 2014-01-14 Manuj Mukherjee , Navin Kashyap

Much scientific work has focused on the generation of random numbers as well as the distribution of said random numbers for use as a cryptographic key. However, emphasis is often placed on one of the two to the exclusion of the other, but…

Classical Physics · Physics 2020-08-14 Nicholas Bornman , Andrew Forbes , Achim Kempf

In this paper we consider the problem of generating arbitrary three-party correlations from a combination of public and secret correlations. Two parties -- called Alice and Bob -- share perfectly correlated bits that are secret from a…

Quantum Physics · Physics 2016-04-15 Eric Chitambar , Min-Hsiu Hsieh , Andreas Winter

Quantum key distribution (QKD) allows Alice and Bob to agree on a shared secret key, while communicating over a public (untrusted) quantum channel. Compared to classical key exchange, it has two main advantages: (i) The key is…

Quantum Physics · Physics 2024-01-03 Giulio Malavolta , Michael Walter

It is well known that physical-layer Group Secret-Key (GSK) generation techniques allow multiple nodes of a wireless network to synthesize a common secret-key, which can be subsequently used to keep their group messages confidential. As one…

Information Theory · Computer Science 2020-05-06 J. Harshan , Rohit Joshi , Manish Rao

In the communication problem $\mathbf{UR}$ (universal relation) [KRW95], Alice and Bob respectively receive $x$ and $y$ 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 2017-03-24 Jelani Nelson , Jakub Pachocki , Zhengyu Wang

The recent square root law (SRL) for covert communication demonstrates that Alice can reliably transmit $\mathcal{O}(\sqrt{n})$ bits to Bob in $n$ uses of an additive white Gaussian noise (AWGN) channel while keeping ineffective any…

Information Theory · Computer Science 2016-09-28 Boulat A. Bash , Dennis Goeckel , Don Towsley

We consider a scenario wherein two parties Alice and Bob are provided $X_{1}^{n}$ and $X_{2}^{n}$ -- samples that are IID from a PMF $P_{X_1 X_2}$. Alice and Bob can communicate to Charles over (noiseless) communication links of rate $R_1$…

Information Theory · Computer Science 2021-05-03 Touheed Anwar Atif , Arun Padakandla , S. Sandeep Pradhan

Random generation and confidential distribution of cryptographic keys are fundamental building blocks of secure communication. Using quantum states in which the transmitted quantum bit is entangled with a stationary memory quantum bit…

Quantum Physics · Physics 2021-11-30 Pascal Kobel , Ralf A. Berner , Michael Köhl

We investigate the problem of generating common randomness (CR) from finite compound sources aided by unidirectional communication over rate-limited perfect channels. The two communicating parties, often referred to as terminals, observe…

Information Theory · Computer Science 2024-01-26 Rami Ezzine , Moritz Wiese , Christian Deppe , Holger Boche