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We continue the study of the communication complexity of gap cycle counting problems. These problems have been introduced by Verbin and Yu [SODA 2011] and have found numerous applications in proving streaming lower bounds. In the noisy gap…

Data Structures and Algorithms · Computer Science 2023-05-19 Sepehr Assadi , Janani Sundaresan

Key-agreement protocols whose security is proven in the random oracle model are an important alternative to protocols based on public-key cryptography. In the random oracle model, the parties and the eavesdropper have access to a shared…

Cryptography and Security · Computer Science 2021-05-07 Iftach Haitner , Noam Mazor , Rotem Oshman , Omer Reingold , Amir Yehudayoff

This paper studies an information-theoretic one-shot variable-length secret key agreement problem with public discussion. Let $X$ and $Y$ be jointly distributed random variables, each taking values in some measurable space. Alice and Bob…

Information Theory · Computer Science 2021-09-21 Cheuk Ting Li , Venkat Anantharam

A new conceptual key generation scheme is presented by using intrinsic quantum correlations of single photons between Alice and Bob. The intrinsic bi-partite correlation functions allow key bit to be generated through high level…

Quantum Physics · Physics 2014-03-20 Kim Fook Lee , Yong Meng Sua

We study covert communication and covert secret key generation with positive rates over quantum state-dependent channels. Specifically, we consider fully quantum state-dependent channels when the transmitter shares an entangled state with…

Information Theory · Computer Science 2025-12-01 Hassan ZivariFard , Rémi A. Chou , Xiaodong Wang

We study two basic graph parameters, the chromatic number and the orthogonal rank, in the context of classical and quantum exact communication complexity. In particular, we consider two types of communication problems that we call promise…

Quantum Physics · Physics 2018-12-24 Jop Briët , Harry Buhrman , Debbie Leung , Teresa Piovesan , Florian Speelman

In this paper, the problem of secret key agreement in state-dependent multiple access channels with an eavesdropper is studied. For this model, the channel state information is non-causally available at the transmitters; furthermore, a…

Cryptography and Security · Computer Science 2013-01-23 Mohsen Bahrami , Ali Bereyhi , Mahtab Mirmohseni , Mohammad Reza Aref

Randomness plays a vital role in numerous applications, including simulation, cryptography, distributed systems, and gaming. Consequently, extensive research has been conducted to generate randomness. One such method is to design a…

Cryptography and Security · Computer Science 2025-05-13 Pham Nhat Minh , Khuong Nguyen-An

Suppose that a transmitter Alice potentially wishes to communicate with a receiver Bob over an adversarially jammed binary channel. An active adversary James eavesdrops on their communication over a binary symmetric channel (BSC(q)), and…

Information Theory · Computer Science 2021-06-25 Qiaosheng Zhang , Mayank Bakshi , Sidharth Jaggi

We consider the following communication task in the multi-party setting, which involves a joint random variable $XYZMN$ with the property that $M$ is independent of $YZN$ conditioned on $X$ and $N$ is independent of $XZM$ conditioned on…

Information Theory · Computer Science 2020-03-24 Anurag Anshu , Penghui Yao

This paper introduces and demonstrates four new statistical attacks against the Kirchhoff-Law-Johnson-Noise (KLJN) secure key exchange scheme. The attacks utilize compromised random number generators at Alice's/Bob's site(s). The case of…

Cryptography and Security · Computer Science 2021-10-08 Christiana Chamon , Shahriar Ferdous , Laszlo B. Kish

In this problem, Alice and Bob, are provided $X_{1}^{n}$ and $X_{2}^{n}$ that are IID $p_{X_1 X_2}$. Alice and Bob can communicate to Charles over (noiseless) links of rate $R_1$ and $R_2$, respectively. Their goal is to enable Charles…

Information Theory · Computer Science 2021-03-15 Touheed Anwar Atif , Arun Padakandla , S. Sandeep Pradhan

We consider the learning and communication complexity of subsequence containment. In the learning problem, we seek to learn a classifier that positively labels a binary string $x$ if it contains a fixed binary string $y$ as a subsequence.…

Discrete Mathematics · Computer Science 2023-01-23 Mason DiCicco , Daniel Reichman

Imagine that Alice and Bob, unable to communicate, are both given a 16-bit string such that the strings are either equal, or they differ in exactly 8 positions. Both parties are then supposed to output a 4-bit string in such a way that…

Quantum Physics · Physics 2007-05-23 Viktor Galliard , Stefan Wolf , Alain Tapp

Quantum Key Distribution is a quantum communication technique in which random numbers are encoded on quantum systems, usually photons, and sent from one party, Alice, to another, Bob. Using the data sent via the quantum signals,…

Quantum Physics · Physics 2014-09-09 T. C. Ralph , N. Walk

The Collision problem is to decide whether a given list of numbers $(x_1,\ldots,x_n)\in[n]^n$ is $1$-to-$1$ or $2$-to-$1$ when promised one of them is the case. We show an $n^{\Omega(1)}$ randomised communication lower bound for the natural…

Computational Complexity · Computer Science 2022-08-11 Mika Göös , Siddhartha Jain

It is well known that physical-layer key generation methods enable wireless devices to harvest symmetric keys by accessing the randomness offered by the wireless channels. Although two-user key generation is well understood, group…

Information Theory · Computer Science 2021-03-04 Rohit Joshi , J. Harshan

Secure transmission between two agents, Alice and Bob, over block fading channels can be achieved similarly to conventional hybrid automatic repeat request (HARQ) by letting Alice transmit multiple blocks, each containing an encoded version…

Cryptography and Security · Computer Science 2014-01-15 Stefano Tomasin , Nicola Laurenti

In this paper, we consider the problem of secret key generation with one-way communication through both a rate-limited public channel and a rate-limited secure channels where the public channel is from Alice to Bob and Eve and the secure…

Information Theory · Computer Science 2020-04-13 Yinfei Xu , Daming Cao

A collaborative distributed binary decision problem is considered. Two statisticians are required to declare the correct probability measure of two jointly distributed memoryless process, denoted by $X^n=(X_1,\dots,X_n)$ and…

Information Theory · Computer Science 2016-04-11 Gil Katz , Pablo Piantanida , Merouane Debbah