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As users migrate information to cloud storage, many distributed cloud-based services use multiple loosely consistent replicas of user information to avoid the high overhead of more tightly coupled synchronization. Periodically, the…

Data Structures and Algorithms · Computer Science 2015-04-23 Michael Mitzenmacher , Rasmus Pagh

This paper focuses on bounding the total communication complexity of collapsing protocols for multiparty pointer jumping problem ($MPJ_k^n$). Brody and Chakrabati in \cite{bc08} proved that in such setting one of the players must…

Computational Complexity · Computer Science 2014-05-30 Michał Jastrzębski

We prove that there is a trade-off relation between the entanglement cost and the number of rounds of communication, for two distant parties to accomplish a bidirectional quantum information task by local operations and classical…

Quantum Physics · Physics 2018-10-30 Eyuri Wakakuwa , Akihito Soeda , Mio Murao

Multimodal LLMs can accurately perceive numerical content across modalities yet fail to perform exact multi-digit multiplication when the identical underlying arithmetic problem is presented as numerals, number words, images, or in audio…

Computation and Language · Computer Science 2026-04-21 Samuel G. Balter , Ethan Jerzak , Connor T. Jerzak

One matrix structure in the area of monotone Boolean functions is defined here. Some of its combinatorial, algebraic and algorithmic properties are derived. On the base of these properties, three algorithms are built. First of them…

Discrete Mathematics · Computer Science 2019-02-19 Valentin Bakoev

Communication complexity problems (CCPs) are tasks in which separated parties attempt to compute a function whose inputs are distributed among the parties. Their communication is limited so that not all inputs can be sent. We show that…

Quantum Physics · Physics 2017-04-12 Armin Tavakoli , Marek Zukowski

We introduce a restriction of the classical 2-party deterministic communication protocol where Alice and Bob are restricted to using only comparison functions. We show that the complexity of a function in the model is, up to a constant…

Computational Complexity · Computer Science 2022-04-19 Michael R. Klug

We consider a broadcast communication system over parallel sub-channels where the transmitter sends three messages: a common message to two users, and two confidential messages to each user which need to be kept secret from the other user.…

Information Theory · Computer Science 2016-11-15 Ahmed Benfarah , Stefano Tomasin , Nicola Laurenti

We present protocols for multiparty data hiding of quantum information that implement all possible threshold access structures. Closely related to secret sharing, data hiding has a more demanding security requirement: that the data remain…

Quantum Physics · Physics 2007-05-23 Patrick Hayden , Debbie Leung , Graeme Smith

A monotone Boolean circuit is composed of OR gates, AND gates and input gates corresponding to the input variables and the Boolean constants. It is $q$-multilinear if for each its output gate $o$ and for each prime implicant $s$ of the…

Computational Complexity · Computer Science 2023-05-15 Andrzej Lingas , Mia Persson

For a multipartite system, we sort out all possible entanglements, each of which is among a set of subsystems. Each entanglement can be measured by a generalized relative entropy of entanglement, which is conserved on average under…

Quantum Physics · Physics 2007-05-23 Yu Shi

We study how delegating pricing to large language models (LLMs) can facilitate collusion in a duopoly when both sellers rely on the same pre-trained model. The LLM is characterized by (i) a propensity parameter capturing its internal bias…

Theoretical Economics · Economics 2026-03-24 Shengyu Cao , Ming Hu

This paper proposes and evaluates a new performance estimation method that leverages continual learning (CL) algorithms to carry out sequential simulation experiments for a feedback-based molecular communication protocol. As the protocol is…

Machine Learning · Computer Science 2026-05-05 Siddhant Setia , Junichi Suzuki , Tadashi Nakano

Common Business Oriented Language (COBOL) is a programming language used to develop business applications that are widely adopted by financial, business, and government agencies. Due to its age, complexity, and declining number of COBOL…

Software Engineering · Computer Science 2025-07-04 Fangjian Lei , Jiawen Liu , Shayan Noei , Ying Zou , Derek Truong , William Alexander

In this paper we consider the possible correlations between two parties using local machines and shared randomness with an additional amount of classical communication. This is a continuation of the work initiated by Bacon and Toner in Ref.…

Quantum Physics · Physics 2014-05-14 Katherine Maxwell , Eric Chitambar

Nielsen characterized in full those 2-party quantum protocols of local operations and classical communication that transform, with probability one, a pure global initial state into a pure global final state. The present work considers the…

Quantum Physics · Physics 2012-02-16 Daniel Lehmann

As a consequence of Bell's theorem, the statistics of measurements on some entangled states cannot be simulated with local hidden variables alone. The amount of communication that must be supplied is an intuitive quantifier of…

Quantum Physics · Physics 2024-06-17 Peter Sidajaya , Valerio Scarani

We present here a generalization of the work done by Rabin and Ben-Or. We give a protocol for multiparty computation which tolerates any Q^2 active adversary structure based on the existence of a broadcast channel, secure communication…

Cryptography and Security · Computer Science 2007-05-23 Adam Smith , Anton Stiglic

We study the direct-sum problem for $k$-party ``Number On the Forehead'' (NOF) deterministic communication complexity. We prove several positive results, showing that the complexity of computing a function $f$ in this model, on $\ell$…

Computational Complexity · Computer Science 2014-02-24 Eldar Aharoni , Eyal Kushilevitz

In this work, we learn a shared encoding representation for a multi-task neural network model optimized with connectionist temporal classification (CTC) and conventional framewise cross-entropy training criteria. Our experiments show that…

Audio and Speech Processing · Electrical Eng. & Systems 2019-04-04 Thai-Son Nguyen , Sebastian Stueker , Alex Waibel