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Oblivious transfer is a primitive of paramount importance in cryptography or, more precisely, two- and multi-party computation due to its universality. Unfortunately, oblivious transfer cannot be achieved in an unconditionally secure way…

Cryptography and Security · Computer Science 2007-05-23 Jürg Wullschleger

We study quantum communication protocols, in which the players' storage starts out in a state where one qubit is in a pure state, and all other qubits are totally mixed (i.e. in a random state), and no other storage is available (for…

Quantum Physics · Physics 2020-01-01 Hartmut Klauck , Debbie Lim

I present a simple two-party quantum communication complexity protocol with higher success rate than the best possible classical protocol for the same task. The quantum protocol is shown to be equivalent to a quantum non-locality test,…

Quantum Physics · Physics 2007-05-23 Ernesto F. Galvao

Entanglement-assisted classical communication and transmission of a quantum system are the two quantum resources for information processing. Many information tasks can be performed using either quantum resource. However, this equivalence is…

Quantum Physics · Physics 2017-08-29 Armin Tavakoli , Marcin Pawlowski , Marek Zukowski , Mohamed Bourennane

The performance gain by allowing half-duplex source cooperation is studied for Gaussian interference channels. The source cooperation is {\em in-band}, meaning that each source can listen to the other source's transmission, but there is no…

Information Theory · Computer Science 2014-02-06 Rui Wu , Vinod Prabhakaran , Pramod Viswanath , Yi Wang

Efficient distributed computing offers a scalable strategy for solving resource-demanding tasks such as parallel computation and circuit optimisation. Crucially, the communication overhead introduced by the allotment process should be…

Equality and disjointness are two of the most studied problems in communication complexity. They have been studied for both classical and also quantum communication and for various models and modes of communication. Buhrman et al. [Buh98]…

Computational Complexity · Computer Science 2013-10-01 Jozef Gruska , Daowen Qiu , Shenggen Zheng

In a multiparty message-passing model of communication, there are $k$ players. Each player has a private input, and they communicate by sending messages to one another over private channels. While this model has been used extensively in…

Data Structures and Algorithms · Computer Science 2013-05-22 Mark Braverman , Faith Ellen , Rotem Oshman , Toniann Pitassi , Vinod Vaikuntanathan

We prove that the fidelity of two exemplary communication complexity protocols, allowing for an N-1 bit communication, can be exponentially improved by N-1 (unentangled) qubit communication. Taking into account, for a fair comparison, all…

We study the amount of classical communication needed for distributed quantum information processing. In particular, we introduce the concept of "remote preparation" of a quantum state. Given an ensemble of states, Alice's task is to help…

Quantum Physics · Physics 2009-10-31 Hoi-Kwong Lo

We study the one-way two-party communication complexity of Maximum Matching in the semi-robust setting where the edges of a maximum matching are randomly partitioned between Alice and Bob, but all remaining edges of the input graph are…

Data Structures and Algorithms · Computer Science 2025-12-12 Gabriel Cipriani Huete , Adithya Diddapur , Pavel Dvořák , Christian Konrad

We introduce new models and new information theoretic measures for the study of communication complexity in the natural peer-to-peer, multi-party, number-in-hand setting. We prove a number of properties of our new models and measures, and…

Computational Complexity · Computer Science 2020-10-01 Adi Rosén , Florent Urrutia

We show that almost all known lower bound methods for communication complexity are also lower bounds for the information complexity. In particular, we define a relaxed version of the partition bound of Jain and Klauck and prove that it…

Computational Complexity · Computer Science 2013-01-21 Iordanis Kerenidis , Sophie Laplante , Virginie Lerays , Jérémie Roland , David Xiao

The concepts of quantum correlation complexity and quantum communication complexity were recently proposed to quantify the minimum amount of resources needed in generating bipartite classical or quantum states in the single-shot setting.…

Quantum Physics · Physics 2014-07-21 Rahul Jain , Zhaohui Wei , Penghui Yao , Shengyu Zhang

Deterministic and probabilistic communication protocols are introduced in which parties can exchange the values of polynomials (rather than bits in the usual setting). It is established a sharp lower bound $2n$ on the communication…

Computational Complexity · Computer Science 2007-10-16 Dima Grigoriev

In standard number-in-hand multi-party communication complexity, performance is measured as the total number of bits transmitted globally in the network. In this paper, we study a variation called local communication complexity in which…

Data Structures and Algorithms · Computer Science 2021-11-24 Bala Kalyanasundaram , Calvin Newport

This paper surveys the field of quantum communication complexity. Some interesting recent results are collected concerning relations to classical communication, lower bound methods, one-way communication, and applications of quantum…

Quantum Physics · Physics 2007-05-23 Hartmut Klauck

In this paper we present several strategies for multiple relay networks which are constrained by a half-duplex operation, i. e., each node either transmits or receives on a particular resource. Using the discrete memoryless multiple relay…

Information Theory · Computer Science 2007-12-24 P. Rost , G. Fettweis

In communication complexity the input of a function $f:X\times Y\rightarrow Z$ is distributed between two players Alice and Bob. If Alice knows only $x\in X$ and Bob only $y\in Y$, how much information must Alice and Bob share to be able to…

Computational Complexity · Computer Science 2026-04-15 Simon Mackenzie , Abdallah Saffidine

Two parties observing correlated random variables seek to run an interactive communication protocol. How many bits must they exchange to simulate the protocol, namely to produce a view with a joint distribution within a fixed statistical…

Information Theory · Computer Science 2016-02-01 Himanshu Tyagi , Shaileshh Venkatakrishnan , Pramod Viswanath , Shun Watanabe