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We describe new lower bounds for randomized communication complexity and query complexity which we call the partition bounds. They are expressed as the optimum value of linear programs. For communication complexity we show that the…

Computational Complexity · Computer Science 2009-11-19 Rahul Jain , Hartmut Klauck

The most trivial way to simulate classically the communication of a quantum state is to transmit the classical description of the quantum state itself. However, this requires an infinite amount of classical communication if the simulation…

Quantum Physics · Physics 2014-01-07 Alberto Montina

Attempts to separate the power of classical and quantum models of computation have a long history. The ultimate goal is to find exponential separations for computational problems. However, such separations do not come a dime a dozen: while…

Quantum Physics · Physics 2013-12-05 Martin Roetteler

We characterize the communication complexity of the following distributed estimation problem. Alice and Bob observe infinitely many iid copies of $\rho$-correlated unit-variance (Gaussian or $\pm1$ binary) random variables, with unknown…

Information Theory · Computer Science 2019-04-19 Uri Hadar , Jingbo Liu , Yury Polyanskiy , Ofer Shayevitz

We obtain a general connection between a quantum advantage in communication complexity and non-locality. We show that given any protocol offering a (sufficiently large) quantum advantage in communication complexity, there exists a way of…

We consider the problem of trying to send a single classical bit through a noisy quantum channel when two transmissions through the channel are available as a resource. Classically, two transmissions add nothing to the receiver's capability…

Quantum Physics · Physics 2007-05-23 Charles H. Bennett , Christopher A. Fuchs , John A. Smolin

Arbitrarily varying channels offer a powerful framework for analyzing the robustness of quantum communication systems, especially for classical-quantum models, where the analysis displays strengths or weaknesses of specific signal…

Quantum Physics · Physics 2025-07-25 Janis Nötzel , Florian Seitz

We answer an open question about Quantum Key Recycling (QKR): Is it possible to put the message entirely in the qubits without increasing the number of qubits? We show that this is indeed possible. We introduce a prepare-and-measure QKR…

Quantum Physics · Physics 2020-03-27 Daan Leermakers , Boris Skoric

Classical communications are used in the post-processing procedure of quantum key distribution. Since the security of quantum key distribution is based on the principles of quantum mechanics, intuitively the secret key can only be derived…

Quantum Physics · Physics 2008-05-05 Yong-gang Tan , Qing-yu Cai

Distributed computing, involving multiple servers collaborating on designated computations, faces a critical challenge in optimizing inter-server communication -- an issue central to the study of communication complexity. Quantum resources…

This paper presents a simple, but efficient class of non-interactive protocols for quantum authentication of $m$-length clas sical messages. The message is encoded using a classical linear algebraic code $C[n,m,t]$. We assume that Alice and…

Quantum Physics · Physics 2007-05-23 Rex A. C. Medeiros , Francisco M. de Assis , Bernardo L. Júior , Aércio F. Lima

We show how to efficiently simulate the sending of a message M to a receiver who has partial information about the message, so that the expected number of bits communicated in the simulation is close to the amount of additional information…

Information Theory · Computer Science 2011-06-21 Mark Braverman , Anup Rao

We propose a protocol for Alice to implement a multiqubit quantum operation from the restricted sets on distant qubits possessed by Bob, and then we investigate the communication complexity of the task in different communication scenarios.…

Quantum Physics · Physics 2012-10-11 Haozhen Situ , Daowen Qiu

We present a simple communication complexity problem where three parties benefit from sharing bound entanglement. This demonstrates that entanglement distillability of the shared state is not necessary in order to surpass classical…

Quantum Physics · Physics 2013-03-08 Michael Epping , Caslav Brukner

We consider a variation of the well-studied quantum state redistribution task, in which the starting state is known only to the receiver Bob and not to the sender Alice. We refer to this as quantum state redistribution with a one-sided…

Quantum Physics · Physics 2021-05-26 Anurag Anshu , Min-Hsiu Hsieh , Rahul Jain

We consider the problem of communication over a channel with a causal jamming adversary subject to quadratic constraints. A sender Alice wishes to communicate a message to a receiver Bob by transmitting a real-valued length-$n$ codeword…

Information Theory · Computer Science 2018-05-10 Tongxin Li , Bikash Kumar Dey , Sidharth Jaggi , Michael Langberg , Anand D. Sarwate

We consider an unknown quantum state shared between two parties, Alice and Bob, and ask how much quantum communication is needed to transfer the full state to Bob. This problem is known as state merging and was introduced in [Horodecki et…

Quantum Physics · Physics 2009-12-23 Mario Berta

We investigates a model of hybrid classical-quantum communication complexity, in which two parties first exchange classical messages and subsequently communicate using quantum messages. We study the trade-off between the classical and…

Computational Complexity · Computer Science 2026-04-23 Xudong Wu , Guangxu Yang , Penghui Yao

We study nondeterministic multiparty quantum communication with a quantum generalization of broadcasts. We show that, with number-in-hand classical inputs, the communication complexity of a Boolean function in this communication model…

Quantum Physics · Physics 2018-02-13 Harry Buhrman , Matthias Christandl , Jeroen Zuiddam

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