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In quantum Shannon theory, transmission of information is enhanced by quantum features. Up to very recently, the trajectories of transmission remained fully classical. Recently, a new paradigm was proposed by playing quantum tricks on two…

Covert communication offers a method to transmit messages in such a way that it is not possible to detect that the communication is happening at all. In this work, we report an experimental demonstration of covert communication that is…

We establish a universal complementarity relation between the capacity of classical information transmission by employing a multiparty quantum state as a multiport quantum channel, and the genuine multipartite entanglement of the quantum…

Quantum Physics · Physics 2013-10-30 R. Prabhu , Aditi Sen De , Ujjwal Sen

Communication complexity, which quantifies the minimum communication required for distributed computation, offers a natural setting for investigating the capabilities and limitations of quantum mechanics in information processing. We…

Quantum Physics · Physics 2026-02-12 Nikolai Miklin , Prabhav Jain , Mariami Gachechiladze

We consider the problem of bounded-error quantum state identification: given either state \alpha_0 or state \alpha_1, we are required to output `0', `1' or `?' ("don't know"), such that conditioned on outputting `0' or `1', our guess is…

Quantum Physics · Physics 2022-03-29 Dmytro Gavinsky , Julia Kempe , Oded Regev , Ronald de Wolf

We introduce a class of communication tests where the task is to communicate partial ignorance by means of a physical system. We present a full characterization of the implementations of these tests in the qubit case and partial results for…

Quantum Physics · Physics 2019-10-04 Teiko Heinosaari , Oskari Kerppo

We prove that NP differs from coNP and coNP is not a subset of MA in the number-on-forehead model of multiparty communication complexity for up to k = (1-\epsilon)log(n) players, where \epsilon>0 is any constant. Specifically, we construct…

Computational Complexity · Computer Science 2022-03-29 Dmytro Gavinsky , Alexander A. Sherstov

This paper addresses the problem of generating a common random string with min-entropy k using an unlimited supply of noisy EPR pairs or quantum isotropic states, with minimal communication between Alice and Bob. The paper considers two…

Quantum Physics · Physics 2023-11-27 Yangjing Dong , Penghui Yao

We present a simple and general simulation technique that transforms any black-box quantum algorithm (a la Grover's database search algorithm) to a quantum communication protocol for a related problem, in a way that fully exploits the…

Quantum Physics · Physics 2007-05-23 Harry Buhrman , Richard Cleve , Avi Wigderson

We present truly ultimate limits on covert quantum communication by exploiting quantum-mechanical properties of the Minkowski vacuum in the quantum field theory framework. Our main results are the following: We show how two parties equipped…

Quantum Physics · Physics 2016-08-24 Kamil Bradler , Timjan Kalajdzievski , George Siopsis , Christian Weedbrook

It is shown that with the use of entanglement a specific two party communication task can be done with a systematically smaller expected error than any possible classical protocol could do. The example utilises the very tight correlation…

Quantum Physics · Physics 2007-05-23 Lucien Hardy , Wim van Dam

We define "coherent communication" in terms of a simple primitive, show it is equivalent to the ability to send a classical message with a unitary or isometric operation, and use it to relate other resources in quantum information theory.…

Quantum Physics · Physics 2009-11-10 Aram W. Harrow

An extended formulation of a polytope P is a polytope Q which can be projected onto P. Extended formulations of small size (i.e., number of facets) are of interest, as they allow to model corresponding optimization problems as linear…

Combinatorics · Mathematics 2012-07-10 Samuel Fiorini , Volker Kaibel , Kanstantsin Pashkovich , Dirk Oliver Theis

Multi Prover Interactive Proof systems (MIPs)were first presented in a cryptographic context, but ever since they were used in various fields. Understanding the power of MIPs in the quantum context raises many open problems, as there are…

Quantum Physics · Physics 2008-06-26 Michael Ben-Or , Avinatan Hassidim , Haran Pilpel

The capability of a given channel to communicate information is, a priori, distinct from its capability to distribute shared randomness. In this article we define randomness distribution capacities of quantum channels assisted by forward,…

Quantum Physics · Physics 2018-05-22 Raul Garcia-Patron , William Matthews , Andreas Winter

The causal structure of a stochastic process can be more efficiently transmitted via a quantum channel than a classical one, an advantage that increases with codeword length. While previously difficult to compute, we express the quantum…

Quantum Physics · Physics 2016-05-25 Paul M. Riechers , John R. Mahoney , Cina Aghamohammadi , James P. Crutchfield

We show a nearly quadratic separation between deterministic communication complexity and the logarithm of the partition number, which is essentially optimal. This improves upon a recent power 1.5 separation of G\"o\"os, Pitassi, and Watson…

Computational Complexity · Computer Science 2016-05-24 Robin Kothari

A prepare-and-measure scenario is naturally described by a communication matrix that collects all conditional outcome probabilities of the scenario into a row-stochastic matrix. The set of all possible communication matrices is partially…

Quantum Physics · Physics 2024-11-13 Teiko Heinosaari , Oskari Kerppo

The nonadditivity of channel capacity is a defining feature that distinguishes quantum communication from classical communication. In the quantum realm, the channel capacity is determined by coherent information, which is defined through…

Quantum Physics · Physics 2026-05-19 Yu Guo , Bo-Xuan Wang , Xiao-Min Hu , Yun-Feng Huang , Chuan-Feng Li , Guang-Can Guo , Bi-Heng Liu

In a recent breakthrough result, Chattopadhyay, Mande and Sherif [ECCC TR18-17] showed an exponential separation between the log approximate rank and randomized communication complexity of a total function $f$, hence refuting the log…

Quantum Physics · Physics 2020-01-28 Anurag Anshu , Naresh Goud Boddu , Dave Touchette