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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

We propose a class of quantum no-key protocols for private communication of classical message based on quantum computing of random Boolean permutations, and demonstrate that they are information-theoretic secure. These protocols are…

Quantum Physics · Physics 2013-06-17 Li Yang

In this paper, we reconsider the communication model used in the no-go theorems on the impossibility of quantum bit commitment and oblivious transfer. We state that a macroscopic classical channel may not be replaced with a quantum channel…

Quantum Physics · Physics 2007-05-23 Minh-Dung Dang

We define a new model of quantum learning that we call Predictive Quantum (PQ). This is a quantum analogue of PAC, where during the testing phase the student is only required to answer a polynomial number of testing queries. We demonstrate…

Quantum Physics · Physics 2022-03-29 Dmytro Gavinsky

In some scenarios there are ways of conveying information with many fewer, even exponentially fewer, qubits than possible classically. Moreover, some of these methods have a very simple structure--they involve only few message exchanges…

Quantum Physics · Physics 2018-03-22 Hartmut Klauck , Ashwin Nayak , Amnon Ta-Shma , David Zuckerman

We study the effects of quantum entanglement on the performance of two classical zero-error communication tasks among multiple parties. Both tasks are generalizations of the two-party zero-error channel-coding problem, where a sender and a…

Quantum Physics · Physics 2015-01-21 Teresa Piovesan , Giannicola Scarpa , Christian Schaffner

The scalability of quantum computing is constrained by the physical and architectural limitations of monolithic quantum processors. Modular multi-core quantum architectures, which interconnect multiple quantum cores (QCs) via classical and…

In STOC 1999, Raz presented a (partial) function for which there is a quantum protocol communicating only $O(\log n)$ qubits, but for which any classical (randomized, bounded-error) protocol requires $\poly(n)$ bits of communication. That…

Computational Complexity · Computer Science 2010-09-21 Bo'az Klartag , Oded Regev

Although a quantum state requires exponentially many classical bits to describe, the laws of quantum mechanics impose severe restrictions on how that state can be accessed. This paper shows in three settings that quantum messages have only…

Quantum Physics · Physics 2018-06-25 Scott Aaronson

We define a quantum model for multiparty communication complexity and prove a simulation theorem between the classical and quantum models. As a result of our simulation, we show that if the quantum k-party communication complexity of a…

Quantum Physics · Physics 2007-05-23 Iordanis Kerenidis

We consider a quantum and classical version multi-party function computation problem with $n$ players, where players $2, \dots, n$ need to communicate appropriate information to player 1, so that a "generalized" inner product function with…

Quantum Physics · Physics 2024-02-06 Ruoyu Meng , Aditya Ramamoorthy

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 study the problem of simulating protocols in a quantum communication setting over noisy channels. This problem falls at the intersection of quantum information theory and quantum communication complexity, and it will be of importance for…

Quantum Physics · Physics 2019-06-12 Gilles Brassard , Ashwin Nayak , Alain Tapp , Dave Touchette , Falk Unger

We analyze utility of communication channels in absence of any short of quantum or classical correlation shared between the sender and the receiver. To this aim, we propose a class of two-party communication games, and show that the games…

One of the most intriguing facts about communication using quantum states is that these states cannot be used to transmit more classical bits than the number of qubits used, yet there are ways of conveying information with exponentially…

Quantum Physics · Physics 2007-05-23 Ashwin Nayak , Amnon Ta-Shma , David Zuckerman

A fundamental limitation of quantum communication is that a single qubit can carry at most 1 bit of classical information. For an important class of quantum communication channels, known as entanglement-breaking, this limitation holds even…

Quantum Physics · Physics 2025-02-14 Giulio Chiribella , Saptarshi Roy , Tamal Guha , Sutapa Saha

In this paper we propose a new model for arbitrarily varying classical-quantum channels. In this model a jammer has side information. We consider two scenarios. In the first scenario the jammer knows the channel input, while in the second…

Information Theory · Computer Science 2018-02-01 Holger Boche , Minglai Cai , Ning Cai

Classical data can be copied and re-used for computation, with adverse consequences economically and in terms of data privacy. Motivated by this, we formulate problems in one-way communication complexity where Alice holds some data $x$ and…

Quantum Physics · Physics 2025-07-22 Dar Gilboa , Siddhartha Jain , Jarrod R. McClean

Since the seminal work of Paturi and Simon \cite[FOCS'84 & JCSS'86]{PS86}, the unbounded-error classical communication complexity of a Boolean function has been studied based on the arrangement of points and hyperplanes. Recently,…

Quantum Physics · Physics 2016-05-24 Kazuo Iwama , Harumichi Nishimura , Rudy Raymond , Shigeru Yamashita

Quantum secret-sharing and quantum error-correction schemes rely on multipartite decoding protocols, yet the non-local operations involved are challenging and sometimes infeasible. Here we construct a quantum secret-sharing protocol with a…

Quantum Physics · Physics 2013-09-02 Vlad Gheorghiu , Barry C. Sanders