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We present a two-player communication task that can be solved by a protocol of polylogarithmic cost in the simultaneous message passing model with classical communication and shared entanglement, but requires exponentially more…

量子物理 · 物理学 2022-03-29 Dmytro Gavinsky

We give the first exponential separation between quantum and classical multi-party communication complexity in the (non-interactive) one-way and simultaneous message passing settings. For every k, we demonstrate a relational communication…

量子物理 · 物理学 2022-03-29 Dmytro Gavinsky , Pavel Pudlák

A relational bipartite communication problem is presented that has an efficient quantum simultaneous-messages protocol, but no efficient classical two-way protocol.

计算复杂性 · 计算机科学 2022-04-05 Dmytro Gavinsky

In this work we give an example of exponential separation between quantum and classical resources in the setting of XOR games assisted with communication. Specifically, we show an example of a XOR game for which $O(n)$ bits of two way…

量子物理 · 物理学 2020-03-24 Abderramán Amr , Ignacio Villanueva

We show two results about the relationship between quantum and classical messages. Our first contribution is to show how to replace a quantum message in a one-way communication protocol by a deterministic message, establishing that for all…

量子物理 · 物理学 2014-04-17 Hartmut Klauck , Supartha Podder

In this letter we show that communication when restricted to a single information carrier (i.e. single particle) and finite speed of propagation is fundamentally limited for classical systems. On the other hand, quantum systems can surpass…

量子物理 · 物理学 2018-02-22 Flavio Del Santo , Borivoje Dakić

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…

量子物理 · 物理学 2020-01-01 Hartmut Klauck , Debbie Lim

We consider several models of 1-round classical and quantum communication, some of these models have not been defined before. We "almost separate" the models of simultaneous quantum message passing with shared entanglement and the model of…

量子物理 · 物理学 2022-03-29 Dmytro Gavinsky

Quantum mechanics allows operations to be in indefinite causal order. Recently there have been active discussions on enhanced communication strategies through exotic causal structures. In light of this, through the process matrix formalism,…

量子物理 · 物理学 2021-04-21 Kaumudibikash Goswami , Fabio Costa

We study a new type of separation between quantum and classical communication complexity which is obtained using quantum protocols where all parties are efficient, in the sense that they can be implemented by small quantum circuits with…

量子物理 · 物理学 2019-11-07 Uma Girish , Ran Raz , Avishay Tal

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…

量子物理 · 物理学 2014-01-07 Alberto Montina

A unitary interaction coupling two parties enables quantum communication in both the forward and backward directions. Each communication capacity can be thought of as a tradeoff between the achievable rates of specific types of forward and…

量子物理 · 物理学 2007-05-23 Aram W. Harrow , Debbie W. Leung

We study the simultaneous message passing (SMP) model of communication complexity, for the case where one party is quantum and the other is classical. We show that in an SMP protocol that computes some function with the first party sending…

量子物理 · 物理学 2008-12-28 Dmitry Gavinsky , Oded Regev , Ronald de Wolf

We show that any classical two-way communication protocol with shared randomness that can approximately simulate the result of applying an arbitrary measurement (held by one party) to a quantum state of $n$ qubits (held by another), up to…

量子物理 · 物理学 2019-07-03 Ashley Montanaro

Quantum versus classical separation plays a central role in understanding the advantages of quantum computation. In this paper, we present the first exponential separation between quantum and bounded-error randomized communication…

量子物理 · 物理学 2025-06-23 Guangxu Yang , Jiapeng Zhang

Quantum entanglement, perhaps the most non-classical manifestation of quantum information theory, cannot be used to transmit information between remote parties. Yet, it can be used to reduce the amount of communication required to process a…

量子物理 · 物理学 2015-06-29 Gilles Brassard , Anne Broadbent , Alain Tapp

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…

量子物理 · 物理学 2008-05-05 Yong-gang Tan , Qing-yu Cai

This work addresses two problems in the context of two-party communication complexity of functions. First, it concludes the line of research, which can be viewed as demonstrating qualitative advantage of quantum communication in the three…

计算复杂性 · 计算机科学 2022-04-05 Dmytro Gavinsky

Suppose that $m$ senders want to transmit classical information to $n$ receivers with zero probability of error using a noisy multipartite communication channel. The senders are allowed to exchange classical, but not quantum, messages among…

量子物理 · 物理学 2009-06-25 Runyao Duan , Yaoyun Shi

Given one or more uses of a classical channel, only a certain number of messages can be transmitted with zero probability of error. The study of this number and its asymptotic behaviour constitutes the field of classical zero-error…

量子物理 · 物理学 2010-11-01 Toby S. Cubitt , Debbie Leung , William Matthews , Andreas Winter
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