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This paper considers a problem of quantum communication between parties that are connected through a network of quantum channels. The model in this paper assumes that there is no prior entanglement shared among any of the parties, but that…

Quantum Physics · Physics 2016-05-30 Hirotada Kobayashi , Francois Le Gall , Harumichi Nishimura , Martin Roetteler

In quantum information, nonlocal games are particularly useful for differentiating classical, quantum, and non-signalling correlations. An example of differentiation is given by the principle of no-collapse of communication complexity,…

Quantum Physics · Physics 2024-06-26 Pierre Botteron , Moritz Weber

We construct a theory for long-distance quantum communication based on sharing entanglement through a linear chain of $N$ elementary swapping segments of length~$L=Nl$ where $l$ is the length of each elementary swap setup. Entanglement…

Quantum Physics · Physics 2014-02-12 Aeysha Khalique , Wolfgang Tittel , Barry C. Sanders

Quantum communication is developed owing to the theoretically proven security of quantum mechanics, which may become the main technique in future information security. However, most studies and implementations are limited to two or several…

Quantum Physics · Physics 2020-11-24 Xu Liu , Rong Xue , Heqing Wang , Hao Li , Xue Feng , Fang Liu , Kaiyu Cui , Zhen Wang , Lixing You , Yidong Huang , Wei Zhang

We study nondeterministic quantum algorithms for Boolean functions f. Such algorithms have positive acceptance probability on input x iff f(x)=1. In the setting of query complexity, we show that the nondeterministic quantum complexity of a…

Computational Complexity · Computer Science 2007-05-23 Ronald de Wolf

We develop a novel connection between discrepancy minimization and (quantum) communication complexity. As an application, we resolve a substantial special case of the Matrix Spencer conjecture. In particular, we show that for every…

Data Structures and Algorithms · Computer Science 2021-10-22 Samuel B. Hopkins , Prasad Raghavendra , Abhishek Shetty

Present-day quantum communication predominantly depends on trusted relays (e.g., quantum repeaters, low-Earth-orbit satellite) connected by optical fiber cables to transmit information. However, recent evidence supports a decades-old…

Emerging Technologies · Computer Science 2022-02-03 Wesley Joon-Wie Tann

Communication complexity is a fundamental aspect of information science, concerned with the amount of communication required to solve a problem distributed among multiple parties. The standard quantification of one-way communication…

Quantum Physics · Physics 2024-12-25 Satyaki Manna , Anubhav Chaturvedi , Debashis Saha

We present a new scheme for the compression of one-way quantum messages, in the setting of coherent entanglement assisted quantum communication. For this, we present a new technical tool that we call the convex split lemma, which is…

Quantum Physics · Physics 2017-09-27 Anurag Anshu , Vamsi Krishna Devabathini , Rahul Jain

Quantum metrology and quantum communications are typically considered as distinct applications in the broader portfolio of quantum technologies. However, there are cases where we might want to combine the two and recent proposals have shown…

Quantum Physics · Physics 2023-02-08 Sean William Moore , Jacob Andrew Dunningham

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 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

Although quantum algorithms realizing an exponential time speed-up over the best known classical algorithms exist, no quantum algorithm is known performing computation using less space resources than classical algorithms. In this paper, we…

Quantum Physics · Physics 2009-06-18 Francois Le Gall

Quantum entanglement cannot be unlimitedly shared among arbitrary number of qubits. Larger the number of entangled pairs in an N-qubit system, smaller the degree of bi-partite entanglement is. We analyze a system of N qubits in which an…

Quantum Physics · Physics 2009-11-06 Masato Koashi , Vladimir Buzek , Nobuyuki Imoto

A key goal of quantum communication is to determine the maximum number of bits shared between two quantum systems. An important example of this is in entanglement based quantum key distribution (QKD) schemes. A realistic treatment of this…

Quantum Physics · Physics 2015-06-04 Thomas Brougham , Stephen M. Barnett

Deviations from classical physics when distant quantum systems become correlated are interesting both fundamentally and operationally. There exist situations where the correlations enable collaborative tasks that are impossible within the…

Quantum Physics · Physics 2019-05-08 Farid Shahandeh , Austin P. Lund , Timothy C. Ralph

In this paper we study a quantum version of the multiparty simultaneous message-passing (SMP) model, and we show that in some cases, quantum communication can replace public randomness, even with no entanglement between the parties. This…

Quantum Physics · Physics 2024-12-12 François Le Gall , Oran Nadler , Harumichi Nishimura , Rotem Oshman

We study the weakest model of quantum nondeterminism in which a classical proof has to be checked with probability one by a quantum protocol. We show the first separation between classical nondeterministic communication complexity and this…

Quantum Physics · Physics 2021-10-05 Francois Le Gall

In quantum communication via noisy channels, the error probability scales exponentially with the length of the channel. We present a scheme of a quantum repeater that overcomes this limitation. The central idea is to connect a string of…

Quantum Physics · Physics 2007-05-23 H. -J. Briegel , W. Dür , J. I. Cirac , P. Zoller

We investigate the randomized and quantum communication complexity of the Hamming Distance problem, which is to determine if the Hamming distance between two n-bit strings is no less than a threshold d. We prove a quantum lower bound of…

Quantum Physics · Physics 2011-11-04 Wei Huang , Yaoyun Shi , Shengyu Zhang , Yufan Zhu
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