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This report surveys quantum error-correcting codes. As Preskill claimed, 21st century would be the golden age of quantum error correction. Quantum channels behave differently from classical channels, so researchers face difficulties in…

Quantum Physics · Physics 2007-05-23 Hsun-Hsien Chang

Until quantum repeaters become mature, quantum networks remain restricted either to limited areas of directly connected nodes or to nodes connected to a common node. We circumvent this limitation by conceiving quantum networks using secure…

Quantum Physics · Physics 2022-07-21 Gui-Lu Long , Dong Pan , Yu-Bo Sheng , Qikun Xue , Jianhua Lu , Lajos Hanzo

Problems related to network coding for acyclic, instantaneous networks (where the edges of the acyclic graph representing the network are assumed to have zero-delay) have been extensively dealt with in the recent past. The most prominent of…

Information Theory · Computer Science 2013-07-09 K. Prasad , B. Sundar Rajan

In this paper, a quantum version of classical alternating bit protocol is proposed. This protocol provides a reliable method to transmit the secret quantum data via a noisy quantum channel while the entanglement between particles is not…

Cryptography and Security · Computer Science 2016-06-02 Hadi Farahani

Since its first use by Euler on the problem of the seven bridges of K\"onigsberg, graph theory has shown excellent abilities in solving and unveiling the properties of multiple discrete optimization problems. The study of the structure of…

Information Theory · Computer Science 2020-02-26 Ahmed Douik , Hayssam Dahrouj , Tareq Y. Al-Naffouri , Mohamed-Slim Alouini

In this paper, we theoretically and experimentally analyze sequential processors with limited communication between parts. We compare the expressivity of sequential quantum and classical processors under the same constraints. They consist…

This paper addresses multi-user quantum key distribution networks, in which any two users can mutually exchange a secret key without trusting any other nodes. The same network also supports conventional classical communications by assigning…

Quantum Physics · Physics 2012-11-27 Mohsen Razavi

Using a quantum processor to embed and process classical data enables the generation of correlations between variables that are inefficient to represent through classical computation. A fundamental question is whether these correlations…

Quantum computing has been a prominent research area for decades, inspiring transformative fields such as quantum simulation, quantum teleportation, and quantum machine learning (QML), which are undergoing rapid development. Within QML,…

Quantum Physics · Physics 2025-04-01 Shiwen An , Konstantinos Slavakis

Quantum information theory studies the fundamental limits that physical laws impose on information processing tasks such as data compression and data transmission on noisy channels. This thesis presents general techniques that allow one to…

Quantum Physics · Physics 2010-04-13 Frédéric Dupuis

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…

Quantum Physics · Physics 2015-06-29 Gilles Brassard , Anne Broadbent , Alain Tapp

Alice and Bob receive a bipartite state (possibly entangled) from some finite collection or from some subspace. Alice sends a message to Bob through a noisy quantum channel such that Bob may determine the initial state, with zero chance of…

Quantum Physics · Physics 2015-11-17 Dan Stahlke

This paper analyses a classical and a quantum annealing approach to compute the minimum deployment of Quantum Key Distribution (QKD) hardware in a tier 1 provider network. The ensemble of QKD systems needs to be able to exchange as many…

Recent progress in applying complex network theory to problems in quantum information has resulted in a beneficial crossover. Complex network methods have successfully been applied to transport and entanglement models while information…

Quantum Physics · Physics 2019-05-22 Jacob Biamonte , Mauro Faccin , Manlio De Domenico

In 1999 Raz demonstrated a partial function that had an efficient quantum two-way communication protocol but no efficient classical two-way protocol and asked, whether there existed a function with an efficient quantum one-way protocol, but…

Computational Complexity · Computer Science 2022-04-05 Dmytro Gavinsky

In quantum information theory there is a construction for quantum channels, appropriately called a quantum graph, that generalizes the confusability graph construction for classical channels in classical information theory. In this paper,…

Combinatorics · Mathematics 2019-11-11 Javier Alejandro Chávez-Domínguez , Andrew T. Swift

Quantum computers theoretically are able to solve certain problems more quickly than any deterministic or probabilistic computers. A quantum computer exploits the rules of quantum mechanics to speed up computations. However, one has to…

Information Theory · Computer Science 2010-02-17 Salah A. Aly , Alexei Ashikhmin

We describe the theory of quantum convolutional error correcting codes. These codes are aimed at protecting a flow of quantum information over long distance communication. They are largely inspired by their classical analogs which are used…

Quantum Physics · Physics 2007-05-23 H. Ollivier , J. -P. Tillich

This work investigates the application of quantum machine learning techniques for classical and quantum communication across different qubit channel models. By employing parameterized quantum circuits and a flexible channel noise model, we…

Quantum Physics · Physics 2023-07-14 Lakshika Rathi , Stephen DiAdamo , Alireza Shabani

We present a quantum-inspired classical algorithm that can be used for graph-theoretical problems, such as finding the densest $k$-subgraph and finding the maximum weight clique, which are proposed as applications of a Gaussian boson…

Quantum Physics · Physics 2024-06-10 Changhun Oh , Bill Fefferman , Liang Jiang , Nicolás Quesada