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We show how to make quantum networks, both standard and entanglement-based, genuine quantum by providing them with the possibility of handling superposed tasks and superposed addressing. This extension of their functionality relies on a…

Quantum Physics · Physics 2021-09-20 Jorge Miguel-Ramiro , Alexander Pirker , Wolfgang Dür

We study perfect state transfer in Kendon's model of discrete quantum walks. In particular, we give a characterization of perfect state transfer purely in terms of the graph spectra, and construct an infinite family of $4$-regular circulant…

Combinatorics · Mathematics 2018-08-20 Hanmeng Zhan

Quantum physics is known to allow for completely new ways to create, manipulate and store information. Quantum communication - the ability to transmit quantum information - is a primitive necessary for any quantum internet. At its core,…

Quantum Physics · Physics 2013-06-19 W. J. Munro , A. M. Stephens , S. J. Devitt , K. A. Harrison , Kae Nemoto

Sharing information coherently between nodes of a quantum network is at the foundation of distributed quantum information processing. In this scheme, the computation is divided into subroutines and performed on several smaller quantum…

A system of a two-level atom of an impurity (qubit) inserted into a periodic chain coupled to the continuum is studied with the use of the effective non-Hermitian Hamiltonian. Exact solutions are derived for the quasistationary eigenstates,…

Mesoscale and Nanoscale Physics · Physics 2013-09-13 Ya. S. Greenberg , C. Merrigan , A. Tayebi , V. Zelevinsky

We construct infinite families of graphs in which pretty good state transfer can be induced by adding a potential to the nodes of the graph (i.e. adding a number to a diagonal entry of the adjacency matrix). Indeed, we show that given any…

Combinatorics · Mathematics 2018-04-06 Or Eisenberg , Mark Kempton , Gabor Lippner

Spin networks, essentially labeled graphs, are ``good quantum numbers'' for the quantum theory of geometry. These structures encompass a diverse range of techniques which may be used in the quantum mechanics of finite dimensional systems,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Seth A. Major

There has been much recent study on the application of spin chains to quantum state transfer and communication. Here we discuss the utilisation of spin chains (set up for perfect quantum state transfer) for the knitting of distributed…

Quantum Physics · Physics 2011-09-12 R. Ronke , I. D'Amico , T. P. Spiller

We present a general formalism to the problem of perfect state-transfer (PST), where the state involves multiple excitations of the quantum network. A key feature of our formalism is that it allows for inclusion of nontrivial interactions…

Quantum Physics · Physics 2011-08-04 T. Brougham , G. M. Nikolopoulos , I. Jex

A chain of interacting spin behaves like a quantum mediator (quantum link) which allows two distant parties that control the ends of the chain to exchange quantum messages. We show that over repeated uses without resetting the study of a…

Quantum Physics · Physics 2009-11-13 Vittorio Giovannetti , Daniel Burgarth , Stefano Mancini

Over the past 50 years, conventional network routing design has undergone substantial growth, evolving from small networks with static nodes to large systems connecting billions of devices. This progress has been achieved through the…

Quantum Physics · Physics 2023-05-02 Binayak Kar , Pankaj Kumar

Quantum networks constitute a major part of quantum technologies. They will boost distributed quantum computing drastically by providing a scalable modular architecture of quantum chips, or by establishing an infrastructure for measurement…

Quantum Physics · Physics 2023-05-05 Seid Koudia

Quantum networks are considered as a promising future platform for quantum information exchange and quantum applications, which have capabilities far beyond the traditional communication networks. Remote quantum entanglement is an essential…

Networking and Internet Architecture · Computer Science 2022-06-01 Yiming Zeng , Jiarui Zhang , Ji Liu , Zhenhua Liu , Yuanyuan Yang

The formalism of quantum theory over discrete systems is extended in two significant ways. First, quantum evolutions are generalized to act over entire network configurations, so that nodes may find themselves in a quantum superposition of…

Quantum Physics · Physics 2024-10-30 Pablo Arrighi , Amélia Durbec , Matt Wilson

The effective Heisenberg interaction of long distance is constructed in spin qubits connected to a bus of two strongly coupled chains. Universal quantum computation can be realized on the basis of the bus which always keeps frozen at the…

Quantum Physics · Physics 2009-11-13 Xiang Hao , Shiqun Zhu

In quantum networks, one way to communicate is to distribute entanglements through swapping at intermediate nodes. Most existing work primarily aims to create efficient two-party end-to-end entanglement over long distances. However, some…

Beyond future applications, quantum networks open interesting fundamental perspectives, notably novel forms of quantum correlations. In this work we discuss quantum correlations in networks from the perspective of the underlying quantum…

Quantum networks have experienced rapid advancements in both theoretical and experimental domains over the last decade, making it increasingly important to understand their large-scale features from the viewpoint of statistical physics.…

Quantum Physics · Physics 2023-11-21 Xiangyi Meng , Xinqi Hu , Yu Tian , Gaogao Dong , Renaud Lambiotte , Jianxi Gao , Shlomo Havlin

We introduce some new perfect state transfer and teleportation schemes by quantum walks with two coins. Encoding the transferred information in coin 1 state and alternatively using two coin operators, we can perfectly recover the…

Quantum Physics · Physics 2018-02-09 Yun Shang , Yu Wang , Meng Li , Ruqian Lu

A quantum network is constructed via maximum entangled coherent states. The possibility of using this network to achieve communication between multi-participants is investigated. We showed that the probability of teleported unknown state…

Quantum Physics · Physics 2015-05-20 A. El Allati , Y. Hassouni , N. Metwally