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The quantum Yang-Baxter equation admits generalisations to systems of Yang-Baxter type equations called Yang-Baxter systems. Starting from algebra structures, we propose new constructions of some constant as well as the spectral-parameter…

Quantum Algebra · Mathematics 2007-11-15 Florin F. Nichita , Deepak Parashar

The concepts of topology and geometry are of critical importance in exploring exotic phases of quantum matter. Though they have been investigated on various experimental platforms, to date a direct probe of topological and geometric…

Quantum Physics · Physics 2024-06-07 Tianqi Chen , Hai-Tao Ding , Ruizhe Shen , Shi-Liang Zhu , Jiangbin Gong

We describe a fault-tolerant version of the one-way quantum computer using a cluster state in three spatial dimensions. Topologically protected quantum gates are realized by choosing appropriate boundary conditions on the cluster. We…

Quantum Physics · Physics 2007-07-24 Robert Raussendorf , Jim Harrington , Kovid Goyal

Large-scale quantum computers will require quantum gate operations between widely separated qubits. A method for implementing such operations, known as quantum gate teleportation (QGT), requires only local operations, classical…

Quantum tomography is a widely applicable tool for complete characterization of quantum states and processes. In the present work, we develop a method for precision-guaranteed quantum process tomography. With the use of the…

Quantum Physics · Physics 2020-01-17 E. O. Kiktenko , D. N. Kublikova , A. K. Fedorov

The (G, \theta)-Lie algebras are structures which unify the Lie algebras and Lie superalgebras. We use them to produce solutions for the quantum Yang-Baxter equation. The constant and the spectral-parameter Yang-Baxter equations and…

Quantum Algebra · Mathematics 2010-11-10 Florin F. Nichita , Bogdan P. Popovici

Topological quantum computing is a way of allowing precise quantum computations to run on noisy and imperfect hardware. One implementation uses surface codes created by forming defects in a highly-entangled cluster state. Such a method of…

Quantum Physics · Physics 2020-01-14 Dominic Horsman

Quantum teleportation is a very helpful information-theoretic protocol that allows to transfer an unknown arbitrary quantum state from one location to another without having to transmit the quantum system through the intermediate region.…

Quantum Physics · Physics 2022-03-02 Marius Krumm , Philippe Allard Guérin , Thomas Zauner , Časlav Brukner

The framework of distributed computing, consisting of several spatially separated input-output servers, has immense importance in distant data manipulation. One of the most challenging parts of this setting is to optimize the use of…

Quantum Physics · Physics 2023-04-11 Sutapa Saha , Tamal Guha , Some Sankar Bhattacharya , Manik Banik

The exotic quantum double and its universal R-matrix for quantum Yang-Baxter equation are constructed in terms of Drinfeld's quantum double theory.As a new quasi-triangular Hopf algebra, it is much different from those standard quantum…

High Energy Physics - Theory · Physics 2009-10-22 Chang-Pu Sun

We investigate the hardware requirements for quantum teleportation in an intercity-scale network topology consisting of two metropolitan-scale networks connected via a long-distance backbone link. Specifically, we identify the minimal…

Quantum Physics · Physics 2026-02-05 Soubhadra Maiti , Guus Avis , Sounak Kar , Stephanie Wehner

Quantum walks are accepted as a generic model for quantum transport. The character of the transport crucially depends on the properties of the walk like its geometry and the driving coin. We demonstrate that increasing transport distance…

Quantum Physics · Physics 2020-03-25 Jan Mareš , Jaroslav Novotný , Martin Štefaňák , Igor Jex

We introduce a shortcut to the adiabatic gate teleportation model of quantum computation. More specifically, we determine fast local counterdiabatic Hamiltonians able to implement teleportation as a universal computational primitive. In…

Quantum Physics · Physics 2016-01-12 Alan C. Santos , Raphael D. Silva , Marcelo S. Sarandy

We recognize quantum circuit model of computation as factorisable scattering model and propose that a quantum computer is associated with a quantum many-body system solved by the Bethe ansatz. As an typical example to support our…

General Physics · Physics 2012-04-10 Yong Zhang

We experimentally demonstrate a programmable quantum gate that applies a sign flip operation to data qubit in an arbitrary basis fully specified by the quantum state of a two-qubit program register. Our linear-optical implementation is…

Quantum Physics · Physics 2009-05-26 Lukas Slodicka , Miroslav Jezek , Jaromir Fiurasek

Quantum teleportation is one of the most important protocols in quantum information. By exploiting the physical resource of entanglement, quantum teleportation serves as a key primitive in a variety of quantum information tasks and…

Blind quantum computation (BQC) allows that a client who has limited quantum abilities can delegate quantum computation to a server who has advanced quantum technologies but learns nothing about the client's private information. However, it…

Quantum Physics · Physics 2022-01-12 Xiaoqian Zhang

We study quantum teleportation between two different types of optical qubits, one of which is "particle-like" and the other "field-like," via hybrid entangled states under the effects of decoherence. We find that teleportation from…

Quantum Physics · Physics 2012-12-05 Kimin Park , Seung-Woo Lee , Hyunseok Jeong

The gate version of quantum computation exploits several quantum key resources as superposition and entanglement to reach an outstanding performance. In the way, this theory was constructed adopting certain supposed processes imitating…

Quantum Physics · Physics 2017-06-13 Francisco Delgado

Simplest quantum teleportation algorithms can be represented in geometric terms in spaces of dimensions 3 (for real state-vectors) and 4 (for complex state-vectors). The geometric representation is based on geometric-algebra coding, a…

Quantum Physics · Physics 2009-03-25 Diederik Aerts , Marek Czachor , Lukasz Orlowski
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