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Quantum Computers and Quantum Algorithms. Part 2. Quantum Algorithms

Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics, 2016
The paper discusses principles of construction for quantum algorithms and their main features. Distinction of quantum parallelism from classical methods of high-performance computing is shown. Quantum algorithms design strategy is presented based on quantum circuits.
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Quantum Optimization and Quantum Learning: A Survey

IEEE Access, 2020
Quantum mechanism, which has received widespread attention, is in continuous evolution rapidly. The powerful computing power and high parallel ability of quantum mechanism equip the quantum field with broad application scenarios and brand-new vitality ...
Yangyang Li, Mengzhuo Tian, Guangyuan Liu, Cheng Peng, Licheng Jiao   +4 more
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Quantum Algorithm Implementations for Beginners

, 2020
As quantum computers become available to the general public, the need has arisen to train a cohort of quantum programmers, many of whom have been developing classical computer programs for most of their careers.
Adedoyin, Adetokunbo, Ambrosiano, John, Anisimov, Petr, Bärtschi, Andreas, Casper, William, Chennupati, Gopinath, Coffrin, Carleton, Coles, Patrick J., Djidjev, Hristo, Eidenbenz, Stephan, Gunter, David, J., Abhijith, Karra, Satish, Lemons, Nathan, Lin, Shizeng, Lokhov, Andrey Y., Malyzhenkov, Alexander, Mascarenas, David, Mniszewski, Susan, Nadiga, Balu, O'Malley, Daniel, Oyen, Diane, Pakin, Scott, Prasad, Lakshman, Roberts, Randy, Romero, Phillip, Santhi, Nandakishore, Sinitsyn, Nikolai, Swart, Pieter J., Vuffray, Marc, Wendelberger, James G., Yoon, Boram, Zamora, Richard, Zhu, Wei   +33 more
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Parallel Evaluation of Quantum Algorithms for Computational Fluid Dynamics [PDF]

, 2017
The development and evaluation of quantum computing algorithms for computational fluid dynamics is described along with a detailed analysis of the parallel performance of a quantum computer simulator developed as part of the present work.
Barakos, G.N., Steijl, R.
core  

On the expressivity of embedding quantum kernels

Machine Learning: Science and Technology
One of the most natural connections between quantum and classical machine learning has been established in the context of kernel methods. Kernel methods rely on kernels, which are inner products of feature vectors living in large feature spaces.
Elies Gil-Fuster, Jens Eisert, Vedran Dunjko   +2 more
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Quantum Computing for Finance: State-of-the-Art and Future Prospects

IEEE Transactions on Quantum Engineering, 2020
This article outlines our point of view regarding the applicability, state-of-the-art, and potential of quantum computing for problems in finance. We provide an introduction to quantum computing as well as a survey on problem classes in finance that are ...
Daniel J. Egger, Claudio Gambella, Jakub Marecek, Scott McFaddin, Martin Mevissen, Rudy Raymond, Andrea Simonetto, Stefan Woerner, Elena Yndurain   +8 more
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Fermion-to-qubit mappings with varying resource requirements for quantum simulation

New Journal of Physics, 2018
The mapping of fermionic states onto qubit states, as well as the mapping of fermionic Hamiltonian into quantum gates enables us to simulate electronic systems with a quantum computer.
Mark Steudtner, Stephanie Wehner
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Quantum circuits cannot control unknown operations

New Journal of Physics, 2014
One of the essential building blocks of classical computer programs is the ‘ if ’ clause, which executes a subroutine depending on the value of a control variable.
Mateus Araújo, Adrien Feix, Fabio Costa, Časlav Brukner   +3 more
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Quantum Algorithms for Learning and Testing Juntas

, 2007
In this article we develop quantum algorithms for learning and testing juntas, i.e. Boolean functions which depend only on an unknown set of k out of n input variables.
A. Atıcı, Alp Atıcı, E. Bernstein, E. Kushilevitz, E. Mossel, H. Chockler, J.C. Jackson, L.G. Valiant, N. Bshouty, N.H. Bshouty, O. Goldreich, R. Rubinfeld, R.A. Servedio, Rocco A. Servedio   +13 more
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Exact and efficient simulation of concordant computation

New Journal of Physics, 2015
Concordant computation is a circuit-based model of quantum computation for mixed states, that assumes that all correlations within the register are discord-free (i.e. the correlations are essentially classical) at every step of the computation.
Hugo Cable, Daniel E Browne
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