Abstract

AbstractQuantum computers are designed to outperform standard computers by running quantum algorithms. Areas in which quantum algorithms can be applied include cryptography, search and optimisation, simulation of quantum systems and solving large systems of linear equations. Here we briefly survey some known quantum algorithms, with an emphasis on a broad overview of their applications rather than their technical details. We include a discussion of recent developments and near-term applications of quantum algorithms.

Highlights

  • A quantum computer is a machine designed to use quantum mechanics to do things which cannot be done by any machine based only on the laws of classical physics

  • Eventual applications of quantum computing range from breaking cryptographic systems to the design of new medicines. These applications are based on quantum algorithms—algorithms that run on a quantum computer and achieve a speedup, or other efficiency improvement, over any possible classical algorithm

  • We aim to give a broad overview of quantum algorithmics, focusing on algorithms with clear applications and rigorous performance bounds, and including recent progress in the field

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Summary

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Quantum computers are designed to outperform standard computers by running quantum algorithms. Areas in which quantum algorithms can be applied include cryptography, search and optimisation, simulation of quantum systems and solving large systems of linear equations. We briefly survey some known quantum algorithms, with an emphasis on a broad overview of their applications rather than their technical details. We include a discussion of recent developments and near-term applications of quantum algorithms. Npj Quantum Information (2016) 2, 15023; doi:10.1038/npjqi.2015.23; published online 12 January 2016

INTRODUCTION
Measuring quantum speedup
Informal definition
SEARCH AND OPTIMISATION
Amplitude amplification
Symmetric group
Adiabatic optimisation
SOLVING LINEAR EQUATIONS AND RELATED TASKS
Problem solved
String matching in
Full Text
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