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3 - Quantum computation

from Part I - Preliminaries

Published online by Cambridge University Press:  05 August 2012

Jiannis K. Pachos
Affiliation:
University of Leeds
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Summary

Computation is a process of performing a large number of simple operations. The main building blocks of classical computers are bits. Each of them can take either the value 0 or 1. A series of gates can change these values by acting on them selectively. This process is structured to fulfil a purpose. For example, if we are interested in adding two numbers, the numbers are encoded into bits and gates are performed such that the final state of the bits reveals the desired answer: a number which is the sum of the initial ones. While it is possible to build algorithms that can perform almost any computation, it is also desirable to find the answer within a reasonable length of time or with a reasonable amount of resources. There is an ever-growing demand in computational power for both scientific and commercial purposes. Indeed, it is surprisingly easy to find an application that can jam even the fastest computer. This fuels a vast effort in the research of information science to increase the speed and processing power of computers.

Modern computational models are based on the universal Turing machine (Turing, 1937). This is a theoretical information processing model that employs the elementary gate processes described above. It can efficiently simulate any other device capable of performing an algorithmic process. Since the introduction of the Turing machine, physics has influenced computation in many ways.

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Publisher: Cambridge University Press
Print publication year: 2012

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  • Quantum computation
  • Jiannis K. Pachos, University of Leeds
  • Book: Introduction to Topological Quantum Computation
  • Online publication: 05 August 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511792908.003
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  • Quantum computation
  • Jiannis K. Pachos, University of Leeds
  • Book: Introduction to Topological Quantum Computation
  • Online publication: 05 August 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511792908.003
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Quantum computation
  • Jiannis K. Pachos, University of Leeds
  • Book: Introduction to Topological Quantum Computation
  • Online publication: 05 August 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511792908.003
Available formats
×