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Introduction to Quantum Information Science$
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Vlatko Vedral

Print publication date: 2006

Print ISBN-13: 9780199215706

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780199215706.001.0001

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Quantum error correction

Quantum error correction

Chapter:
(p.160) 13 Quantum error correction
Source:
Introduction to Quantum Information Science
Author(s):

Vlatko Vedral

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199215706.003.0013

Quantum error correction is a very advanced field, and researchers have invested a great deal of time in trying to find the best ways of combating errors in quantum computers, winch occur when the computer is not properly isolated from its environment. Theoretically, quantum computation can be stabilised against any kind of influence of the environment. Classical error correction has been generalised to quantum mechanics to show that a reliable quantum computer can be constructed out of unreliable simple elements, or quantum gates. This chapter discusses the basic techniques of quantum error correction and looks at some general conditions which a quantum error correction code has to satisfy, explains how to protect qubits against general errors and achieve fault-tolerant computing, compares quantum error correction with Maxwell's demon, and performs error correction for pure states and mixed states.

Keywords:   quantum error correction, quantum computation, fault-tolerant computing, quantum computers, quantum gates, Maxwell's demon, qubits, pure states, mixed states

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