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Canadian Summer School on Quantum Information (CSSQI) (10th : 2010)
Quantum Error Correction Gottesman, Daniel
Description
Errors are likely to be a serious problem for quantum computers, both because they are built of small components and because qubits are inherently more vulnerable to error than classical bits because of processes such as decoherence. Consequently, to build a large quantum computer, we will likely need quantum error-correcting codes, which split up quantum states among a number of qubits in such a way that it is possible to correct for small errors. I will give an overview of the theory of quantum error correction and a discussion of fault-tolerant quantum computation, which applies quantum error-correcting codes to allow more reliable quantum computations. I will cover Shor's 9-qubit code, stabilizer codes, CSS codes, and the threshold theorem, which says that arbitrarily long reliable quantum computations are possible, provided the error rate per gate or time step is below some constant threshold value.
Item Metadata
Title |
Quantum Error Correction
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Creator | |
Contributor | |
Date Issued |
2010-11-09
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Description |
Errors are likely to be a serious problem for quantum computers, both
because they are built of small components and because qubits are
inherently more vulnerable to error than classical bits because of
processes such as decoherence. Consequently, to build a large quantum
computer, we will likely need quantum error-correcting codes, which
split up quantum states among a number of qubits in such a way that it
is possible to correct for small errors. I will give an overview of
the theory of quantum error correction and a discussion of
fault-tolerant quantum computation, which applies quantum
error-correcting codes to allow more reliable quantum computations. I
will cover Shor's 9-qubit code, stabilizer codes, CSS codes, and the
threshold theorem, which says that arbitrarily long reliable quantum
computations are possible, provided the error rate per gate or time
step is below some constant threshold value.
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Type | |
Language |
eng
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Date Available |
2016-11-22
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0040931
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Other
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International