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- W1536348525 abstract "This chapter gives an introduction to the basic concepts of quantum error correction, illustrated by some simple quantum error-correcting codes (QECCs). It shows that it is sufficient to be able to correct a finite number of different errors. Additionally, using error bases whose elements are tensor products, one has the notion of the weight of an error. This is very similar to the situation for classical error correction. The direct application of a fundamental principle of classical error-correcting codes, namely, the replication of information, essentially fails because quantum mechanics allows the coherent superposition of basis states. When restricted to basis states, the theory becomes completely classical, and error correction is possible. The chapter further discusses the CSS construction and stabilizer codes. Both of these are reduce the problem of quantum error correction to the problem of the correction of errors for a classical code." @default.
- W1536348525 created "2016-06-24" @default.
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- W1536348525 date "2016-04-18" @default.
- W1536348525 modified "2023-10-16" @default.
- W1536348525 title "Quantum Error Correction" @default.
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- W1536348525 doi "https://doi.org/10.1002/9783527805785.ch7" @default.
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