Stabilizer code: Difference between revisions

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Mathematical background: The key word "qubit" occurs for many times. So, it is unnecessary to add links to this word every time.
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Definition: Remove an unnecessary link, and fix a not-working link.
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does not contain the operator <math>-I^{\otimes n}</math>. The simultaneous
<math>+1</math>-[[eigenspace]] of the operators constitutes the ''codespace''. The
codespace has dimension <math>2^{k}</math> so that we can encode <math>k</math> [[qubit]]squbits into it. The
stabilizer <math>\mathcal{S}</math> has a minimal [[Representation (mathematics)|representation]] in terms of <math>n-k</math>
independent generators
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The generators are
independent in the sense that none of them is a product of any other two (up
to a [[Quantum state|global phase]]). The operators <math>g_{1},\ldots,g_{n-k}</math> function in the same
way as a [[parity check matrix]] does for a classical [[linear block code]].