General Codes
In general, a quantum code for a quantum channel is a subspace, where is the state Hilbert space, such that there exists another quantum channel with
where is the orthogonal projection onto . Here is known as the correction operation.
Read more about this topic: Quantum Error Correction
Famous quotes containing the words general and/or codes:
“We ought, says Kant, to become acquainted with the instrument, before we undertake the work for which it is to be employed; for if the instrument be insufficient, all our trouble will be spent in vain. The plausibility of this suggestion has won for it general assent and admiration.... But the examination can be only carried out by an act of knowledge. To examine this so-called instrument is the same as to know it.”
—Georg Wilhelm Friedrich Hegel (1770–1831)
“We must trust infinitely to the beneficent necessity which shines through all laws. Human nature expresses itself in them as characteristically as in statues, or songs, or railroads, and an abstract of the codes of nations would be an abstract of the common conscience.”
—Ralph Waldo Emerson (1803–1882)