Quantum Error Correction - General Codes

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

 (\mathcal{R} \circ \mathcal{E})(\rho) = \rho \quad \forall \rho = P_{\mathcal{C}}\rho P_{\mathcal{C}},

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:

    “There is in general good reason to suppose that in several respects the gods could all benefit from instruction by us human beings. We humans are—more humane.”
    —Friedrich Nietzsche (1844–1900)

    “I cannot help thinking that the menace of Hell makes as many devils as the severe penal codes of inhuman humanity make villains.”
    —George Gordon Noel Byron (1788–1824)