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:

    The general fact is that the most effective way of utilizing human energy is through an organized rivalry, which by specialization and social control is, at the same time, organized co-operation.
    Charles Horton Cooley (1864–1929)

    Thou hast a voice, great Mountain, to repeal
    Large codes of fraud and woe; not understood
    By all, but which the wise, and great, and good
    Interpret, or make felt, or deeply feel.
    Percy Bysshe Shelley (1792–1822)