Quantum Instrument - Description

Description

Usually it is implemented as a weighted collection of completely positive maps the sum of which is trace preserving.

Quantum Instrument: collection acts as: 
\rho^{AB} \rightarrow	
\tilde{\rho}^{AA'B} := \sum_k \mathcal{E}_k
\left( \rho^{AB} \right)\otimes \vert k \rangle \langle k\vert^{A'}

A quantum instrument is more general than a quantum operation because it records the outcome k of which operator acted on the state.

Read more about this topic:  Quantum Instrument

Famous quotes containing the word description:

    Everything to which we concede existence is a posit from the standpoint of a description of the theory-building process, and simultaneously real from the standpoint of the theory that is being built. Nor let us look down on the standpoint of the theory as make-believe; for we can never do better than occupy the standpoint of some theory or other, the best we can muster at the time.
    Willard Van Orman Quine (b. 1908)

    The type of fig leaf which each culture employs to cover its social taboos offers a twofold description of its morality. It reveals that certain unacknowledged behavior exists and it suggests the form that such behavior takes.
    Freda Adler (b. 1934)

    Why does philosophy use concepts and why does faith use symbols if both try to express the same ultimate? The answer, of course, is that the relation to the ultimate is not the same in each case. The philosophical relation is in principle a detached description of the basic structure in which the ultimate manifests itself. The relation of faith is in principle an involved expression of concern about the meaning of the ultimate for the faithful.
    Paul Tillich (1886–1965)