Density Matrix - Pure and Mixed States

Pure and Mixed States

In quantum mechanics, a quantum system is represented by a state vector (or ket) . A quantum system with a state vector is called a pure state. However, it is also possible for a system to be in a statistical ensemble of different state vectors: For example, there may be a 50% probability that the state vector is and a 50% chance that the state vector is . This system would be in a mixed state. The density matrix is especially useful for mixed states, because any state, pure or mixed, can be characterized by a single density matrix.

A mixed state is different from a quantum superposition. In fact, a quantum superposition of pure states is another pure state, for example .

Read more about this topic:  Density Matrix

Famous quotes containing the words pure and, pure, mixed and/or states:

    Honesty, respectability, the “what-will-people-say”, the wisdom of nations, nothing means anything any more. Everything disappears before fear. Fear, eh, Caesonia, that noble sentiment, unallayed, pure and disinterested, one of those rare ones that get their nobility from the belly.
    Albert Camus (1913–1960)

    Whenever a person strives, by the help of dialectic, to start in pursuit of every reality by a simple process of reason, independent of all sensuous information—never flinching, until by an act of the pure intelligence he has grasped the real nature of good—he arrives at the very end of the intellectual world.
    Plato (c. 427–347 B.C.)

    There are certain queer times and occasions in this strange mixed affair we call life when a man takes this whole universe for a vast practical joke, though the wit thereof he but dimly discerns, and more than suspects that the joke is at nobody’s expense but his own.
    Herman Melville (1819–1891)

    My only rival, the United States cavalry.
    James Kevin McGuinness, and John Ford. Mrs. Yorke (Maureen O’Hara)