Toffoli Gate - Related Logic Gates

Related Logic Gates

  • The Fredkin gate is a reversible 3-bit gate that swaps the last two bits if the first bit is 1; a controlled-swap operation.
  • The n-bit Toffoli gate is a generalization of Toffoli gate. It takes n bits x1, x2, ..., xn as inputs and outputs n bits. The first n−1 output bits are just x1, ..., xn−1. The last output bit is (x1 AND ... AND xn−1) XOR xn.
  • The Toffoli gate can be realized by five two-qubit quantum gates.
  • This gate is one of the reversible-gate cases that can be modeled with billiard balls (see billiard-ball computer). The billiard ball modeling was introduced by Fredkin and Toffoli. An example of how the collisions are used to model an electronic gate is shown in the figure.

Read more about this topic:  Toffoli Gate

Famous quotes containing the words related, logic and/or gates:

    In the middle years of childhood, it is more important to keep alive and glowing the interest in finding out and to support this interest with skills and techniques related to the process of finding out than to specify any particular piece of subject matter as inviolate.
    Dorothy H. Cohen (20th century)

    “... We need the interruption of the night
    To ease attention off when overtight,
    To break our logic in too long a flight,
    And ask us if our premises are right.”
    Robert Frost (1874–1963)

    Go through the gates with closed eyes.
    Stand erect and let your black face front the west.
    Arna Bontemps (1902–1973)