The Sign Flip Code
Flipped bits are the only kind of error in classical computer, but there is another possibility of an error with quantum computers, the sign flip. Through the transmission in a channel the relative sign between and can become inverted. For instance, a qubit in the state may have its sign flip to
The original state of the qubit
will be changed into the state
In the Hadamard basis, bit flips become sign flips and sign flips become bit flips. Let be a quantum channel that can cause at most one phase flip. Then the bit flip code from above can recover by transforming into the Hadamard basis before and after transmission through .
Read more about this topic: Quantum Error Correction
Famous quotes containing the words sign, flip and/or code:
“Don’t pay any attention to Ah Ling. He has a mania for quoting Confucius. And Charlie Chan.”
—Joseph O’Donnell. Clifford Sanforth. Mrs. Houghland, Murder by Television, reassuring her friends after the houseboy has pointed out a sign of ill omen (1935)
“By act of Congress, male officers are gentlemen, but by act of God, we are ladies. We don’t have to be little mini-men and try to be masculine and use obscene language to come across. I can take you and flip you on the floor and put your arms behind your back and you’ll never move again, without your ever knowing that I can do it.”
—Sherian Grace Cadoria (b. 1940)
“Motion or change, and identity or rest, are the first and second secrets of nature: Motion and Rest. The whole code of her laws may be written on the thumbnail, or the signet of a ring.”
—Ralph Waldo Emerson (1803–1882)