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Phys. Rev. Lett. 77, 198–201 (1996)

Perfect Quantum Error Correcting Code

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Raymond Laflamme1, Cesar Miquel1,2, Juan Pablo Paz1,2, and Wojciech Hubert Zurek1
1Theoretical Astrophysics, T-6, MS B288, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
2Departamento de Física, FCEyN, Pabellón 1, Ciudad Universitaria, 1428 Buenos Aires, Argentina

Received 28 February 1996; published in the issue dated 1 July 1996

We present a quantum error correction code which protects a qubit of information against general one qubit errors. To accomplish this, we encode the original state by distributing quantum information over five qubits, the minimal number required for this task. We describe a circuit which takes the initial state with four extra qubits in the state |0 to the encoded state. It can also be converted into a decoder by running it backward. The original state of the encoded qubit can then be restored by a simple unitary transformation.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.77.198
DOI:
10.1103/PhysRevLett.77.198
PACS:
89.70.+c, 02.70.-c, 03.65.-w, 89.80.+h