Abstract:
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.
Registro:
Documento: |
Artículo
|
Título: | Perfect quantum error correcting code |
Autor: | Laflamme, R.; Miquel, C.; Paz, J.P.; Zurek, W.H. |
Filiación: | Theoretical Astrophysics, T-6, MS B288, Los Alamos National Laboratory, Los Alamos, NM, 87545, United States Departamento de Física, FCEyN, Pabellón 1, Ciudad Universitaria, Buenos Aires, 1428, Argentina
|
Año: | 1996
|
Volumen: | 77
|
Número: | 1
|
Página de inicio: | 198
|
Página de fin: | 201
|
DOI: |
http://dx.doi.org/10.1103/PhysRevLett.77.198 |
Título revista: | Physical Review Letters
|
Título revista abreviado: | Phys Rev Lett
|
ISSN: | 00319007
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v77_n1_p198_Laflamme |
Referencias:
- Divincenzo, D.P., (1995) Science, 270, p. 255
- Lloyd, S., (1995) Sci. Am, 273 (4), p. 140
- Ekert, A., Jozsa, R., Rev. Mod. Phys, , to be publishedRMPHAT
- Shor, P.W., (1994) Proceedings of the 35Th Annual Symposium on Foundations of Computer Science, pp. 124-134. , S. Goldwasser, IEEE Computer Society Press, New York
- Zurek, W.H., (1991) Phys. Today, 44 (10), p. 36. , PHTOAD
- Unruh, W.G., (1995) Phys. Rev. A, 51, p. 992. , PLRAAN
- Chuang, I., Laflamme, R., Shor, P., Zurek, W.H., (1995) Science, 270, p. 1633. , SCIEAS
- Cirac, J.I., Zoller, P., (1995) Phys. Rev. Lett, 74, p. 4091. , PRLTAO
- Macwilliams, F.J., Sloane, N.J., (1977) The Theory of Error-Correcting Codes, , North-Holland Publishing Company, New York
- Zurek, W.H., (1984) Phys. Rev. Lett, 53, p. 391. , PRLTAO
- Miquel, C., Paz, J.P., Perazzo, R., Report No. Quant-Ph/9601021
- Shor, P.W., (1995) Phys. Rev. A, 52, p. 2493. , PLRAAN
- Steane, A., Report No. Quant-Ph/9601029, , to be published
- Calderbank, A.R., Shor, P.W., Report No. Quant-Ph/9512032
- Lee, E.A., Messerschmitt, D.G., (1988) Digital Communication, , Kluwer Academic Publishers, Dordrecht
- Schumacher, B., (1995) Phys. Rev. A, 51, p. 2738. , PLRAAN
- Knill, E., Laflamme, R., Report No. Quant-Ph/9604034
- Bennett, C.H., Divincenzo, D., private communication
Citas:
---------- APA ----------
Laflamme, R., Miquel, C., Paz, J.P. & Zurek, W.H.
(1996)
. Perfect quantum error correcting code. Physical Review Letters, 77(1), 198-201.
http://dx.doi.org/10.1103/PhysRevLett.77.198---------- CHICAGO ----------
Laflamme, R., Miquel, C., Paz, J.P., Zurek, W.H.
"Perfect quantum error correcting code"
. Physical Review Letters 77, no. 1
(1996) : 198-201.
http://dx.doi.org/10.1103/PhysRevLett.77.198---------- MLA ----------
Laflamme, R., Miquel, C., Paz, J.P., Zurek, W.H.
"Perfect quantum error correcting code"
. Physical Review Letters, vol. 77, no. 1, 1996, pp. 198-201.
http://dx.doi.org/10.1103/PhysRevLett.77.198---------- VANCOUVER ----------
Laflamme, R., Miquel, C., Paz, J.P., Zurek, W.H. Perfect quantum error correcting code. Phys Rev Lett. 1996;77(1):198-201.
http://dx.doi.org/10.1103/PhysRevLett.77.198