Perfect quantum error correcting code

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 i...

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Autores principales: Miquel, César, Paz, Juan Pablo
Publicado: 1996
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v77_n1_p198_Laflamme
http://hdl.handle.net/20.500.12110/paper_00319007_v77_n1_p198_Laflamme
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00319007_v77_n1_p198_Laflamme
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spelling paper:paper_00319007_v77_n1_p198_Laflamme2025-07-30T17:39:25Z Perfect quantum error correcting code Miquel, César Paz, Juan Pablo 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. Fil:Miquel, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Paz, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1996 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v77_n1_p198_Laflamme http://hdl.handle.net/20.500.12110/paper_00319007_v77_n1_p198_Laflamme
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description 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.
author Miquel, César
Paz, Juan Pablo
spellingShingle Miquel, César
Paz, Juan Pablo
Perfect quantum error correcting code
author_facet Miquel, César
Paz, Juan Pablo
author_sort Miquel, César
title Perfect quantum error correcting code
title_short Perfect quantum error correcting code
title_full Perfect quantum error correcting code
title_fullStr Perfect quantum error correcting code
title_full_unstemmed Perfect quantum error correcting code
title_sort perfect quantum error correcting code
publishDate 1996
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v77_n1_p198_Laflamme
http://hdl.handle.net/20.500.12110/paper_00319007_v77_n1_p198_Laflamme
work_keys_str_mv AT miquelcesar perfectquantumerrorcorrectingcode
AT pazjuanpablo perfectquantumerrorcorrectingcode
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