Introduction to error correcting codes in quantum computers
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Artículo científico |
| Sprache: | en |
| Veröffentlicht: |
Sociedad Mexicana de Física A.C.
2006
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866815574565191680 |
|---|---|
| author | P. J. Salas-Peralta |
| author_facet | P. J. Salas-Peralta |
| contents | Introduction to error correcting codes in quantum computers P. J. Salas-Peralta Física, Astronomía y Matemáticas decoherence quantum computation Quantum error correcting codes The goal of this paper is to review the theoretical basis for achieving a faithful quantum information transmission and processing in the presence of noise. Initially, encoding and decoding, implementing gates and quantum error correction will be considered error-free. Finally, we shall relax this non-realistic assumption, introducing the quantum fault-tolerant concept. The existence of an error threshold permits us to conclude that there is no physical law preventing a quantum computer from being built. An error model based on the depolarising channel will be able to provide a simple estimate of the storage or memory computation error threshold: 5.2 10. The encoding is made by means of the [[7,1,3]] Calderbank-Shor-Steane quantum code, and Shor´s fault-tolerant method is used to measure the stabiliser´s generators. 2006 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57065616 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.52 |
| format | Artículo científico |
| id | redalyc_57065616 |
| language | en |
| publishDate | 2006 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Introduction to error correcting codes in quantum computers P. J. Salas-Peralta Física, Astronomía y Matemáticas decoherence quantum computation Quantum error correcting codes Introduction to error correcting codes in quantum computers P. J. Salas-Peralta Física, Astronomía y Matemáticas decoherence quantum computation Quantum error correcting codes The goal of this paper is to review the theoretical basis for achieving a faithful quantum information transmission and processing in the presence of noise. Initially, encoding and decoding, implementing gates and quantum error correction will be considered error-free. Finally, we shall relax this non-realistic assumption, introducing the quantum fault-tolerant concept. The existence of an error threshold permits us to conclude that there is no physical law preventing a quantum computer from being built. An error model based on the depolarising channel will be able to provide a simple estimate of the storage or memory computation error threshold: 5.2 10. The encoding is made by means of the [[7,1,3]] Calderbank-Shor-Steane quantum code, and Shor´s fault-tolerant method is used to measure the stabiliser´s generators. 2006 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57065616 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.52 |
| title | Introduction to error correcting codes in quantum computers |
| topic | Física, Astronomía y Matemáticas decoherence quantum computation Quantum error correcting codes |
| url | https://www.redalyc.org/articulo.oa?id=57065616 |