Semiclassical grounds of the Calderbank-Shor-Steane quantum error correction codes

A valid Calderbank-Shor-Steane (CSS) error correction code requires two classical linear codes for the preparation of the initial state (codewords). This code allow to correct for certain errors caused by an unwanted interaction which produces a degraded quantum state. However, this initial seven qu...

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Autor principal: Avila Aoki, Manuel
Formato: Articulo
Lenguaje:Inglés
Publicado: 2009
Materias:
Ciencias Informáticas
Coding Tools and Techniques
Data encryption standard (DES)
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/9651
http://journal.info.unlp.edu.ar/wp-content/uploads/JCST-Oct09-2.pdf
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SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-9651
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Informáticas
Coding Tools and Techniques
Data encryption standard (DES)
spellingShingle Ciencias Informáticas
Coding Tools and Techniques
Data encryption standard (DES)
Avila Aoki, Manuel
Semiclassical grounds of the Calderbank-Shor-Steane quantum error correction codes
topic_facet Ciencias Informáticas
Coding Tools and Techniques
Data encryption standard (DES)
description A valid Calderbank-Shor-Steane (CSS) error correction code requires two classical linear codes for the preparation of the initial state (codewords). This code allow to correct for certain errors caused by an unwanted interaction which produces a degraded quantum state. However, this initial seven qubits encoding can be obtained from a maximally entangled Bell state (0000000>+|1111111)/√ through an operation Hint whose explicit expression is derived in the present work. The price the CSS syndrome has to pay due to its classical grounds is that the operator Hint is not unitary. In other words, Hint is not a valid quantum gate i. e. this does not represent a logical operation. Consequently, the final state is not completely robust for the standard cryptography of Quantum Computation. Besides to be a non unitary operator, Hint, is not reversible introducing with this dissipative effects that destroy the coherence in the quantum computer. Additionally, this operator is not invariant under rotations of the protector qubits inducing then preferred directions of the propagation of the logical information. These are indeed the reasons that prompt us for extending the semi classical CSS quantum error correction codes formalism to a pure quantum Hamming codes.
format Articulo
Articulo
author Avila Aoki, Manuel
author_facet Avila Aoki, Manuel
author_sort Avila Aoki, Manuel
title Semiclassical grounds of the Calderbank-Shor-Steane quantum error correction codes
title_short Semiclassical grounds of the Calderbank-Shor-Steane quantum error correction codes
title_full Semiclassical grounds of the Calderbank-Shor-Steane quantum error correction codes
title_fullStr Semiclassical grounds of the Calderbank-Shor-Steane quantum error correction codes
title_full_unstemmed Semiclassical grounds of the Calderbank-Shor-Steane quantum error correction codes
title_sort semiclassical grounds of the calderbank-shor-steane quantum error correction codes
publishDate 2009
url http://sedici.unlp.edu.ar/handle/10915/9651
http://journal.info.unlp.edu.ar/wp-content/uploads/JCST-Oct09-2.pdf
work_keys_str_mv AT avilaaokimanuel semiclassicalgroundsofthecalderbankshorsteanequantumerrorcorrectioncodes
bdutipo_str Repositorios
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