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Entanglementassisted quantum LDPC codes from combinatorial designs
Metadaten
Formale Metadaten
Titel  Entanglementassisted quantum LDPC codes from combinatorial designs 
Serientitel  Second International Conference on Quantum Error Correction (QEC11) 
Autor 
Fujiwara, Yuichiro

Lizenz 
CCNamensnennung  keine kommerzielle Nutzung  keine Bearbeitung 3.0 Deutschland: Sie dürfen das Werk bzw. den Inhalt in unveränderter Form zu jedem legalen und nichtkommerziellen Zweck nutzen, vervielfältigen, verbreiten und öffentlich zugänglich machen, sofern Sie den Namen des Autors/Rechteinhabers in der von ihm festgelegten Weise nennen. 
DOI  10.5446/35309 
Herausgeber  University of Southern California (USC) 
Erscheinungsjahr  2011 
Sprache  Englisch 
Inhaltliche Metadaten
Fachgebiet  Informatik, Mathematik, Physik 
Abstract  The entanglementassisted stabilizer formalism is a generalized form of the stabilizer formalism. This framework allows the code designer to take advantage of a significantly wider range of classical errorcorrecting codes by using pairs of qubits in a maximally entangled state (or ebits). Lowdensity paritycheck (LDPC) codes are among the best known errorcorrecting codes in terms of error correction performance and decoding complexity in the classical domain and can also be imported to the quantum domain in a simple manner through the entanglementassisted stabilizer formalism. From a practical viewpoint, it is desirable to rely on fewer ebits while keeping the error correction ability inherited from classical LDPC codes. We present necessary and sufficient conditions for the existence of quantum LDPC codes consuming only one ebit which are obtainable from pairs of identical LDPC codes, and show relations of entanglementassisted quantum LDPC codes to some fundamental classes of combinatorial designs. 