Title :
Upper bounds on the size of quantum codes
Author :
Ashikhmin, Alexei ; Litsyn, Simon
Author_Institution :
Los Alamos Nat. Lab., NM, USA
Abstract :
Upper bounds on the size of quantum error correcting codes are considered. We generalize the linear programming approach to the quantum case and obtain the Singleton, Hamming and first linear programming type bounds for quantum codes
Keywords :
error correction codes; linear programming; quantum cryptography; Hamming type bounds; Singleton type bounds; code size; linear programming; quantum error correcting codes; upper bounds; Error correction codes; Laboratories; Linear programming; Polynomials; Quantum mechanics; Rain; Upper bound;
Conference_Titel :
Information Theory, 1998. Proceedings. 1998 IEEE International Symposium on
Conference_Location :
Cambridge, MA
Print_ISBN :
0-7803-5000-6
DOI :
10.1109/ISIT.1998.708956