Construction of topological quantum codes on compact surfaces

2008 IEEE Information Theory Workshop, ITW

Volumn , Issue , 2008, Pages 391-395

  De Albuquerque, Clarice Dias ^a   Palazzo Jr , Reginaldo ^a   Da Silva, Eduardo Brandani ^b  

^a UNIVERSITY OF CAMPINAS   (Brazil)

^b STATE UNIVERSITY OF MARINGÁ   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ARTIFICIAL INTELLIGENCE; CODES (STANDARDS); CYBERNETICS; IMAGE CODING; INFORMATION THEORY; POWDERS; TOPOLOGY;

CONSTRUCTION PROCESSES; QUANTUM CODES; QUANTUM ERROR-CORRECTING CODES; TORIC CODES;

CODES (SYMBOLS);

EID: 51849106059     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ITW.2008.4578693     Document Type: Conference Paper

References (7)

1. A. Yu. Kitaev, "Fault-tolerant quantum computation by anyons," Ann. Phys., vol. 303, pp. 2-30, 2003.
2. D. Gottesman, "Class of quantum error-correcting codes saturating the quantum Hamming bound,"Phys. Rev. A, vol. 54, pp. 1862-1868, 1996.
3. M. H. Freedman and D. A. Meyer,' 'Projective plane and planar quantum codes," www.arXiv.org/quant-ph/9810055, 1998.
4. H. Bombin and M. A. Martin-Delgado, "Homological error correction: classical and quantum codes," J. Math. Phys., vol. 48, pp. 052105-1-052105-35, 2007.
5. E. Dennis, A. Yu. Kitaev, A. Landahl and J. Preskill, "Topological quantum memory," J. Math. Phys., vol. 43, pp. 4452-4505, 2002.
6. R.G. Cavalcante, H. Lazari, J. D. Lima and R. Palazzo Jr., "A New approach to the design of digital communication systems,"Discrete Mathematics and Theoretical Computer Science - DIMACS Series, Editors A. Ashikhimin and A. Barg, American Mathematical Society, vol. 68, pp. 145-177, 2005.
7. E. B. Silva, M. Firer, S. R. Costa and R. Palazzo Jr, "Signal constellations in the hyperbolic plane: A proposal for new communication systems," Journal the Franklin Institute, vol. 343, pp. 69-82, 2006.