References
- A.R. Calderbank and P.W, Shor, "Good quantum error-correcting codes exist," Phys. Rev. A, vol. 54, no. 2, pp. 1098-1105, August 1996. https://doi.org/10.1103/PhysRevA.54.1098
- Q.R. Calderbank, E.M. Rains, P.W, Shor and N.J.A. Sloane, "Quantum error correction via codes over GF(4):' ZEEE Trans. on Infunnation Theogl, vol, 44, no. 4, pp. -1.1369-138J7ul,y 1998.
- R. G. Gallager, "Low-density parity-check codes," IEEE Tram. on Inforinariorz Theory, vol. 8, no. 1, PP. 21-28, January 1962. https://doi.org/10.1109/TIT.1962.1057683
- P.W. Shor, Proceedings 35th Annual Symposium on Foundations of computer Science, IEEE Computer Society Press, Los Alamitos, CA, 1994, P. 124.
- Grover L.K., "A fast quantum mechanical algorithm for database search," Proceedings, 28th Annual ACM Symposium on the Theory of Computing, P. 212 (May 1996)
- S. Wieder, The Foundations of Quantum Theory. Academic Press, 1973.
- E. Hagley et al., "Generation of Einstein-Podolsky-Rosen Pairs of Atoms," Phys. Rev. Lett, 79, 1997. pp. 1-5. https://doi.org/10.1103/PhysRevLett.79.1
- A. Zeilinger, Scientific American, April 2000, P. 32; The Physics of Quantum Information, edited by D. Bouwmeester, A. Ekert, and A. Zeilinger, Springer-Verlag, Berlin, Ch. 3, 2000.
- Michael A. Nielsen and Isaac L. Chuang, "Quantum Computation and Quantum Information," Cambridge University Press, 2000
- P. Shor, "Scheme for reducing decoherence in quantum computer memory," Phys. Rev. A, vol. 52 (R), pp. 2493-2496, 1995. https://doi.org/10.1103/PhysRevA.52.R2493
- A. M. Steane, "Error correcting codes in quantum theory," Phys. Rev. Lett., vol. 77, no. 5, PP. 793-797, Jul 1996. https://doi.org/10.1103/PhysRevLett.77.793
- A. Steane, "Multiple Particle Interference and Quantum Error Correction," Proc. of the Royal Society A, vol. 452, no. 1954, PP. 2551-2577, November 1996. https://doi.org/10.1098/rspa.1996.0136
- C. Berrou. A. Glavieux, and P. Thitimajshima, "Near Shannon Limit Error-Correcting Coding and Decoding: Turbo-Codes," Proc. ICC'93, May 1993.
- D. J. C. MacKay, "Good Error-Correcting Codes Based on Very Sparse Matrices," IEEE Trans. on Information Theory, vol. 45, no. 2, pp. 399-431, March 1999. https://doi.org/10.1109/18.748992
- D. J. C. MacKay, G. Mitchison, and P. L. McFadden, "Sparse-Graph Codes for Quantum Error-Correction," IEEE Trans. on Information Theory, vol. 50, no. 10, PP. 2315-2330, October 2004. https://doi.org/10.1109/TIT.2004.834737
- H. Lou and J. Garcia-Frias, "Quantum Error-Correction Using Codes with Low-Density Generator Matrix," Proc. SPAWC'05, June 2005.
- H. Lou and J. Garcia-Frias, "On the Application of Error- Correcting Codes with Low-Density Generator Matrix over Different Quantum Channels," Proc. International Symposium on Turbo Codes, April 2006.
- G. Mackey, Mathematical Foundations of Quantum Mechanics, W. A. Benjamin, 1963
- J. von Neumann, Mathematical Foundations of Quantum Mechanics, Princeton University Press, 1955.