EXIT-chart-aided near-capacity quantum turbo code design

IEEE Transactions on Vehicular Technology

Volumn 64, Issue 3, 2015, Pages 866-875

  Babar, Zunaira ^a   Ng, Soon Xin ^a   Hanzo, Lajos ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

EXtrinsic Information Transfer (EXIT) charts; near capacity design; quantum error correction; turbo codes

Indexed keywords

CODES (SYMBOLS); DESIGN; ERROR CORRECTION; INTELLIGENT SYSTEMS; TURBO CODES;

CAPACITY DESIGN; DETECTION COMPLEXITY; EXIT CHART ANALYSIS; EXTRINSIC INFORMATION TRANSFER CHARTS; NEAR-CAPACITY CODES; QUANTUM DETECTORS; QUANTUM ERROR CORRECTION CODES; QUANTUM ERROR CORRECTIONS;

MONTE CARLO METHODS;

EID: 84925070607     PISSN: 00189545     EISSN: None     Source Type: Journal    
DOI: 10.1109/TVT.2014.2328638     Document Type: Article

References (35)

1. S. X. Ng and L. Hanzo, "On the MIMO channel capacity of multidimensional signal sets, " IEEE Trans. Veh. Technol., vol. 55, no. 2, pp. 528-536, Mar. 2006.
2. J.-M. Chung, J. Kim, and D. Han, "Multihop hybrid virtualMIMO scheme for wireless sensor networks, " IEEE Trans. Veh. Technol., vol. 61, no. 9, pp. 4069-4078, Nov. 2012.
3. J. Lee and S.-H. Lee, "A compressed analog feedback strategy for spatially correlated massive MIMO systems, " in Proc. IEEE VTC Fall, 2012, pp. 1-6.
4. S. Imre and F. Balazs, Quantum Computing and Communications: An Engineering Approach. Hoboken, NJ, USA: Wiley, 2005.
5. P. Botsinis, S. X. Ng, and L. Hanzo (2013). Quantum search algorithms, quantum wireless, a low-complexity maximum likelihood iterative quantum multi-user detector design. IEEE Access [online]. vol. 1, pp. 94-122. Available: http://ieeexplore.ieee.org/xpl/articleDetails. jsp?arnumber=6515077
6. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information. Cambridge, U.K.: Cambridge Univ. Press, 2000.
7. X. Zhou and M. McKay, "Secure transmission with artificial noise over fading channels: Achievable rate and optimal power allocation, " IEEE Trans. Veh. Technol., vol. 59, no. 8, pp. 3831-3842, Oct. 2010.
8. D. Poulin, J.-P. Tillich, and H. Ollivier, "Quantum serial turbo-codes, " in Proc. IEEE ISIT, Jul. 2008, pp. 310-314.
9. D. Poulin, J. Tillich, and H. Ollivier, "Quantum serial turbo codes, " IEEE Trans. Inf. Theory, vol. 55, no. 6, pp. 2776-2798, Jun. 2009.
10. M. M. Wilde and M.-H. Hsieh, "Entanglement boosts quantum turbo codes, " in Proc. IEEE ISIT, Aug. 2011, pp. 445-449.
11. M. Wilde, M.-H. Hsieh, and Z. Babar, "Entanglement-assisted quantum turbo codes, " IEEE Trans. Inf. Theory, vol. 60, no. 2, pp. 1203-1222, Feb. 2014.
12. Z. Babar, S. X. Ng, and L. Hanzo, "Near-capacity code design for entanglement-assisted classical communication over quantum depolarizing channels, " IEEE Trans. Commun., vol. 61, no. 12, pp. 4801-4807, Dec. 2013.
13. H. Ollivier and J.-P. Tillich (2003, Oct.). Description of a quantum convolutional code. Phys. Rev. Lett. [online]. vol. 91, no. 17, pp. 1779021-1779024. Available: http://link.aps.org/doi/10.1103/PhysRevLett.91.177902
14. H. Ollivier and J. P. Tillich, Quantum Convolutional Codes: Fundamentals 2004, quant-ph/0401134.
15. G. D. Forney, M. Grassl, and S. Guha, "Convolutional and tail-biting quantum error-correcting codes, " IEEE Trans. Inf. Theory, vol. 53, no. 3, pp. 865-880, Mar. 2007.
16. M. Grassl and M. Rotteler, "Constructions of quantum convolutional codes, " in Proc. IEEE ISIT, Jun. 2007, pp. 816-820.
17. M. Houshmand and M. Wilde, "Recursive quantum convolutional encoders are catastrophic: A simple proof, " IEEE Trans. Inf. Theory, vol. 59, no. 10, pp. 6724-6731, Oct. 2013.
18. S. ten Brink, "Convergence behavior of iteratively decoded parallel concatenated codes, " IEEE Trans. Commun., vol. 49, no. 10, pp. 1727-1737, Oct. 2001.
19. D. Gottesman, "Class of quantum error-correcting codes saturating the quantum Hamming bound, " Phys. Rev. A, At. Mol. Opt. Phys., vol. 54, no. 3, pp. 1862-1868, Sep. 1996.
20. E. Pelchat and D. Poulin, "Degenerate Viterbi decoding, " IEEE Trans. Inf. Theory, vol. 59, no. 6, pp. 3915-3921, Jun. 2013.
21. R. Cleve (1997, Jun.). Quantum stabilizer codes and classical linear codes. Phys. Rev. A, At. Mol. Opt. Phys. [online]. vol. 55, no. 6, pp. 4054-4059. Available: http://link.aps.org/doi/10.1103/PhysRevA.55.4054
22. D. J. C. Mackay, G. Mitchison, and P. L. Mcfadden, "Sparse-graph codes for quantum error-correction, " IEEE Trans. Inf. Theory, vol. 50, no. 10, pp. 2315-2330, Oct. 2003.
23. Z. Babar, S. X. Ng, and L. Hanzo, "Reduced-complexity syndrome-based TTCM decoding, " IEEE Commun. Lett., vol. 17, no. 6, pp. 1220-1223, Jun. 2013.
24. J. Dehaene and B. De Moor (2003, Oct.). Clifford group, stabilizer states, linear and quadratic operations over GF(2). Phys. Rev. A, At. Mo. Opt. Phys. [online]. vol. 68, no. 4, pp. 042318-1-042318-10. Available: http://link.aps.org/doi/10.1103/PhysRevA.68.042318
25. L. Hanzo, T. H. Liew, B. L. Yeap, R. Y. S. Tee, and S. X. Ng, Turbo Coding, Turbo Equalisation and Space-Time Coding: EXIT-Chart-Aided Near-Capacity Designs for Wireless Channels, 2nd ed. New York, NY, USA: Wiley, Mar. 2011.
26. M. El-Hajjar and L. Hanzo, "EXIT charts for system design and analysis, " IEEE Commun. Surveys Tuts., vol. 16, no. 1, pp. 1-27, May 2013.
27. S. Ten Brink, "Rate one-half code for approaching the Shannon limit by 0.1 dB, " Electron. Lett., vol. 36, no. 15, pp. 1293-1294, Jul. 2000.
28. L. Kong, S. X. Ng, R. Maunder, and L. Hanzo, "Maximum-throughput irregular distributed space-time code for near-capacity cooperative communications, " IEEE Trans. Veh. Technol., vol. 59, no. 3, pp. 1511-1517, Mar. 2010.
29. S. Ibi, T. Matsumoto, R. Thoma, S. Sampei, and N. Morinaga, "EXIT chart-aided adaptive coding for multilevel BICM with turbo equalization in frequency-selective MIMO channels, " IEEE Trans. Veh. Technol., vol. 56, no. 6, pp. 3757-3769, Nov. 2007.
30. M. M. Wilde, Quantum Information Theory. Cambridge, USA: Cambridge Univ. Press, May 2013. [online]. Available: http://arxiv.org/abs/1106.1445
31. P. Tan and J. Li, "Efficient quantum stabilizer codes: LDPC and LDPCconvolutional constructions, " IEEE Trans. Inf. Theory, vol. 56, no. 1, pp. 476-491, Jan. 2010.
32. A. Grant, "Convergence of non-binary iterative decoding, " in Proc. IEEE Global Telecommun. Conf., 2001, vol. 2, pp. 1058-1062.
33. J. Kliewer, S. X. Ng, and L. Hanzo, "Efficient computation of EXIT functions for non-binary iterative decoding, " IEEE Trans. Commun., vol. 54, no. 12, pp. 2133-2136, Dec. 2006.
34. S. X. Ng, O. Alamri, Y. Li, J. Kliewer, and L. Hanzo, "Near-capacity turbo trellis coded modulation design based on EXIT charts and union bounds, " IEEE Trans. Commun., vol. 56, no. 12, pp. 2030-2039, Dec. 2008.
35. D. P. Divincenzo, D. Leung, and B. Terhal, "Quantum data hiding, " IEEE Trans. Inf. Theory, vol. 48, no. 3, pp. 580-598, Mar. 2002.