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Journal articles on the topic 'Unitary space-time codes'

Author: Grafiati

Published: 4 June 2021

Last updated: 17 February 2022

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1

Hassibi, B., and B. M. Hochwald. "Cayley differential unitary space-time codes." IEEE Transactions on Information Theory 48, no. 6 (June 2002): 1485–503. http://dx.doi.org/10.1109/tit.2002.1003836.

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2

Niyomsataya, Terasan, Ali Miri, and Monica Nevins. "Unitary Space–Time Constellation Designs From Group Codes." IEEE Transactions on Information Theory 53, no. 11 (November 2007): 4322–29. http://dx.doi.org/10.1109/tit.2007.907474.

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3

Attiah, Kareem M., Karim Seddik, and Ramy H. Gohary. "Differential Unitary Space-Time Constellations From Spherical Codes." IEEE Wireless Communications Letters 9, no. 11 (November 2020): 1909–13. http://dx.doi.org/10.1109/lwc.2020.3007915.

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4

Peng, Li, Qiuping Peng, and Lingling Yang. "A Design Method of Noncoherent Unitary Space-Time Codes." International Journal of Communications, Network and System Sciences 04, no. 07 (2011): 430–35. http://dx.doi.org/10.4236/ijcns.2011.47051.

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5

Larsson, E. G., and W. H. Wong. "Nonuniform Unitary Space–Time Codes for Layered Source Coding." IEEE Transactions on Wireless Communications 3, no. 3 (May 2004): 958–65. http://dx.doi.org/10.1109/twc.2004.827741.

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6

Jibing Wang and Xiaodong Wang. "Optimum design of noncoherent cayley unitary space-time codes." IEEE Transactions on Wireless Communications 5, no. 7 (July 2006): 1942–51. http://dx.doi.org/10.1109/twc.2006.1673105.

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7

Tarokh, V., and Il-Min Kim. "Existence and construction of noncoherent unitary space-time codes." IEEE Transactions on Information Theory 48, no. 12 (December 2002): 3112–17. http://dx.doi.org/10.1109/tit.2002.805075.

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8

Su, Xin, Kechu Yi, Bin Tian, and Yongjun Sun. "Reduced-complexity decoding algorithms for unitary space-time codes." Journal of Electronics (China) 24, no. 1 (January 2007): 112–15. http://dx.doi.org/10.1007/s11767-006-0062-0.

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9

Tong, Hongxi. "Constructions of unitary space-time codes with full diversity." Journal of Systems Science and Complexity 26, no. 4 (August 2013): 650–64. http://dx.doi.org/10.1007/s11424-013-0333-4.

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10

Yu, Fei, and HongXi Tong. "A construction of fully diverse unitary space-time codes." Science in China Series A: Mathematics 52, no. 10 (July 24, 2009): 2163–70. http://dx.doi.org/10.1007/s11425-009-0042-6.

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11

Hochwald, B., and E. Stauffer. "Low-Complexity Multi-Stream Space-Time Codes—Part II: Unitary-Transform Codes." IEEE Transactions on Communications 60, no. 2 (February 2012): 375–83. http://dx.doi.org/10.1109/tcomm.2011.121511.100222a.

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12

Han, Dongsheng, Wei Yang, and Yinghai Xie. "Noncoherent unitary space-time codes: Constellation design and decoding algorithm." China Communications 11, no. 14 (2014): 37–45. http://dx.doi.org/10.1109/cc.2014.7085382.

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13

Song, A., G. Wang, W. Su, and X. G. Xia. "Unitary Space–Time Codes From Alamouti's Scheme With APSK Signals." IEEE Transactions on Wireless Communications 3, no. 6 (November 2004): 2374–84. http://dx.doi.org/10.1109/twc.2004.837277.

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14

Love, D. J., and R. W. Heath. "Limited feedback unitary precoding for orthogonal space-time block codes." IEEE Transactions on Signal Processing 53, no. 1 (January 2005): 64–73. http://dx.doi.org/10.1109/tsp.2004.838928.

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15

Niyomsataya, Terasan, Ali Miri, and Monica Nevins. "Unitary Space–Time Group Codes: Diversity Sums From Character Tables." IEEE Transactions on Information Theory 54, no. 11 (November 2008): 5203–10. http://dx.doi.org/10.1109/tit.2008.929970.

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16

Van Khanh Nguyen and Yong Xiang. "MMSE precoder for unitary space-time codes in correlated time-varying channels." IEEE Signal Processing Letters 12, no. 8 (August 2005): 569–72. http://dx.doi.org/10.1109/lsp.2005.851265.

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17

Chen, H. H., and Y. C. Yeh. "Capacity of space–time block-coded CDMA systems: comparison of unitary and complementary codes." IEE Proceedings - Communications 152, no. 2 (2005): 203. http://dx.doi.org/10.1049/ip-com:20045033.

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18

Li, Shuangzhi, Jian-Kang Zhang, and Xiaomin Mu. "Double Full Diversity Massive Unitary Space–Time Codes for MIMO Channels." IEEE Transactions on Vehicular Technology 68, no. 4 (April 2019): 3686–701. http://dx.doi.org/10.1109/tvt.2019.2900403.

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19

Huang, Haiyang, Gang Wu, and Shaoqian Li. "Optimized non-unitary linear precoding for orthogonal space-time block codes." IEEE Communications Letters 13, no. 6 (June 2009): 414–16. http://dx.doi.org/10.1109/lcomm.2009.090480.

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20

Jibing Wang, Xiaodong Wang, and M. Madihian. "Design of minimum error-rate Cayley differential unitary space-time codes." IEEE Journal on Selected Areas in Communications 23, no. 9 (September 2005): 1779–87. http://dx.doi.org/10.1109/jsac.2005.853799.

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21

Konishi, T. "Unitary subgroup space-time codes using bruhat decomposition and weyl groups." IEEE Transactions on Information Theory 49, no. 10 (October 2003): 2713–17. http://dx.doi.org/10.1109/tit.2003.817462.

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22

Wang, J., M. K. Simon, and K. Yao. "On the Optimum Design of Unitary Cyclic Group Space–Time Codes." IEEE Transactions on Communications 52, no. 5 (May 2004): 706–10. http://dx.doi.org/10.1109/tcomm.2004.826256.

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23

Berhuy, Grégory. "Algebraic space-time codes based on division algebras with a unitary involution." Advances in Mathematics of Communications 8, no. 2 (2014): 167–89. http://dx.doi.org/10.3934/amc.2014.8.167.

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24

Tran, L. C., A. Mertins, and T. A. Wysocki. "Unitary Differential Space-Time-Frequency Codes for MB-OFDM UWB Wireless Communications." IEEE Transactions on Wireless Communications 12, no. 2 (February 2013): 862–76. http://dx.doi.org/10.1109/twc.2012.122212.120436.

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25

Hsiao-Feng Lu. "On the conjectures of SU(3) and AB unitary space-time codes." IEEE Transactions on Information Theory 52, no. 7 (July 2006): 3319–24. http://dx.doi.org/10.1109/tit.2006.876233.

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26

Wang, J., and X. Wang. "Optimum design of Cayley differential unitary space-time codes based on union bound." IEE Proceedings - Communications 153, no. 6 (2006): 856. http://dx.doi.org/10.1049/ip-com:20050567.

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27

Smith, David, and Leif Hanlen. "New group product differential unitary space-time codes with simplified design and detection." IEEE Transactions on Wireless Communications 7, no. 12 (December 2008): 4825–30. http://dx.doi.org/10.1109/t-wc.2008.071042.

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28

Shokrollahi, A. "Computing the performance of unitary space-time group codes from their character table." IEEE Transactions on Information Theory 48, no. 6 (June 2002): 1355–71. http://dx.doi.org/10.1109/tit.2002.1003826.

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29

Guo, Yong-liang, Shi-hua Zhu, and Feng Li. "The Numerical Computation of Error Performance for Unitary Space-Time Codes under Spatial Correlation." Journal of Electronics & Information Technology 30, no. 2 (February 25, 2011): 397–400. http://dx.doi.org/10.3724/sp.j.1146.2006.01284.

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30

Lavasani, Ali, Guanyu Zhu, and Maissam Barkeshli. "Universal logical gates with constant overhead: instantaneous Dehn twists for hyperbolic quantum codes." Quantum 3 (August 26, 2019): 180. http://dx.doi.org/10.22331/q-2019-08-26-180.

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Abstract:

A basic question in the theory of fault-tolerant quantum computation is to understand the fundamental resource costs for performing a universal logical set of gates on encoded qubits to arbitrary accuracy. Here we consider qubits encoded with constant space overhead (i.e. finite encoding rate) in the limit of arbitrarily large code distance d through the use of topological codes associated to triangulations of hyperbolic surfaces. We introduce explicit protocols to demonstrate how Dehn twists of the hyperbolic surface can be implemented on the code through constant depth unitary circuits, without increasing the space overhead. The circuit for a given Dehn twist consists of a permutation of physical qubits, followed by a constant depth local unitary circuit, where locality here is defined with respect to a hyperbolic metric that defines the code. Applying our results to the hyperbolic Fibonacci Turaev-Viro code implies the possibility of applying universal logical gate sets on encoded qubits through constant depth unitary circuits and with constant space overhead. Our circuits are inherently protected from errors as they map local operators to local operators while changing the size of their support by at most a constant factor; in the presence of noisy syndrome measurements, our results suggest the possibility of universal fault tolerant quantum computation with constant space overhead and time overhead of O(d/log⁡d). For quantum circuits that allow parallel gate operations, this yields the optimal scaling of space-time overhead known to date.

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31

Xinjia Chen, Kemin Zhou, and J. L. Aravena. "A new family of unitary space-time codes with a fast parallel sphere decoder algorithm." IEEE Transactions on Information Theory 52, no. 1 (January 2006): 115–40. http://dx.doi.org/10.1109/tit.2005.860421.

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32

JUNG, Y. S. "Improvement of Diagonally Weighted Space-Time Trellis Codes with Two Transmit Antennas by Using Unitary Rotation." IEICE Transactions on Communications E88-B, no. 9 (September 1, 2005): 3794–97. http://dx.doi.org/10.1093/ietcom/e88-b.9.3794.

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33

Niyomsataya, Terasan, Ali Miri, and Monica Nevins. "An Application of the Bruhat Decomposition to the Design of Full Diversity Unitary Space–Time Codes." IEEE Transactions on Information Theory 55, no. 1 (January 2009): 232–44. http://dx.doi.org/10.1109/tit.2008.2008125.

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34

Bhatnagar, M., A. Hjorungnes, and Lingyang Song. "Differential coding for non-orthogonal space-time block codes with non-unitary constellations over arbitrarily correlated rayleigh channels." IEEE Transactions on Wireless Communications 8, no. 8 (August 2009): 3985–95. http://dx.doi.org/10.1109/twc.2009.070623.

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35

Xue-Bin Liang and Xiang-Gen Xia. "Unitary signal constellations for differential space-time modulation with two transmit antennas: parametric codes, optimal designs, and bounds." IEEE Transactions on Information Theory 48, no. 8 (August 2002): 2291–322. http://dx.doi.org/10.1109/tit.2002.800498.

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36

Baggio, Giacomo, Francesco Ticozzi, Peter D. Johnson, and Lorenza Viola. "Dissipative encoding of quantum information." Quantum Information and Computation 21, no. 9-10 (August 2021): 737–70. http://dx.doi.org/10.26421/qic21.9-10-2.

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We formalize the problem of dissipative quantum encoding, and explore the advantages of using Markovian evolution to prepare a quantum code in the desired logical space, with emphasis on discrete-time dynamics and the possibility of exact finite-time convergence. In particular, we investigate robustness of the encoding dynamics and their ability to tolerate initialization errors, thanks to the existence of non-trivial basins of attraction. As a key application, we show that for stabilizer quantum codes on qubits, a finite-time dissipative encoder may always be constructed, by using at most a number of quantum maps determined by the number of stabilizer generators. We find that even in situations where the target code lacks gauge degrees of freedom in its subsystem form, dissipative encoders afford nontrivial robustness against initialization errors, thus overcoming a limitation of purely unitary encoding procedures. Our general results are illustrated in a number of relevant examples, including Kitaev's toric code.

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37

Bahceci, I., and T. M. Duman. "Trellis-Coded Unitary Space-Time Modulation." IEEE Transactions on Wireless Communications 3, no. 6 (November 2004): 2005–12. http://dx.doi.org/10.1109/twc.2004.837644.

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38

Tao, Meixia. "High rate trellis coded differential unitary space-time modulation via super unitarity." IEEE Transactions on Wireless Communications 5, no. 12 (December 2006): 3350–54. http://dx.doi.org/10.1109/twc.2006.256954.

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39

Wang, H., G. Wang, and X. G. Xia. "Some<tex>$2,times,2$</tex>Unitary Space–Time Codes From Sphere Packing Theory With Optimal Diversity Product of CodeSize<tex>$6$</tex>." IEEE Transactions on Information Theory 50, no. 12 (December 2004): 3361–68. http://dx.doi.org/10.1109/tit.2004.838105.

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40

Wu, Y., V. Lau, and M. Patzold. "Constellation Design for Trellis-Coded Unitary Space–Time Modulation." IEEE Transactions on Communications 54, no. 10 (October 2006): 1896. http://dx.doi.org/10.1109/tcomm.2006.881403.

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41

Vu, Huy G., Ha H. Nguyen, and David E. Dodds. "Performance Bound for LDPC Coded Unitary Space–Time Modulation." Wireless Personal Communications 47, no. 3 (March 28, 2008): 383–97. http://dx.doi.org/10.1007/s11277-008-9487-0.

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42

Steiner, A., M. Peleg, and S. Shamai. "Iterative decoding of space-time differentially coded unitary matrix modulation." IEEE Transactions on Signal Processing 50, no. 10 (October 2002): 2385–95. http://dx.doi.org/10.1109/tsp.2002.803348.

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43

Wu, Yi, Vincent K. N. Lau, and Matthias Patzold. "Constellation Design for Trellis-Coded Unitary Space Time Modulation Systems." IEEE Transactions on Communications 54, no. 11 (November 2006): 1948–59. http://dx.doi.org/10.1109/tcomm.2006.884828.

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44

Sun, Z., and T. T. Tjhung. "Multiple-Trellis-Coded Unitary Space-Time Modulation in Rayleigh Flat Fading." IEEE Transactions on Wireless Communications 3, no. 6 (November 2004): 2335–44. http://dx.doi.org/10.1109/twc.2004.837659.

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45

Meixia Tao and R. S. Cheng. "Trellis-coded differential unitary space-time modulation over flat fading channels." IEEE Transactions on Communications 51, no. 4 (April 2003): 587–96. http://dx.doi.org/10.1109/tcomm.2003.810844.

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46

Kim, Hong Chul, and Beomsup Kim. "Trellis-Coded Differential Unitary Space-Time Modulation with Multiple-Symbol Detection." AEU - International Journal of Electronics and Communications 58, no. 4 (January 2004): 302–4. http://dx.doi.org/10.1078/1434-8411-54100248.

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47

Lai, Wei-Min, Yen-Ming Chen, and Yeong-Luh Ueng. "Raptor-Coded Noncoherent Cooperative Schemes Based on Distributed Unitary Space–Time Modulation." IEEE Transactions on Communications 63, no. 8 (August 2015): 2873–84. http://dx.doi.org/10.1109/tcomm.2015.2446981.

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48

Yoshimochi, N., T. Hiramoto, A. Mizuki, Chang-Jun Ahn, and I. Sasase. "LDPC coded unitary space-time modulated OFDM system in broadband mobile channel." Electronics Letters 39, no. 13 (2003): 994. http://dx.doi.org/10.1049/el:20030649.

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49

Zhenyu Sun and Tjeng Thiang Tjhung. "On performance analysis and design criteria for trellis coded unitary space-time modulation." IEEE Communications Letters 7, no. 4 (April 2003): 156–58. http://dx.doi.org/10.1109/lcomm.2003.809999.

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50

Tran, Nghi H., Ha H. Nguyen, and Tho Le-Ngoc. "Coded Unitary Space–Time Modulation With Iterative Decoding: Error Performance and Mapping Design." IEEE Transactions on Communications 55, no. 4 (April 2007): 703–16. http://dx.doi.org/10.1109/tcomm.2007.894092.

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