Ching-Yi Lai ¿à«C¨^

Basic Information

Ph.D. Candidate
Communication Sciences Institute
Department of Electrical Engineering Systems
University of Southern California
3740 McClintock Ave, EEB 514
Los Angeles, CA 90089-2565
U.S.A.

Office: EEB 514
Phone: (626) 695-3806
Email: laiching@usc.edu

my photo

Curriculum Vitae
Code Table: Bounds on the minimum distance of maxiaml-entanglement quantum codes
Publications

Tile operations of the Knill C4 code in two dimension


Bio-statement

Ching-Yi Lai is currently a Ph.D. candidate in the Communication Sciences Institute, Electrical Engineering Department at University of Southern California. He received his MS in 2006 and BS in 2004 from the Department of Electrical Engineering at National Tsing-Hua University in Taiwan, specializing in communication systems, error-correcting codes, and information theory. He is currently a research assistant under the supervision of Professor Todd Brun. His research interests include quantum computation and quantum information, especially in quantum error-correcting codes and fault-tolerant quantum computation.



Journal Publications(as of 09.18.2012)

  1. Ching-Yi Lai, Todd A. Brun, and Mark M. Wilde, ``Duality in Entanglement-Assisted Quantum Error Correction,''IEEE Transactions on Information Theory, to be published. (submitted April 29, 2011; revised April 20, 2012; accepted October 25, 2012.) [Online] Available: arXiv:1302.4150

  2. Ching-Yi Lai and Todd A. Brun, ``Entanglement-asisted quantum error-correcting codes with imperfect ebits,'' Physical Review A, 86, 032319, September, 2012. (submitted April 2012, accepted August 2012.) [Online] Available: arXiv:1204.0302.

  3. Ching-Yi Lai, Todd A. Brun, and Mark M. Wilde, ``Dualities and Identities for Entanglement-Assisted Quantum Codes,'' December, 2010. [Online] Available: arXiv:1010.5506.

  4. Ching-Yi Lai and Todd A. Brun, ``Entanglement Increases the Error-Correcting Ability of Quantum Error-Correcting Codes,'' submitted to Physical Review A, in revision, August 2012. [Online] Available: arXiv:1008.2598.

  5. Ching-Yi Lai and Chung-Chin Lu, ``A Construction of Quantum Stabilizer Codes Based on Syndrome Assignment by Classical Parity-Check Matrices," IEEE Transactions on Information Theory, volumn 57, issue 10, pps: 7163 - 7179, October 2011. (submitted December 2007, revised May 2011, accepted June 2011.) [Online] Available: arXiv:0712.0103v1


In Preparation

  1. M. Suchara, A. Faruque, C.-Y. Lai, G. Paz, T. Brun, F. Chong, and J. Kubiatowicz, ``Quantifying the Overhead of Topological and Concatenated Quantum Error Correction," in preparation, 2012.

  2. C.-Y. Lai, G. Paz, and M. Suchara, ``Performance and Error Analysis of the Knill C4/C6 code in Two Dimension," in preparation, 2012.

  3. C.-Y. Lai and Todd A. Brun, ``Bounds on the Existence of Entanglement-Assisted Quantum Error-Correcting Codes," in preparation, 2012.

Conferences

  1. Ching-Yi Lai and Todd A. Brun, ``Entanglement-Assisted Quantum Error-Correcting Codes When the Ebits of Receiver are not Perfect,'' accepted as an oral presentation at 13th Annual Workshop of Southwest Quantum Information and Technology (SQuInT 2011), 17-20 Feb 2011, Boulder, Colorado.

  2. Ching-Yi Lai, Todd A. Brun, and Mark M. Wilde, ``Dualities and Identities for Maximal-Entanglement Quantum Codes,'' accepted as a poster presentation at 14th Workshop on Quantum Information Processing (QIP2011), 10-14 Jan 2011, Singapore.

Other Publications

  1. ``A Construction of Quantum Stabilizer Codes," master thesis, National Tsing Hua University, Taiwan, 2006



Code Table: Bounds on the minimum distance of maxiaml-entanglement quantum codes ([[n,k,d;n-k]] EAQEC Codes)        
       
  n\k      1        2        3        4        5        6        7        8        9       10       11       12       13       14    
3 32
4 321
5 5322
6 54321
7 754322
8 7654321
9 965-654322
10 976654321
11 11876654322
12 1197-86-765-644321
13 131097-86-76544322
14 131097-96-86-76544321
15 15119-108-108-97-86-76544322
Last update: 03.08.2012
Please email me if you improve the table.



Tile operations of the Knill C4 code
  1. 1-exCNOT in a 4*4 tile
  2. 1-exCNOT in a 5*5 tile



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