DocumentCode :
43514
Title :
Classification of q-Ary Perfect Quantum Codes
Author :
Zhuo Li ; Lijuan Xing
Author_Institution :
State Key Lab. of Integrated Services Networks, Xidian Univ., Xi´an, China
Volume :
59
Issue :
1
fYear :
2013
fDate :
Jan. 2013
Firstpage :
631
Lastpage :
634
Abstract :
We solve the problem of the classification of q-ary perfect quantum codes. We prove that the only nontrivial q-ary perfect quantum codes are those with the parameters (((q2l - 1)/(q2 - 1), qn - 2l,3))q. There exist no other nontrivial q -ary perfect quantum codes.
Keywords :
error correction codes; pattern classification; quantum communication; quantum theory; classification; nontrivial q-ary perfect quantum code; quantum error correcting code; quantum information; Educational institutions; Error correction; Error correction codes; Indexes; Polynomials; Quantum mechanics; Perfect quantum codes; quantum error-correcting codes; quantum information;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2012.2217475
Filename :
6303914
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=43514
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