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Nonexistence of some quantum jump codes with specified parameters.
- Source :
- Designs, Codes & Cryptography; Oct2014, Vol. 73 Issue 1, p223-235, 13p
- Publication Year :
- 2014
-
Abstract
- Quantum jump codes (JC) are quantum codes which correct errors caused by quantum jumps. A spontaneous emission error design (SEED) has been introduced to construct quantum JC. In this paper the nonexistence of some $$(n,m,t)_k$$ -JCs is proved, where $$m={n-t\atopwithdelims ()k-t},\, k\ge t+1,\, \text{ and }\, (n,t,k)=(2k+1,1,k), (2k,2,k),(7,2,3),(8,3,4)$$ . It is also shown that, for these parameters with $$t=1,2$$ , the existence of an $$(n,m,t)_k$$ -JC is equivalent to that of a $$t-(n,k;m)$$ -SEED. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09251022
- Volume :
- 73
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Designs, Codes & Cryptography
- Publication Type :
- Academic Journal
- Accession number :
- 96839741
- Full Text :
- https://doi.org/10.1007/s10623-013-9814-7