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We prove that nonbinary quantum stabilizer codes with parameters [[n, k, d]]p = [[6, 2, 3]]p and [[7, 3, 3]]p exist for all odd primes p by using graph machinery, given by Schlingemann and Werner(see Phys. Rev. A, vol.65, no.012308, 2001), with a little number theory and combinatorics.
Published in:
Information Theory, IEEE Transactions on
(Volume:48
,
Issue:
8
)
Date of Publication: Aug 2002
- Page(s):
- 2384 - 2391
- ISSN :
- 0018-9448
- INSPEC Accession Number:
- 7345264
- Digital Object Identifier :
- 10.1109/TIT.2002.800469
- Product Type:
- Journals & Magazines
- Date of Current Version :
- 07 August 2002
- Issue Date :
- Aug 2002
- Sponsored by :
- IEEE Information Theory Society
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