ON OPTIMAL QUANTUM CODES
2004 ◽
Vol 02
(01)
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pp. 55-64
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Keyword(s):
We present families of quantum error-correcting codes which are optimal in the sense that the minimum distance is maximal. These maximum distance separable (MDS) codes are defined over q-dimensional quantum systems, where q is an arbitrary prime power. It is shown that codes with parameters 〚n, n - 2d + 2, d〛q exist for all 3≤n≤q and 1≤d≤n/2+1. We also present quantum MDS codes with parameters 〚q2, q2-2d+2, d〛q for 1≤d≤q which additionally give rise to shortened codes 〚q2-s, q2-2d+2-s, d〛q for some s.
2019 ◽
Vol 17
(03)
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pp. 1950022
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Keyword(s):
2013 ◽
Vol 11
(03)
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pp. 1350027
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2017 ◽
Vol 31
(06)
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pp. 1750034
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Keyword(s):
2003 ◽
Vol 14
(05)
◽
pp. 757-775
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Keyword(s):
2017 ◽
Vol 15
(01)
◽
pp. 1750008
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Keyword(s):
2014 ◽
Vol 12
(04)
◽
pp. 1450019
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Keyword(s):