R.J. McEliece, E.R. Rodemich, H.C. Rumsey, Jr and L.R. Welch IEEE Trans.Info.Theory, 23, 157, 1977. Home/Search Document Not in Database Summary Related Articles |
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Quantum analog of the MacWilliams identities in classical coding.. - Shor (1997) (10 citations) (Correct)
....of codes is the use of MacWilliams identities [17] They relate the weight distribution of a code to the weight distribution of its dual code. These relationships can be used with linear programming to find bounds on how good quantum codes can be and to test whether potential good codes can exist [18]. In this letter we give a quantum analog to the weight distributions which obey the (classical) MacWilliams identities. These identities are a consequence of the relationship between two different traces of two arbitrary operators O 1 and O 2 . When these operators are such that O 1 = O 2 = ae ....
R.J. McEliece, E.R. Rodemich, H.C. Rumsey, Jr and L.R. Welch IEEE Trans.Info.Theory, 23, 157, 1977.
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