New Quantum Codes From Css Code Deepai

New Quantum Codes From Css Code Deepai We present a new propagation rule for css codes. starting with a css code [ [n,k,d]] q, we construct a css code with parameters [ [n 2,k,d 1]] q. in general, one would only obtain a code with parameters [ [n 2,k,d 2]] q. the construction applies to asymmetric quantum codes from the css construction as well. read full text. Section 4 describes constructions involving classical codes to build new quantum css codes. in section 5, a new decoding procedure is presented and applied to the classical reed muller and bch codes.

Graphical Css Code Transformation Using Zx Calculus Deepai We present a new propagation rule for css codes. We present a new propagation rule for css codes. starting with a css code [[n, k, d]] q [[n,k,d]]q, we construct a css code with parameters [[n 2, k, d 1]] q [[n− 2,k,d−1]]q. When starting with a quantum mds css code, i.e., a code that meets the bound with equality, reducing the length by one and preserving the dimension imply that one of the minimum distance has to be reduced by one as well. We present a new propagation rule for css codes. starting with a css code [ [n_{,k ,d ] ] q< sub>, we construct a css code with parameters [ [n 2 ,k ,d 1 ] ] q< sub>.}

Pdf New Quantum Codes From Css Codes When starting with a quantum mds css code, i.e., a code that meets the bound with equality, reducing the length by one and preserving the dimension imply that one of the minimum distance has to be reduced by one as well. We present a new propagation rule for css codes. starting with a css code [ [n_{,k ,d ] ] q< sub>, we construct a css code with parameters [ [n 2 ,k ,d 1 ] ] q< sub>. We present a new propagation rule for css codes. starting with a css code [ [n,k,d]]q, we construct a css code with parameters [ [n 2,k,d 1]]q. in general, one would only obtain a code with parameters [ [n 2,k,d 2]]q. the construction applies to asymmetric quantum codes from the css construction as well. We remark that these conditions for the non triviality of a quantum error correcting code seem to be a uniquely quantum phenomenon. in the classical world, any non trivial subspace s ⊂ fn of parity checks with dimension l < n defines a classical code of non zero dimension 2 n − l. This work presents new constructions of binary quantum codes from quaternary linear hermitian self dual codes, and gives minimum distance lower bounds for these quantum codes in terms of the minimum distance of their ingredient linear codes. The python module contains a number of useful methods, applicable to the simulation of quantum css error correcting codes. the central method of interest in this file is the method "css code".}