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Decoding of Matrix-Product Codes
Linear Codes Matrix-Product Codes Decoding Algorithm Minimum Distance
2011/8/30
Abstract: We propose a decoding algorithm for the $(u\mid u+v)$-construction that decodes up to half of the minimum distance of the linear code. We extend this algorithm for a class of matrix-product ...
Exact solution for a quantum nonequilibrium steady state exhibiting phase transition and a matrix product representation
quantum nonequilibrium steady state matrix product representation
2010/11/18
We study a 1-dimensional XX chain under nonequilibrium driving and local dephasing described
by the Lindblad master equation. Analytical solution for the nonequilibrium steady state found for particu...
Matrix Product States: Symmetries and Two-Body Hamiltonians
Matrix Product States Symmetries Two-Body Hamiltonians
2010/4/13
We characterize the conditions under which a translationally invariant matrix product state (MPS) is invariant under local transformations. This allows us to relate the symmetry group of a given state...
This is a short comment on the Moyal formula for deformation quantization. It is shown that the Moyal algebra of functions on the plane is canonically isomorphic to an algebra of matrices of infinite ...