113,243 research outputs found
Graph state basis for Pauli Channels
We introduce graph state basis diagonalization to calculate the coherent
information of a quantum code passing through a Pauli channel. The scheme is
5000 times faster than the best known one for some concatenated repetition
codes, providing us a practical constructive way of approaching the quantum
capacity of a Pauli channel. The calculation of the coherent information of
non-additive quantum code can also be greatly simplified in graph state basis.Comment: 5 page
Lipschitz equivalence of a class of self-similar sets
We consider a class of homogeneous self-similar sets with complete overlaps
and give a sufficient condition for the Lipschitz equivalence between members
in this class.Comment: A remark was added. To appear in Ann. Acad. Sci. Fenn. Mat
Simultaneous amplification and non-symmetric amplitude damping of two-mode Gaussian state
The evolution of two-mode Gaussian state under symmetric amplification,
non-symmetric damping and thermal noise is studied. The time dependent solution
of the state characteristic function is obtained. The separability criterions
are given for the final state of weak amplification as well as strong
amplification.Comment: 6 pages, 2 figure
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