344 research outputs found
Non-catastrophic Encoders and Encoder Inverses for Quantum Convolutional Codes
We present an algorithm to construct quantum circuits for encoding and
inverse encoding of quantum convolutional codes. We show that any quantum
convolutional code contains a subcode of finite index which has a
non-catastrophic encoding circuit. Our work generalizes the conditions for
non-catastrophic encoders derived in a paper by Ollivier and Tillich
(quant-ph/0401134) which are applicable only for a restricted class of quantum
convolutional codes. We also show that the encoders and their inverses
constructed by our method naturally can be applied online, i.e., qubits can be
sent and received with constant delay.Comment: 6 pages, 1 figure, submitted to 2006 IEEE International Symposium on
Information Theor
Optimal Haplotype Assembly from High-Throughput Mate-Pair Reads
Humans have pairs of homologous chromosomes. The homologous pairs are
almost identical pairs of chromosomes. For the most part, differences in
homologous chromosome occur at certain documented positions called single
nucleotide polymorphisms (SNPs). A haplotype of an individual is the pair of
sequences of SNPs on the two homologous chromosomes. In this paper, we study
the problem of inferring haplotypes of individuals from mate-pair reads of
their genome. We give a simple formula for the coverage needed for haplotype
assembly, under a generative model. The analysis here leverages connections of
this problem with decoding convolutional codes.Comment: 10 pages, 4 figures, Submitted to ISIT 201
Concatenation of convolutional and block codes Final report
Comparison of concatenated and sequential decoding systems and convolutional code structural propertie
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