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Abstract: We develop a theory of entanglement distillation that exploits aconvolutional coding structure. We provide a method for converting an arbitraryclassical binary or quaternary convolutional code into a convolutionalentanglement distillation protocol. The imported classical convolutional codedoes not have to be dual-containing or self-orthogonal. The yield anderror-correcting properties of such a protocol depend respectively on the rateand error-correcting properties of the imported classical convolutional code. Aconvolutional entanglement distillation protocol has several other benefits.Two parties sharing noisy ebits can distill noiseless ebits ``online- as theyacquire more noisy ebits. Distillation yield is high and decoding complexity issimple for a convolutional entanglement distillation protocol. Our theory ofconvolutional entanglement distillation reduces the problem of finding a goodconvolutional entanglement distillation protocol to the well-establishedproblem of finding a good classical convolutional code.

Author: Mark M. Wilde, Hari Krovi, Todd A. Brun



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