Lossless quantum prefix compression for communication channels that are always open

Article


Müller, M., Rogers, C. and Nagarajan, R. 2009. Lossless quantum prefix compression for communication channels that are always open. Physical Review A. 79 (1). https://doi.org/10.1103/PhysRevA.79.012302
TypeArticle
TitleLossless quantum prefix compression for communication channels that are always open
AuthorsMüller, M., Rogers, C. and Nagarajan, R.
Abstract

We describe a method for lossless quantum compression if the output of the information source is not known. We compute the best possible compression rate, minimizing the expected base length of the output quantum bit string (the base length of a quantum string is the maximal length in the superposition). This complements work by Schumacher and Westmoreland who calculated the corresponding rate for minimizing the output’s average length. Our compressed code words are prefix-free indeterminate-length quantum bit strings which can be concatenated in the case of multiple sources. Therefore, we generalize the known theory of prefix-free quantum codes to the case where strings have indeterminate length. Moreover, we describe a communication model which allows the lossless transmission of the compressed code words. The benefit of compression is then the reduction of transmission errors in the presence of noise.

Research GroupFoundations of Computing group
LanguageEnglish
PublisherAmerican Physical Society
JournalPhysical Review A
ISSN1050-2947
Publication dates
Print2009
Publication process dates
Deposited10 Jul 2013
Output statusPublished
Digital Object Identifier (DOI)https://doi.org/10.1103/PhysRevA.79.012302
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