document: Quantum universal variable-length source coding We construct an optimal quantum universal variable-length code that achieves the admissible minimum rate , i.e. , our code is used for any probability distribution of quantum states . Its probability of exceeding the admissible minimum rate exponentially goes to 0 . Our code is optimal in the sense of its exponent . In addition , its average error asymptotically tends to 0
doc_bio_tags: O O O O O O O O O O O O O O O O B I I O O O O O O O O O B I O B I O O O O O O B I I O O O O O O O O O O O O O O B O O O O O B I O O O O
extractive_keyphrases: admissible minimum rate probability distribution quantum states exponent average error
abstractive_keyphrases: quantum universal variable-length source coding optimal quantum universal variable-length code quantum information theory quantum cryptography optimal code