منابع مشابه
Stationary quantum source coding
In this paper the quantum version of the source coding theorem is obtained for a completely ergodic source. This result extends Schumacher’s quantum noiseless coding theorem for memoryless sources. The control of the memory effects requires some earlier results of Hiai and Petz on high probability subspaces. Our result is equivalently considered as a compression theorem for noiseless stationary...
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~ The source coding theorem and its converse imply that the optimal performance theoretically achievable by a Axedor variable-rate block quantizer on a stationary ergodic source equals the distortion-rate function. While a Axed-rate block code cannot achieve arbitrarily closely the distortionrate function on an arbitrary stationary nonergodic source, we show for the case of Polish alphabets tha...
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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.
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2001
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.1398335