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quant-ph2003★ 10 cited
Chained Typical Subspaces - a Quantum Version of Breiman's Theorem
Igor Bjelakovic, Tyll Krueger, Rainer Siegmund-Schultze +1
We give an equivalent finitary reformulation of the classical Shannon-McMillan-Breiman theorem which has an immediate translation to the case of ergodic quantum lattice systems. Th…
quant-ph2003★ 2 cited
The Data Compression Theorem for Ergodic Quantum Information Sources
Igor Bjelakovic, Arleta Szkola
We extend the data compression theorem to the case of ergodic quantum information sources. Moreover, we provide an asymptotically optimal compression scheme which is based on the c…