Beyond i.i.d. in Quantum Information Theory
arXiv:quant-ph/0604013
Abstract
The information spectrum approach gives general formulae for optimal rates of codes in many areas of information theory. In this paper the quantum spectral divergence rates are defined and properties of the rates are derived. The entropic rates, conditional entropic rates, and spectral mutual information rates are then defined in terms of the spectral divergence rates. Properties including subadditivity, chain rules, Araki-Lieb inequalities, and monotonicity are then explored.
6 Pages, requires IEEEtran.cls, updated and corrected proofs
Cited by in corpus (5)
- Strong converse exponent for classical-quantum channel coding
- Distilling entanglement from arbitrary resources
- The apex of the family tree of protocols: Optimal rates and resource inequalities
- One-shot rates for entanglement manipulation under non-entangling maps
- Asymptotic entanglement manipulation of bipartite pure states