394 citations · 7.2k across the 232 of their papers we have counts for
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Limiting behavior of relative Rényi entropy in a non-regular location shift family
Masahito Hayashi
We calculate the limiting behavior of relative Renyi entropy when the first probability distribution is close to the second one in a non-regular location-shift family which is gene…
Two non-regular extensions of the large deviation bound
Masahito Hayashi
We formulate two types of extension of the large deviation theory initiated by Bahadur in a non-regular setting. One can be regarded as a bound of the point estimation, the other c…
Universal distortion-free entanglement concentration
Masahito Hayashi, Keiji Matsumoto
Entanglement concentration from many copies of unknown pure states is discussed, and we propose the protocol which not only achieves entropy rate, but also produces the perfect max…
Simple construction of quantum universal variable-length source coding
Masahito Hayashi, Keiji Matsumoto
We simply construct a quantum universal variable-length source code in which, independent of information source, both of the average error and the probability that the coding rate…
Optimal sequence of quantum measurements in the sense of Stein's lemma in quantum hypothesis testing
Masahito Hayashi
We derive a necessary and sufficient condition for a sequence of quantum measurements to achieve the optimal performance in quantum hypothesis testing. Using an information-spectru…
General formulas for fixed-length quantum entanglement concentration
Masahito Hayashi
General formulas of entanglement concentration are derived by using an information-spectrum approach for the i.i.d. sequences and the general sequences of partially entangled pure…