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The purpose of these notes is to discuss the relation between the addi-tivity questions regarding the quantities (Holevo) capacity of a quantum channel T and entanglement of formation of a bipartite state ρ. In particular , using the Stinespring dilation theorem, we give a formula for the channel capacity involving entanglement of formation. This can be… (More)

- Masahito Hayashi, Hiroshi Imai, Keiji Matsumoto, Mary Beth Ruskai, Toshiyuki Shimono
- Quantum Information & Computation
- 2005

An example is given of a qubit quantum channel which requires four inputs to maximize the Holevo capacity. The example is one of a family of channels which are related to 3-state channels. The capacity of the product channel is studied and numerical evidence presented which strongly suggests additivity. The numerical evidence also supports a conjecture… (More)

This report gives a lower bound of entanglement cost for antisymmetric states of bipartite d-level systems to be log 2 d d−1 ebit (for d = 3, Ec ≥ 0.585. . .). The paper [1] claims that the value is equal to one ebit for d = 3 , since all of the eigenvalues of reduced matrix of any pure states affiliating to H ⊗N − is not greater than 2 −N thus the von… (More)

- Toshiyuki Shimono
- 2016 IEEE International Conference on Big Data…
- 2016

Despite the existence of data analysis tools such as R, SQL, Excel and others, it is still insufficient to cope with today's big data analysis needs. The author proposes a CUI (Character User Interface) toolset with dozens of functions to neatly handle tabular data in TSV (Tab Separated Values) files. It implements many basic and useful functions that have… (More)

- Toshiyuki Shimono
- UMC
- 2002

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