69 citations · 74 across the 5 of their papers we have counts for
6 papers
Reading Multiple Regression from an Ellipsoid Inscribed in the Unit Hypercube
Toshiyuki Shimono
Consider the linear regression of a response on explanatory variables with a positive definite joint correlation matrix. Let be the correlation mat…
Analysis of the Entanglement Cost and Calculation of the Holevo Capacity
Toshiyuki Shimono
``Beam me over,'' Alice: A cricket's quantum journey This thesis addresses two known quantities in quantum information science: (1) entanglement cost, and (2) Holevo capacity. Thes…
Qubit Channels Which Require Four Inputs to Achieve Capacity: Implications for Additivity Conjectures
Masahito Hayashi, Hiroshi Imai, Keiji Matsumoto +2
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 c…
Additivity of Entanglement of Formation of Two Three-level-antisymmetric States
Toshiyuki Shimono
Quantum entanglement is the quantum information processing resource. Thus it is of importance to understand how much of entanglement particular quantum states have, and what kinds…
Remarks on additivity of the Holevo channel capacity and of the entanglement of formation
Keiji Matsumoto, Toshiyuki Shimono, Andreas Winter
The purpose of these notes is to discuss the relation between the additivity questions regarding the quantities (Holevo) capacity of a quantum channel T and entanglement of formati…
Lower Bound for entanglement cost of antisymmetric states
Toshiyuki Shimono
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, E_c >= 0.585...). The paper quant-ph…