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math-ph2021
Additivity violation of quantum channels via strong convergence to semi-circular and circular elements
Motohisa Fukuda, Takahiro Hasebe, Shinya Sato
Additivity violation of minimum output entropy, which shows non-classical properties in quantum communication, had been proved in most cases for random quantum channels defined by…
math-ph2008
White noise analysis on manifolds and the energy representation of a gauge group
Takahiro Hasebe
The energy representation of a gauge group on a Riemannian manifold has been discussed by several authors. Y. Shimada has shown the irreducibility for compact Riemannian manifold,…
math-ph2007★ 2 cited
No Zero Divisor for Wick Product in }
Takahiro Hasebe, Izumi Ojima, Hayato Saigo
In White Noise Analysis (WNA), various random quantities are analyzed as elements of , the space of Hida distributions ([1]). Hida distributions are generalized functio…