3 papers
math.CO2024
On the Hopf superalgebra of symmetric functions in superspace
Masamune Hattori, Renta Yagi, Shintarou Yanagida
We introduce a superspace analogue of combinatorial Hopf algebras (Aguiar-Bergeron-Sottile, 2006), and show that the Hopf superalgebra of quasi-symmetric (resp. symmetric) function…
math.QA2024
Examples of solvable and nilpotent finite quantum groups
Gerard Glowacki, Masamune Hattori, Masato Tanaka
We prove the solvability and nilpotency of Kac--Paljutkin's finite quantum group and Sekine quantum groups and we classify the solvable series of Kac--Paljutkin's finite quantum gr…
quant-ph2022
Satellite-based continuous-variable quantum key distribution under the Earth's gravitational field
Tonghua Liu, Shuo Cao, Sixuan Zhang +2
Long distance communication protocols cannot ignore the existence of the Earth's gravitational field and its effects on quantum states. In this work, we show a very general method…