Bosonic algebras and their inhomogeneous invariance quantum groups

Constructing quantum logic gates using q-deformed harmonic oscillator algebras

“…Woronowicz's approach [2] involves non-commutative co-multiplication and in Manin's approach [3] one can construct a quantum group by making linear transformations on quantum plane. Recently Manin's approach is used to find inhomogeneous invariance quantum groups of various particle algebras [4,5,6,7,8,9,10,11,12,13].…”