Bass’ Nilpotent Unitary K1-Group of Unitary Ring
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-019-04363-1
Abstract: Bass’ nilpotent unitary K1-group of the unitary ring is introduced and studied. A set of unitary representatives of this group is found and a complete description of its unipotent representatives is given. read more here.
Keywords: bass nilpotent; group; group unitary; nilpotent unitary ... See more keywords
Preservers of unitary group or equivalence by unitaries
Sign Up to like & getrecommendations! Published in 2022 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2021.09.018
Abstract: Abstract We give the complete description of bijective real-linear transformations on B ( H ) , the algebra of all bounded linear operators on an infinite-dimensional complex Hilbert space H , where every unitary U… read more here.
Keywords: equivalence unitaries; equivalence; preservers unitary; group equivalence ... See more keywords
Unitary group approach to describe interatomic potentials in 3D systems
Sign Up to like & getrecommendations! Published in 2019 at "Molecular Physics"
DOI: 10.1080/00268976.2019.1662959
Abstract: ABSTRACT An algebraic approach based on the unitary algebra is proposed to describe 3D systems for effective potentials. Our approach is based on the 3D vibron model where the addition of a scalar boson is… read more here.
Keywords: approach based; group approach; approach describe; describe interatomic ... See more keywords
On the explicit constructions of certain unitary t-designs
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ab5009
Abstract: Unitary $t$-designs are `good' finite subsets of the unitary group $U(d)$ that approximate the whole unitary group $U(d)$ well. Unitary $t$-designs have been applied in randomized benchmarking, tomography, quantum cryptography and many other areas of… read more here.
Keywords: group; exact unitary; designs unitary; explicit constructions ... See more keywords