Publications (5)
Two-Parameter Quantum Groups and -Matrices: Classical Types
Ian Martin, Alexander Tsymbaliuk
We construct finite -matrices for the first fundamental representation of two-parameter quantum groups for classical , both through the…
QuFoundry: Generating Data with Quantum Properties for Quantum Machine Learning Utility
Jason Ludmir, Ian Martin, Nicholas S. DiBrita +1
Quantum machine learning (QML) promises significant speedups, particularly when operating on quantum datasets. However, its progress is hindered by the scarcity of suitable trainin…
Bicharacter twists of quantum groups
Ian Martin, Alexander Tsymbaliuk
We apply the general construction of a twist of bigraded Hopf algebras by skew bicharacters to obtain two-parameter quantum groups in the Drinfeld-Jimbo, new Drinfeld (for affine t…
Orthogonal bases for two-parameter quantum groups
Ian Martin, Alexander Tsymbaliuk
In this note, we construct dual PBW bases of the positive and negative subalgebras of the two-parameter quantum groups in classical types, as used in our ea…
3G R&D: R&D for the Next Generation of Ground-based Gravitational-wave Detectors
David McClelland, Harald Lueck, Rana Adhikari +43
To deliver on the promise of next generation gravitational-wave observatories, a sustained and coordinated detector research and development program is required. This report examin…