RT info:eu-repo/semantics/article
T1 Non-standard quantum algebra Uh(sl(2, R)) and h-Dicke states
A1 Ballesteros Castañeda, Ángel
A1 Relancio Martínez, José Javier
A1 Santamaría Sanz, Lucía
K1 Quantum groups
K1 Hopf algebras
K1 q-Dicke states; h-Dicke states
K1 Uh(sl(2, R)) algebra
K1 Física
K1 Physics
K1 Matemáticas
K1 Mathematics
AB We discuss the application of the Jordanian quantum algebra , a Hopf algebra deformation of the Lie algebra , in order to generate sets of N qubit quantum states. We construct the associated h-deformed Dicke states using the Clebsch–Gordan coefficients for , showing that the former exhibit completely different features than the q-Dicke states obtained from the standard quantum deformation . Moreover, the density matrices of these h-deformed Dicke states are compared to the experimental realizations of those of Dicke states, and several similarities are observed, indicating that the h-deformation could be used to describe noise and decoherence effects in experimental settings, as well as to control the degree of entanglement of the state in quantum computing protocols. In particular, h-Dicke states for are presented, a method to construct the h-deformed analogs of W-states for arbitrary N is given, and some algebraic considerations for the explicit derivation of generic h-Dicke states are provided.
PB Springer
YR 2026
FD 2026-01
LK https://hdl.handle.net/10259/11614
UL https://hdl.handle.net/10259/11614
LA eng
NO Open access funding provided by FEDER European Funds and the Junta de Castilla y León under the Research and Innovation Strategy for Smart Specialization (RIS3) of Castilla y León 2021-2027.
DS Repositorio Institucional de la Universidad de Burgos
RD 17-may-2026