2026-06-01T08:39:00Zhttps://riubu.ubu.es/oai/requestoai:riubu.ubu.es:10259/116142026-05-14T06:37:12Zcom_10259.4_2557com_10259_5086com_10259_2604col_10259.4_2558
Repositorio Institucional de la Universidad de Burgos
author
Ballesteros Castañeda, Ángel
author
Relancio Martínez, José Javier
author
Santamaría Sanz, Lucía
2026-05-13T08:49:25Z
2026-05-13T08:49:25Z
2026-01
https://hdl.handle.net/10259/11614
10.1007/s11128-025-05030-y
1573-1332
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.
eng
Atribución 4.0 Internacional
Quantum groups
Hopf algebras
q-Dicke states; h-Dicke states
Uh(sl(2, R)) algebra
Non-standard quantum algebra Uh(sl(2, R)) and h-Dicke states
info:eu-repo/semantics/article
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URL
https://riubu.ubu.es/bitstream/10259/11614/1/Ballesteros-qip_2026.pdf
File
MD5
11664d1e16099d889eaa75d1415479bf
664072
application/pdf
Ballesteros-qip_2026.pdf