2026-05-17T03:16:49Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/116142026-05-14T06:37:12Zcom_10259.4_2557com_10259_5086com_10259_2604col_10259.4_2558

Ballesteros Castañeda, Ángel 46 600 0000-0003-4085-3094 Relancio Martínez, José Javier 822 600 0000-0003-1130-3982 Santamaría Sanz, Lucía 947 600 0000-0003-4215-5011 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. 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. 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 application/pdf eng Springer Quantum Information Processing. 2026, V. 25, n. 1, 12 https://doi.org/10.1007/s11128-025-05030-y Atribución 4.0 Internacional http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess Quantum groups Hopf algebras q-Dicke states; h-Dicke states Uh(sl(2, R)) algebra Física Matemáticas Physics Mathematics Non-standard quantum algebra Uh(sl(2, R)) and h-Dicke states info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Quantum Information Processing 25 1 https://ror.org/051jb1k20 Consorcio de Bibliotecas Universitarias de Castilla y León (BUCLE) hybrid-oa 1 2349,58 EUR Springer Nature 2025-01-01 2027-12-31 10.1007/s11128-025-05030-y THUMBNAIL Ballesteros-qip_2026.pdf.jpg Ballesteros-qip_2026.pdf.jpg IM Thumbnail image/jpeg 4272 https://riubu.ubu.es/bitstream/10259/11614/4/Ballesteros-qip_2026.pdf.jpg 786529fbd319b2901af700f4bdde1c6a MD5 4 LICENSE license.txt license.txt text/plain; charset=utf-8 998 https://riubu.ubu.es/bitstream/10259/11614/3/license.txt aa90105e1c90a1b4fe810649aa967b7d MD5 3 CC-LICENSE license_rdf license_rdf application/rdf+xml; charset=utf-8 908 https://riubu.ubu.es/bitstream/10259/11614/2/license_rdf 0175ea4a2d4caec4bbcc37e300941108 MD5 2 ORIGINAL Ballesteros-qip_2026.pdf Ballesteros-qip_2026.pdf application/pdf 664072 https://riubu.ubu.es/bitstream/10259/11614/1/Ballesteros-qip_2026.pdf 11664d1e16099d889eaa75d1415479bf MD5 1 10259/11614 oai:riubu.ubu.es:10259/11614 2026-05-14 08:37:12.713 Repositorio Institucional de la Universidad de Burgos bubrep@ubu.es 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