Quantum Information in Spain ICE-8

On the applications of functional quantum abstract detecting systems

Not scheduled

20m

Looby Library of Mathematics

Poster Poster Session 1

Speaker

Dr Elías Combarro (University of Oviedo)

Description

Quantum abstract detecting systems (QADS) provide a common framework to address detection problems in quantum computers [1]. A particular QADS family, that of combinatorial QADS [2], has been proved to be useful for decision problems on eigenvalues or phase estimation methods. In this work, we consider functional QADS, which not only have interesting theoretical properties (intrinsic detection ability, relation to the QFT...), but also yield improved decision and phase estimation methods, as compared to combinatorial QADS.

[1] Combarro, Elías F., José Ranilla, and Ignacio F. Rúa. "Quantum abstract detecting systems." Quantum Information Processing 19 (2020): 1-25.

[2] Hernández Cáceres, J. M., Elías F. Combarro, and Ignacio F. Rúa. "Combinatorial and rotational quantum abstract detecting systems." Quantum Information Processing 21.2 (2022): 66.