2026-04-18T06:06:38Zhttps://recercat.cat/oai/request

oai:recercat.cat:2117/1691182025-07-23T07:02:42Zcom_2072_1033col_2072_452951

urn:hdl:2117/169118 The communication cost of simulating POVMs over maximally entangled qubits Ravell Rodríguez, Ricard Àrees temàtiques de la UPC::Enginyeria de la telecomunicació Detectors Quantum theory Bell theorem quantum nonlocality communication complexity detection loophole. Detectors Quàntums, Teoria dels In [Toner and Bacon, Phys. Rev. Lett. 91, 187904 (2003)], $1$ bit of communication was proven to be enough to simulate the statistics of local projective measurements over the maximally entangled state. Ever since then, the question of whether $1$ bit is also enough for the case of generalized measurements has been open. In this thesis, we retort to inefficiency-resistant Bell functionals, a powerful technique to prove lower bounds communication complexity, to numerically study this question. The results obtained suggest that, indeed, as is the case with projective measurements, $1$ bit of communication suffices to simulate POVMs over maximally entangled qubits. 2019-09-09 Master thesis S'autoritza la difusió de l'obra mitjançant la llicència Creative Commons o similar 'Reconeixement-NoComercial- SenseObraDerivada' http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Open Access Universitat Politècnica de Catalunya