dc.contributor
Universitat Politècnica de Catalunya. Institut de Ciències Fotòniques
dc.contributor
Acín dal Maschio, Antonio
dc.contributor
Senno, Gabriel
dc.contributor.author
Ravell Rodríguez, Ricard
dc.date.issued
2019-09-09
dc.identifier
https://hdl.handle.net/2117/169118
dc.identifier
ETSETB-230.143816
dc.description.abstract
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.
dc.format
application/pdf
dc.publisher
Universitat Politècnica de Catalunya
dc.rights
S'autoritza la difusió de l'obra mitjançant la llicència Creative Commons o similar 'Reconeixement-NoComercial- SenseObraDerivada'
dc.rights
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació
dc.subject
Quantum theory
dc.subject
quantum nonlocality
dc.subject
communication complexity
dc.subject
detection loophole.
dc.subject
Quàntums, Teoria dels
dc.title
The communication cost of simulating POVMs over maximally entangled qubits
