The communication cost of simulating POVMs over maximally entangled qubits
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Inclou dades d'ús des de 2022
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hdl:2117/169118
Tipus de documentProjecte Final de Màster Oficial
Data2019-09-09
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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.
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Fitxers | Descripció | Mida | Format | Visualitza |
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RicardRavell_TFM.pdf | 487,8Kb | Visualitza/Obre |