Abstract:
:We obtain a general connection between a large quantum advantage in communication complexity and Bell nonlocality. We show that given any protocol offering a sufficiently large quantum advantage in communication complexity, there exists a way of obtaining measurement statistics that violate some Bell inequality. Our main tool is port-based teleportation. If the gap between quantum and classical communication complexity can grow arbitrarily large, the ratio of the quantum value to the classical value of the Bell quantity becomes unbounded with the increase in the number of inputs and outputs.
journal_name
Proc Natl Acad Sci U S Aauthors
Buhrman H,Czekaj Ł,Grudka A,Horodecki M,Horodecki P,Markiewicz M,Speelman F,Strelchuk Sdoi
10.1073/pnas.1507647113subject
Has Abstractpub_date
2016-03-22 00:00:00pages
3191-6issue
12eissn
0027-8424issn
1091-6490pii
1507647113journal_volume
113pub_type
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