Publications Repository - Gdańsk University of Technology

We obtain a general connection between a quantum advantage in communication complexity and non-locality. We show that given any protocol offering a (sufficiently large) quantum advantage in communication complexity, there exists a way of obtaining measurement statistics which 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.

Authors

• Harry Buhrman,
• dr inż. Łukasz Czekaj link open in new tab ,
• Andrzej Grudka,
• Michał Horodecki,
• prof. dr hab. Paweł Horodecki link open in new tab ,
• Marcin Markiewicz,
• Florian Speelman,
• Sergii Strelchuk