- Quantum communication complexity advantage implies violation of a Bell inequality
- Proceedings of the National Academy of Sciences of the United States of America
- Volume | Issue number
- 113 | 12
- Pages (from-to)
- Number of pages
- Document type
- Interfacultary Research Institutes
- Institute for Logic, Language and Computation (ILLC)
We obtain a general connection between a large quantumadvantage 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 portbased 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.
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- With supporting information. - Correction published in PNAS May 24, 2016. 113 (21) E3050.
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