Quantum communication complexity advantage implies violation of a Bell inequality.

@article{Buhrman2016QuantumCC,
  title={Quantum communication complexity advantage implies violation of a Bell inequality.},
  author={Harry Buhrman and Łukasz Czekaj and Andrzej Grudka and Micha l Horodecki and Paweł Horodecki and M. Markiewicz and Florian Speelman and Sergii Strelchuk},
  journal={Proceedings of the National Academy of Sciences of the United States of America},
  year={2016},
  volume={113 12},
  pages={
          3191-6
        }
}
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… CONTINUE READING

Topics from this paper.

Citations

Publications citing this paper.
SHOWING 1-10 OF 10 CITATIONS

References

Publications referenced by this paper.
SHOWING 1-10 OF 16 REFERENCES

R

  • H. Buhrman, O. Regev, G. Scarpa
  • de Wolf, lations, IEEE Conference on…
  • 2011
Highly Influential
4 Excerpts

Phys

  • R. Cleve, H. Buhrman
  • Rev. A 56, 1201
  • 1997
Highly Influential
4 Excerpts

Proc

  • O. Regev, B. Klartag
  • of STOC ’11 the 43rd annual ACM symposium on…
  • 2011
2 Excerpts

Comm

  • M. Junge, C. Palazuelos, D. Perez-Garcia, I. Villanueva, M. M. Wolf
  • Math. Phys. 300, 715
  • 2010
1 Excerpt

R

  • H. Buhrman, R. Cleve, S. Massar
  • de Wolf; Rev. Mod. Phys. 82, 665698
  • 2010

Phys

  • C. Brukner, M. Zukowski, J.-W. Pan, A. Zeilinger
  • Rev. Lett. 92, 127901
  • 2004

W

  • H. Buhrman, R. Cleve
  • van Dam SIAM J.Comput. 30
  • 2001
1 Excerpt

In Proc

  • R. Raz
  • of 31st Annual ACM Symposium on the Theory of…
  • 1999
2 Excerpts

Similar Papers

Loading similar papers…