Sufficient condition for nonexistence of symmetric extension of qudits using Bell inequalities

@inproceedings{Kumari2017SufficientCF,
  title={Sufficient condition for nonexistence of symmetric extension of qudits using Bell inequalities},
  author={Meenu Kumari and Shohini Ghose and Robert B. Mann},
  year={2017}
}
We analyze the connection between Bell inequality violations and symmetric extendibility of quantum states. We prove that 2-qubit reduced states of multiqubit symmetric pure states do not violate the Bell Clauser-Horne-Shimony-Holt (CHSH) inequality. We then prove the more general converse that any 2-qubit state that violates the CHSH inequality cannot have a symmetric extension. We extend our analysis to qudits and provide a test for symmetric extendibility of 2-qudit states. We show that if a… CONTINUE READING

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Publications referenced by this paper.
SHOWING 1-10 OF 18 REFERENCES

Phys

M. Navascués, M. Owari, M. B. Plenio
  • Rev. A 80, 052306
  • 2009
VIEW 10 EXCERPTS
HIGHLY INFLUENTIAL

Phys

J. Chen, Z. Ji, D. Kribs, N. Lütkenhaus, B. Zeng
  • Rev. A 90, 032318
  • 2014

Science 344

J. Tura, R. Augusiak, +3 authors A. Aćın
  • 1256
  • 2014
VIEW 1 EXCERPT

Phys

P. D. Johnson, L. Viola
  • Rev. A 88, 032323
  • 2013

Phys

F.G.S.L. Brandão, M. Christandl
  • Rev. Lett. 109, 160502
  • 2012

Journal of Physics A: Mathematical and Theoretical 42

K. S. Ranade
  • 425302
  • 2009

Phys

G. O. Myhr, N. Lütkenhaus
  • Rev. A 79, 062307
  • 2009

Phys

K. S. Ranade
  • Rev. A 80, 022301
  • 2009

Proc

B. Toner
  • R. Soc. London, Ser. A 465, 59
  • 2009
VIEW 2 EXCERPTS