Abstract
Entanglement is a key ingredient for performing information processing protocols. On the other hand, it is known that there may exist non-locality without entanglement. Distinguishing a set of unknown states by local operation and classical communication (LOCC) can be recast as a manifestation of non-locality. Motivated by this fact, we have explored a novel relation between entanglement and LOCC distinguishability of an ensemble of entangled states. We have shown explicitly that an ensemble of LOCC distinguished states is more efficient for quantum information processing protocol than those states which cannot be discriminated deterministically by LOCC.
Similar content being viewed by others
References
A Einstein, B Podolsky and N Rosen, Phys. Rev. 47, 777 (1935)
C H Bennett, D P Di Vincenzo, C A Fuchs, T Mor, E Rains, P W Shor, J A Smolin and W K Wootters, Phys. Rev. A 59, 1070 (1999)
M Horodecki, A Sen(De), U Sen and K Horodecki, Phys. Rev. Lett. 90, 047902 (2003)
A Chefles, Phys. Rev. A 69, 050307(R) (2004)
S Ghosh, G Kar, A Roy, A Sen(De) and U Sen, Phys. Rev. Lett. 87, 277902 (2001)
M Hayashi, D Markham, M Murao, M Owari and S Virmani, Phys. Rev. Lett. 96, 040501 (2006)
J Walgate, A J Short, L Hardy and V Vedral, Phys. Rev. Lett. 85, 4972 (2000)
G Jaeger and A Shimony, Phys. Lett. A 197, 83 (1995)
S Virmani, M F Sacchi, M B Plenio and D Markhama, Phys. Lett. A 288, 62 (2001)
S Bandyopadhyay, Phys. Rev. A 85, 042319 (2012)
P-X Chen and C-Z Li, Phys. Rev. A 68, 062107 (2003)
A Das et al, Eur. Phys. J. D 74, 91 (2020)
A K Ekert, Phys. Rev. Lett. 67, 661 (1991)
B Krauss, Phys. Rev. A 82, 032121 (2010)
M Epping, H Kampermann, C Macchiavello and D Bruß, New J. Phys. 19, 093012 (2017)
W Wootters, Phys. Rev. Lett. 80, 2245 (1998)
J Walgate and L Hardy, Phys. Rev. Lett. 89, 147901 (2002)
Acknowledgements
The authors would like to thank Prof. Pankaj Agrawal for valuable discussions and comments which helped a lot to develop this work.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Nandi, S. Catalysing quantum information processing task using LOCC distinguishability. Pramana - J Phys 95, 155 (2021). https://doi.org/10.1007/s12043-021-02194-x
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12043-021-02194-x
Keywords
- Local operation and classical communication distinguishability
- controlled quantum key distribution
- non-locality without entanglement