Entanglement of the Non-Gaussian Two-Mode Quantum Vortex State

  • Vikram SinghEmail author
  • Devendra Kumar Mishra
Short Communication


We study the entanglement properties of a non-Gaussian two-mode vortex state that was theoretically proposed by Agarwal [New J Phys 13:073008 (2011)] by using the technique of photon subtraction from a two-mode squeezed state and detection of one photon by a single-photon detector. There are different conditions to quantify the entanglement of non-classical states. We compare the entanglement conditions for this state in terms of the Hillery–Zubairy (HZ) criterion, Hillery–Dung–Zhong (HDZ) criterion, Shchukin–Vogel (SV) criterion, and Duan–Giedke–Cirac–Zoller (DGCZ) criterion. We confirm that this non-Gaussian state shows strong entanglement under these different conditions, thus suggesting that this state may have potential applications in quantum information processing.


Non-Gaussian states Quantum vortex states Two-mode squeezed states Entanglement 



The authors acknowledge UGC, New Delhi, for financial support under Major Research Project (F. No. 41-950/2012(SR), dated July 26, 2012).


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Copyright information

© The National Academy of Sciences, India 2019

Authors and Affiliations

  1. 1.Physics DepartmentNehru Gram Bharati (Deemed to be University U/s-3 of UGC Act 1956)AllahabadIndia
  2. 2.Physics DepartmentInstitute of Science, Banaras Hindu UniversityVaranasiIndia

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