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

National Academy Science Letters - Tập 43 - Trang 77-80 - 2019
Vikram Singh1, Devendra Kumar Mishra2
1Physics Department, Nehru Gram Bharati (Deemed to be University U/s-3 of UGC Act 1956), Allahabad, India
2Physics Department, Institute of Science, Banaras Hindu University, Varanasi, India

Tóm tắt

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.

Tài liệu tham khảo

Nielsen MA, Chuang IL (2000) Quantum computation and quantum information. Cambridge University Press, Cambridge Gerry CC, Knight PL (2005) Introductory quantum optics. Cambridge University Press, Cambridge Agarwal GS (2011) Engineering non-Gaussian entangled states with vortices by photon subtraction. New J Phys 13:073008 Ra Y-S et al (2017) Tomography of a mode-tunable coherent single-photon subtractor. Phys Rev X 7:031012 Ourjoumtsev A, Tualle- Brouri R, Laurat J, Grangier P (2006) Generating optical Schrödinger kittens for quantum information processing. Science 312:83 Hillery M, Zubairy MS (2006) Entanglement conditions for two-mode states. Phys Rev Lett 96:050503 Hillery M (1989) Sum and difference squeezing of the electromagnetic field. Phys Rev A 40:3147 Hillery M, Dung HT, Zhong H (2010) Conditions for entanglement in multipartite systems. Phys Rev A 81:062322 Simon R (2000) Peres–Horodecki separability criterion for continuous variable systems. Phys Rev Lett 84:2726 Duan L-M, Giedke G, Cirac JI, Zoller P (2000) Inseparability criterion for continuous variable systems. Phys Rev Lett 84:2722 Shchukin E, Vogel W (2005) Inseparability criteria for continuous bipartite quantum states. Phys Rev Lett 95: 230502. Errata Phys Rev Lett 95: 249904 (2005); Phys Rev Lett 96: 129902 (2006) Yuen HP, Shapiro JH, Trans IEEE (1980) Optical communication with two-photon coherent states. III—quantum measurements realizable with photoemissive detectors. Inf. Theor. 26:78