Entanglement generation via non-Gaussian transfer over atmospheric fading channels

In this work we probe the usefulness of non-Gaussian entangled states as a resource for quantum communication through atmospheric channels. We outline the initial conditions in which non-Gaussian state transfer leads to enhanced entanglement transfer relative to that obtainable via Gaussian state transfer. However, we conclude that in (anticipated) operational scenarios—where most of the non-Gaussian states to be transferred over the air are created just in time via photonic subtraction, addition, or replacement from incoming Gaussian states—the entanglement-generation rate between stations via non-Gaussian state transfer will be substantially less than that created by direct Gaussian state transfer. The role of postselection, distillation, and quantum memory in altering this conclusion is discussed, and comparison with entanglement rates produced via single-photon technologies is provided. Our results suggest that in the near term entangled Gaussian states, squeezed beyond some modest level, offer the most attractive proposition for the distribution of entanglement through high-loss atmospheric channels. The implications of our results for entanglement-based quantum key distribution to low-Earth orbit are presented.

[1]  J. Cirac,et al.  Characterization of Gaussian operations and distillation of Gaussian states , 2002, quant-ph/0204085.

[2]  Seth Lloyd,et al.  Gaussian quantum information , 2011, 1110.3234.

[3]  Krishna Kumar Sabapathy,et al.  Robustness of non-Gaussian entanglement against noisy amplifier and attenuator environments. , 2011, Physical review letters.

[4]  G. Adesso.  Simple proof of the robustness of Gaussian entanglement in bosonic noisy channels , 2011, 1102.2356.

[5]  Jian-Wei Pan,et al.  Experimental quasi-single-photon transmission from satellite to earth. , 2013, Optics express.

[6]  W. Vogel,et al.  Toward global quantum communication: beam wandering preserves nonclassicality. , 2011, Physical review letters.

[7]  M. Ziman,et al.  Entanglement sensitivity to signal attenuation and amplification , 2014, 1405.1754.

[8]  Guang-Can Guo,et al.  Continuous-variable-entanglement distillation with photon addition , 2013 .

[9]  Robert A. Malaney,et al.  Quantum key distribution over combined atmospheric fading channels , 2014, 2015 IEEE International Conference on Communications (ICC).

[10]  Jeffrey H. Shapiro,et al.  Enhancing quantum entanglement by photon addition and subtraction , 2012 .

[11]  Paolo Villoresi,et al.  Space-quest, experiments with quantum entanglement in space , 2008, 0806.0945.

[12]  Paolo Villoresi,et al.  Link budget and background noise for satellite quantum key distribution , 2011 .

[13]  G. Milburn,et al.  Linear amplification and quantum cloning for non-Gaussian continuous variables , 2010, 1009.2306.

[14]  Masahide Sasaki,et al.  Entanglement distillation from Gaussian input states , 2010 .

[15]  Jonathan P. Dowling,et al.  Creation of large-photon-number path entanglement conditioned on photodetection , 2001, quant-ph/0112002.

[16]  Paolo Villoresi,et al.  Experimental Satellite Quantum Communications. , 2014, Physical review letters.

[17]  J. Eisert,et al.  Gaussian quantum channels , 2005, quant-ph/0505151.

[18]  Fuli Li,et al.  Entanglement properties of non-Gaussian resources generated via photon subtraction and addition and continuous-variable quantum-teleportation improvement , 2009 .

[19]  Hugo Cable,et al.  Efficient generation of large number-path entanglement using only linear optics and feed-forward. , 2007, Physical review letters.

[20]  M. Bellini,et al.  Quantum-to-Classical Transition with Single-Photon-Added Coherent States of Light , 2004, Science.

[21]  Peter van Loock,et al.  Distillation of mixed-state continuous-variable entanglement by photon subtraction , 2010, 1009.4888.

[22]  W. Vogel,et al.  Homodyne detection for atmosphere channels , 2011, 1111.0734.

[23]  Gershon Kurizki,et al.  Improvement on teleportation of continuous variables by photon subtraction via conditional measurement , 2000 .

[24]  A. Zeilinger,et al.  Long-distance quantum communication with entangled photons using satellites , 2003, quant-ph/0305105.

[25]  Animesh Datta,et al.  Strategies for enhancing quantum entanglement by local photon subtraction , 2013 .

[26]  Radim Filip,et al.  Continuous-variable entanglement distillation of non-Gaussian mixed states , 2010, 1002.0280.

[27]  Alessandro Zavatta,et al.  Experimental nonclassicality of single-photon-added thermal light states , 2007, 0704.0179.

[28]  R. Laflamme,et al.  A comprehensive design and performance analysis of low Earth orbit satellite quantum communication , 2012, 1211.2733.

[29]  J Eisert,et al.  Distilling Gaussian states with Gaussian operations is impossible. , 2002, Physical review letters.

[30]  G. Agarwal,et al.  Amplification of maximally-path-entangled number states , 2010 .

[31]  Masahide Sasaki,et al.  Entanglement evaluation of non-Gaussian states generated by photon subtraction from squeezed states , 2005, quant-ph/0512069.

[32]  Yaron Silberberg,et al.  Experimental tomography of NOON states with large photon numbers , 2011, 1112.4371.

[33]  Robert Malaney,et al.  Gaussian entanglement distribution via satellite , 2014, 1410.1319.

[34]  Y. Silberberg,et al.  High-NOON States by Mixing Quantum and Classical Light , 2010, Science.

[35]  S. Solimeno,et al.  Survival of continuous variable entanglement over long distances , 2013 .

[36]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[37]  J. Fiurášek.  Conditional generation of N -photon entangled states of light , 2001, quant-ph/0110138.

[38]  Kaushik P. Seshadreesan,et al.  Non-Gaussian entangled states and quantum teleportation of Schrödinger-cat states , 2013, 1306.3168.

[39]  J. Cirac,et al.  Extremality of Gaussian quantum states. , 2005, Physical review letters.

[40]  R. Simon,et al.  Operator-sum representation for bosonic Gaussian channels , 2010, 1012.4266.

[41]  M. Paris,et al.  Role of initial entanglement and non-Gaussianity in the decoherence of photon-number entangled states evolving in a noisy channel. , 2010, Physical review letters.

[42]  Vladyslav C. Usenko,et al.  Entanglement of Gaussian states and the applicability to quantum key distribution over fading channels , 2012, 1208.4307.

[43]  J. Sperling,et al.  Entanglement and phase properties of noisy NOON states , 2014, 1412.3321.

[44]  Vitus Händchen,et al.  Stable control of 10 dB two-mode squeezed vacuum states of light. , 2013, Optics express.

[45]  F. Illuminati,et al.  Continuous-variable quantum teleportation with non-Gaussian resources , 2007, 0706.3701.

[46]  C. Wittmann,et al.  Atmospheric continuous-variable quantum communication , 2014, 1406.1321.