Abstract
We propose a scheme of dual-way photon polarization measurement to promote the performance of post-selected polarization hybrid entanglement presented by Tiunov et al. (AIP Conference Proceedings, 020017, 2018). With on–off single-photon detectors, the scheme can mitigate the effects of two- and multi-photons on the prepared hybrid entanglement and improve its fidelity, especially for large entanglement amplitude \(\alpha_{f}\). The influences of optical loss on prepared states are also discussed. It is demonstrated that the loss on the discrete-variable channel has little effect on the prepared states, even for the loss greater than 0.9. Using squeezed vacuum as approximate coherent superposition state, we calculate the fidelity of hybrid entanglement under real experimental conditions. The results show that with same fidelity our scheme can achieve higher generation probability compared with reference Tiunov et al. (AIP Conference Proceedings, 020017, 2018), and the hybrid entanglement with medium amplitude (\(\alpha_{f} = 1.5\)) and high fidelity (\({\text{Fidelity}} > 80\%\)) can be produced with currently available technology.
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References
Braunstein, S.L., van Loock, P.: Quantum information with continuous variables. Rev. Mod. Phys. 77, 513 (2005)
Eisert, J., Weedbrook, C., Furusawa, A., Braunstein, S.L.: Advances in quantum teleportation. Nat. Photon. 9, 641 (2015)
Krauter, H., Salart, D., Muschik, C.A., Petersen, J.M., Shen, H., Fernholz, T., Polzik, E.S.: Deterministic quantum teleportation between distant atomic objects. Nat. Phys. 9, 400 (2013)
Kok, P., Munro, W.J., Nemoto, K., Ralph, T.C., Dowling, J.P., Milburn, G.J.: Linear optical quantum computing with photonic qubits. Rev. Mod. Phys. 79, 135 (2007)
Duan, L.-M., Lukin, M., Cirac, I., Zoller, P.: Long-distance quantum communication with atomic ensembles and linear optics. Nature 414, 413 (2001)
Pu, Y.-F., Jiang, N., Chang, W., Yang, H.-X., Li, C., Duan, L.-M.: Experimental realization of a multiplexed quantum memory with 225 individually accessible memory cells. Nat. Commun. 8, 15359 (2017)
Andersen, U.L., Neergaard-Nielsen, J.S., van Loock, P., Furusawa, A.: Hybrid discrete- and continuous-variable quantum information. Nat. Phys. 11, 713 (2015)
van Loock, P.: Optical hybrid approaches to quantum information. Laser Photon. Rev. 5, 167 (2011)
van Loock, P., Munro, W.J., Nemoto, K., Spiller, T.P., Ladd, T.D., Braunstein, S.L., Milburn, G.J.: Hybrid quantum computation in quantum optics. Phys. Rev. A 78, 022303 (2008)
Lee, S.-W., Jeong, H.: Near-deterministic quantum teleportation and resource-efficient quantum computation using linear optics and hybrid qubits. Phys. Rev. A. 87, 022326 (2013)
Borregaard, J., Brask, J.B., Sørensen, A.S.: Hybrid quantum repeater protocol with fast local processing. Phys. Rev. A 86, 012330 (2012)
Takeda, S., Mizuta, T., Fuwa, M., van Loock, P., Furusawa, A.: Deterministic quantum teleportation of photonic quantum bits by a hybrid technique. Nature 500, 315 (2013)
Morin, O., Bancal, J.-D., Ho, M., Sekatski, P., D’Auria, V., Gisin, N., Laurat, J., Sangouard, N.: Witnessing trustworthy single-photon entanglement with local homodyne measurements. Phys. Rev. Lett. 110, 130401 (2013)
Lim, Y., Joo, J., Spiller, T.P., Jeong, H.: Loss-resilient photonic entanglement swapping using optical hybrid states. Phys. Rev. A 94, 062337 (2016)
Kreis, K., van Loock, P.: Classifying, quantifying, and witnessing qudit-qumode hybrid entanglement. Phys. Rev. A 85, 032307 (2012)
Cavaillès, A., Le Jeannic, H., Raskop, J., Guccione, G., Markham, D., Diamanti, E., Shaw, M.D., Verma, V.B., Nam, S.W., Laurat, J.: Demonstration of Einstein-Podolsky-Rosen steering using hybrid continuous- and discrete-variable entanglement of light. Phys. Rev. Lett. 121, 170403 (2018)
Hacker, B., Welte, S., Daiss, S., Shaukat, A., Ritter, S., Li, L., Rempe, G.: Deterministic creation of entangled atom–light Schrödinger-cat states. Nat. Photon. 13, 110 (2019)
Morin, O., Huang, K., Liu, J.-L., Jeannic, H.L., Fabre, C., Laurat, J.: Remote creation of hybrid entanglement between particle-like and wave-like optical qubits. Nat. Photon. 8, 570 (2014)
Takeda, S., Fuwa, M., van Loock, P., Furusawa, A.: Entanglement swapping between discrete and continuous variables. Phys. Rev. Lett. 114, 100501 (2015)
Takeda, S., Mizuta, T., Fuwa, M., Yoshikawa, J., Yonezawa, H., Furusawa, A.: Generation and eight-port homodyne characterization of time-bin qubits for continuous-variable quantum information processing. Phys. Rev. A. 87, 043803 (2013)
Jeong, H., Zavatta, A., Kang, M., Lee, S.-W., Costanzo, L.S., Grandi, S., Ralph, T.C., Bellini, M.: Generation of hybrid entanglement of light. Nat. Photon. 8, 564 (2014)
Ulanov, A. E., Sychev, D., Pushkina, A. A., Fedorov, I. A., Lvovsky, A. I.: Quantum teleportation between discrete and continuous encodings of an optical qubit. Phys. Rev. Lett. 118, 160501 (2017)
Jeannic, H.L., Cavaillès, A., Raskop, J., Huang, K., Laurat, J.: Remote preparation of continuous-variable qubits using loss-tolerant hybrid entanglement of light. Optica 5, 1012 (2018)
Sheng, Y.-B., Zhou, L., Long, G.-L.: Hybrid entanglement purification for quantum repeaters. Phys. Rev. A 88, 022302 (2013)
Kwon, H., Jeong, H.: Violation of the Bell–Clauser-Horne-Shimony-Holt inequality using imperfect photodetectors with optical hybrid states. Phys. Rev. A 88, 052127 (2013)
Kwon, H., Jeong, H., Generation of hybrid entanglement between a single-photon polarization qubit and a coherent state. Phys. Rev. A 91, 012340 (2015)
Li, S.-J., Yan, H.-M., He, Y.-Y., Wang, H.: Experimentally feasible generation protocol for polarized hybrid entanglement. Phys. Rev. A 98, 022334 (2018)
Tiunov, E., Sychev, D.V., Ulanov, A.E., Pushkina A.A., Fedorov, I.A., Novikov, V., Lvovsky, A.I.: Towards interconversion between discrete- and continuous-variable encodings in quantum optics. AIP Conference Proceedings, vol. 1936, p. 020017 (2018)
Sychev, D.V., Ulanov, A.E., Tiunov, E.S., Pushkina, A.A., Kuzhamuratov, A., Novikov, V., Lvovsky, A.I.: Entanglement and teleportation between polarization and wave-like encodings of an optical qubit. Nat. Commun. 9, 3672 (2018)
Jeong, H., Kim, M. S.: Efficient quantum computation using coherent states. Phys. Rev. A 65, 042305 (2002)
Ralph, T. C., Gilchrist, A., Milburn, G. J.: Quantum computation with optical coherent states. Phys. Rev. A 68, 042319 (2003)
Suzuki, S., Tsujino, K., Kannari, F., Sasaki, M.: Analysis on generation schemes of Schrödinger cat-like states under experimental imperfections. Opt. Commun. 259, 758 (2006)
Ourjoumtsev, A., Ferreyrol, F., Tualle-Brouri, R., Grangier, P.: Preparing non-local superpositions of quasi-classical light states. Nat. Phys. 5, 189 (2009)
Ourjoumtsev, A., Tualle-Brouri, R., Laurat, J., Grangier, P.: Generating optical Schrödinger kittens for quantum information processing. Science 312, 83 (2006)
Neergaard-Nielsen, J. S., Nielsen, B. M., Hettich, C., Mølmer, K., Polzik, E. S.: Generation of a superposition of odd photon number states for quantum information networks. Phys. Rev. Lett. 97, 083604 (2006)
Kim, M. S., Park, E., Knight, P. L., Jeong, H.: Nonclassicality of a photon-subtracted Gaussian field. Phys. Rev. A 71, 043805 (2005)
Paris, M. G. A., Illuminati, F., Serafini, A., De Siena, S.: Purity of Gaussian states: measurement schemes and time evolution in noisy channels. Phys. Rev. A 68, 012314 (2003)
Laghaout, A., Neergaard-Nielsen, J. S., Rigas, I., Kragh, C., Tipsmark, A., Andersen U. L.: Amplification of realistic Schrödinger-cat-state-like states by homodyne heralding. Phys. Rev. A 87, 043826 (2013)
Sychev, D.V., Ulanov, A.E., Pushkina, A.A., Richards, M.W., Fedorov, I.A., Lvovsky, A.I.: Enlargement of optical Schrödinger’s cat states. Nat. Photon. 11, 379 (2017)
Lund, A.P., Jeong, H., Ralph, T.C., Kim, M.S.: Conditional production of superpositions of coherent states with inefficient photon detection. Phys. Rev. A 70, 020101(R) (2004)
Acknowledgements
This work was supported by the Key Project of the Ministry of Science and Technology of China (Grant No. 2016YFA0301402) and by the National Natural Science Foundation of China (Grants Nos. 11834010, 11274211, 11604191 and 61805133).
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Li, S., He, Y., Deng, Q. et al. Improvement of hybrid entanglement by dual-way photon polarization measurement. Quantum Inf Process 20, 295 (2021). https://doi.org/10.1007/s11128-021-03221-x
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DOI: https://doi.org/10.1007/s11128-021-03221-x