Abstract
We propose an efficient scheme for realizing the \(1\rightarrow n\) orbital state quantum cloning by using Rydberg superatoms. We place an ultracold Rydberg atomic ensemble which contains n individual ladder type Rydberg atoms inside the blocking ball to form a superatom, the quantum information is encoded the effective energy levels of superatom. Combined with quantum Zeno dynamics and shortcuts to adiabaticity, the \(1\rightarrow 3\) orbital state quantum cloning process can be quickly completed. Moreover, we generalize the idea to the case of \(1\rightarrow n\). At last, the influence of decoherence factors on fidelity is considered. The numerical simulation results show that high fidelity can be obtained.








Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Data Availability
Data sharing is not applicable to this article as no datasets were generated or analyzed during the current study.
References
Wootters, W.K., Zurek, W.H.: A single quantum cannot be cloned. Nature 299, 802–803 (1982)
Dieks, D.: Communication by EPR devices. Phys. Lett. A 92, 271–272 (1982)
Bužek, V., Hillery, M.: Quantum copying: beyond the no-cloning theorem. Phys. Lett. A 54, 1844 (1996)
Duan, L.M., Guo, G.C.: Probabilistic cloning and identification of linearly independent quantum states. Phys. Rev. Lett. 80, 4999–5002 (1998)
Bruß, D., Cinchetti, M., Mauro, D’Ariano, G., Macchiavello, C.: Phase-covariant quantum cloning. Phys. Rev. A 62, 012302 (2000)
Navez, P., Cerf, N.J.: Cloning a real d-dimensional quantum state on the edge of the no-signaling condition. Phys. Rev. A 68, 032313 (2003)
Gisin, N., Massar, S.: Optimal quantum cloning machines. Phys. Rev. Lett. 79, 2153 (1997)
Werner, R.F.: Optimal cloning of pure states. Phys. Rev. A 58, 1827 (1998)
Rezakhani, A., Siadatnejad, S., Ghaderi, A.: Separability in asymmetric phase-covariant cloning. Phys. Lett. A 336, 278 (2005)
Fan, H., Matsumoto, K., Wang, X.B., Wadati, M.: Quantum cloning machines for equatorial qubits. Phys. Rev. A 65, 012304 (2001)
Buscemi, F., D’Ariano, G.M., Macchiavello, C.: Economical phase-covariant cloning of qudits. Phys. Rev. A 71, 042327 (2005)
Shao, X.Q., Wang, H.F., Chen, L., Zhang, S., Zhao, Y.F., Yeon, K.H.: One-step implementation of the 1 \(\rightarrow \) 3 orbital state quantum cloning machine via quantum Zeno dynamics. Phys. Rev. A 80, 062323 (2009)
Ji, Y.Q., Yu, T., Zhu, A.D., Wang, H.F., Zhang, S., Yeon, K.H., Yu, S.C.: Realization of optimal symmetric universal and phase-covariant quantum cloning with quantum dot spins in cavity QED. J. Mod. Opt. 59, 1272 (2012)
Zhu, A.D., Yeon, K.H., Yu, S.C.: Optimal universal and phase-covariant quantum cloning machines with quantum-dot spins in cavity QED. J. Phys. B At. Mol. Opt. Phys. 42, 235501 (2009)
Ji, Y.Q., Wen, J.J., Wang, Y.L., Zhu, A.D., Wang, H.F., Zhang, S., Yeon, K.H.: Deterministic quantum logic gates and quantum cloning based on quantum dot-cavity coupled system. Opt. Commun. 303, 56–61 (2013)
Chen, H., Zhou, X., Suter, D., Du, J.: Experimental realization of 1 \(\rightarrow \) 2 asymmetric phase-covariant quantum cloning. Phys. Rev. A 75, 012317 (2007)
Cummins, H.K., Jones, C., Furze, A., Soffe, N.F., Mosca, M., Peach, J.M., Jones, J.A.: Approximate quantum cloning with nuclear magnetic resonance. Phys. Rev. Lett. 88, 187901 (2002)
Fan, H., Weihs, G., Matsumoto, K., Imai, H.: Cloning of symmetric d-level photonic states in physical systems. Phys. Rev. A 66, 024307 (2002)
Fasel, S., Gisin, N., Ribordy, G., Scarani, V., Zbinden, H.: Quantum cloning with an optical fiber amplifier. Phys. Rev. Lett. 89, 107901 (2002)
Sabuncu, M., Andersen, U.L., Leuchs, G.: Experimental demonstration of continuous variable cloning with phase-conjugate inputs. Phys. Rev. Lett. 98, 170503 (2007)
Sciarrino, F., De Martini, F.: Realization of the optimal phase-covariant quantum cloning machine. Phys. Rev. A 72, 062313 (2005)
Lin, J.Z.: Fast implementation of the orbital state quantum cloning machine. Laser Phys. Lett. 15, 055202 (2018)
Guo, G.C., Zhang, Y.S.: Scheme for preparation of the W state via cavity quantum electrodynamics. Phys. Rev. A 65, 054302 (2002)
Deng, Z.J., Feng, M., Gao, K.L.: Simple scheme for generating an n-qubit W state in cavity QED. Phys. Rev. A 73, 014302 (2006)
Zhang, X.L., Gao, K.L., Feng, M.: Preparation of cluster states and W states with superconducting quantum-interference-device qubits in cavity QED. Phys. Rev. A 74, 024303 (2006)
Deng, Z.J., Gao, K.L., Feng, M.: Generation of N-qubit W states with rf SQUID qubits by adiabatic passage. Phys. Rev. A 74, 064303 (2006)
Song, K.H., Xiang, S.H., Liu, Q., Lu, D.H.: Quantum computation and W-state generation using superconducting flux qubits coupled to a cavity without geometric and dynamical manipulation. Phys. Rev. A 75, 032347 (2007)
Facchi, P., Gorini, V., Marmo, G., Pascazio, S., Sudarshan, E.: Quantum zeno dynamics. Phys. Lett. A 275, 12–19 (2000)
Kwiat, P., Weinfurter, H., Herzog, T., Zeilinger, A., Kasevich, M.A.: Interaction-free measurement. Phys. Rev. Lett. 74, 4763 (1995)
Facchi, P., Pascazio, S.: Quantum Zeno subspaces. Phys. Rev. Lett. 89, 080401 (2002)
Wang, X.B., You, J.Q., Nori, F.: Quantum entanglement via two-qubit quantum Zeno dynamics. Phys. Rev. A 77, 062339 (2008)
Ji, Y.Q., Shao, X.Q., Yi, X.X.: Fusing atomic W states via quantum Zeno dynamics. Sci. Rep. 7, 1378 (2017)
Franson, J.D., Jacobs, B.C., Pittman, T.B.: Quantum computing using single photons and the Zeno effect. Phys. Rev. A 70, 062302 (2004)
Huang, Y.P., Moore, M.G.: Interaction-and measurement-free quantum Zeno gates for universal computation with single-atom and single-photon qubits. Phys. Rev. A 77, 062332 (2008)
Shao, X.Q., Wu, J.H., Yi, X.X.: Dissipation-based entanglement via quantum Zeno dynamics and Rydberg antiblockade. Phys. Rev. A 95, 062339 (2017)
Chen, M.F., Chen, Y.F., Ma, S.S.: One-step implementation of a Toffoli gate of separated superconducting qubits via quantum Zeno dynamics. Quantum Inf. Process. 15, 1469 (2016)
Liang, Y., Su, S.L., Wu, Q.C., Ji, X., Zhang, S.: Adiabatic passage for three-dimensional entanglement generation through quantum Zeno dynamics. Opt. Express 23, 5064 (2015)
Shao, X.Q., Wu, J.H., Yi, X.X., Long, G.L.: Dissipative preparation of steady Greenberger–Horne–Zeilinger states for Rydberg atoms with quantum Zeno dynamics. Phys. Rev. A 96, 062315 (2017)
Myers, C.R., Gilchrist, A.: Photon-loss-tolerant Zeno controlled-sign gate. Phys. Rev. A 75, 052339 (2007)
Su, W.J., Yang, Z.B., Wu, H.Z.: Quantum state transfer and conditional phase gate via off-resonant quantum Zeno dynamics. Opt. Commun. 383, 101 (2017)
Beige, A., Braun, D., Tregenna, B., Knight, P.L.: Quantum computing using dissipation to remain in a decoherence-free subspace. Phys. Rev. Lett. 85, 1762 (2000)
Shao, X.Q., Zheng, T.Y., Zhang, S.: Scalable implementation of ancilla-free optimal 1 \(\rightarrow \) M phase-covariant quantum cloning by combining quantum Zeno dynamics and adiabatic passage. Phys. Lett. A 375, 3504–3508 (2011)
Liang, Y., Ji, X., Wang, H.F., Zhang, S.: Deterministic SWAP gate using shortcuts to adiabatic passage. Laser Phys. Lett. 12, 115201 (2015)
Saffman, M., Walker, T.G., Mølmer, K.: Quantum information with Rydberg atoms. Rev. Mod. Phys. 82, 2313–2363 (2010)
Löw, R., Weimer, H., Nipper, J., Balewski, J.B., Butscher, B., Büchler, H.P., Pfau, T.: An experimental and theoretical guide to strongly interacting Rydberg gases. J. Phys. B At. Mol. Opt. Phys. 45, 113001 (2012)
Vogt, T., Viteau, M., Zhao, J., Chotia, A., Comparat, D., Pillet, P.: Dipole blockade at Förster resonances in high resolution laser excitation of Rydberg states of cesium atoms. Phys. Rev. Lett. 97, 083003 (2006)
Tong, D., Farooqi, S.M., Stanojevic, J., Krishnan, S., Zhang, Y.P., Côté, R.: Local blockade of Rydberg excitation in an ultracold gas. Phys. Rev. Lett. 93, 063001 (2004)
Honer, J., Löw, R., Weimer, H., Pfau, T., Büchler, H.P.: Artificial atoms can do more than atoms: deterministic single photon subtraction from arbitrary light fields. Phys. Rev. Lett. 107, 093601 (2011)
Jaksch, D., Cirac, J.I., Zoller, P., Rolston, S.L., Côté, R., Lukin, M.D.: Fast quantum gates for neutral atoms. Phys. Rev. Lett. 85, 2208–2211 (2000)
Singer, k., Reetz-Lamour, M., Amthor, T., Marcassa, L.G., Weidemüller, M.: Suppression of excitation and spectral broadening induced by interactions in a cold gas of Rydberg atoms. Phys. Rev. Lett 93, 163001 (2004)
Dauphin, A., Müller, M., Martin-Delgado, M.A.: Rydberg-atom quantum simulation and Chern-number characterization of a topological Mott insulator. Phys. Rev. A 86, 053618 (2012)
Weimer, H., Müller, M., Lesanovsky, I., Zoller, P., Büchler, H.P.: A Rydberg quantum simulator. Nat. Phys. 6, 382–388 (2010)
Nguyen, T.L., Raimond, J.M., Sayrin, C., Cortinas, R., Cantatmoltrecht, T., Assemat, F., Dotsenko, I., Gleyzes, S., Haroche, S., Roux, G., Jolicoeur, T., Brune, M.: Towards quantum simulation with circular Rydberg atoms. Phys. Rev. X 8, 011032 (2018)
Su, S.L., Gao, Y., Liang, E.J., Zhang, S.: Fast Rydberg antiblockade regime and its applications in quantum logic gates. Phys. Rev. A 95, 022319 (2017)
Su, S.L., Guo, F.Q., Tian, L., Zhu, X.Y., Yan, L.L., Liang, E.J., Feng, M.: Nondestructive Rydberg parity meter and its applications. Phys. Rev. A 101, 012347 (2020)
Maller, K.M., Lichtman, M.T., Xia, T., Sun, Y., Piotrowicz, M.J., Carr, A.W., Isenhower, L., Saffman, M.: Rydberg-blockade controlled-not gate and entanglement in a two-dimensional array of neutral-atom qubits. Phys. Rev. A 92, 022336 (2015)
Su, S.L.: Rydberg quantum controlled-phase gate with one control and multiple target qubits. Chin. Phys. B 27, 401–407 (2018)
Su, S.L., Shen, H.Z., Liang, E.J., Zhang, S.: One-step construction of the multiple-qubit Rydberg controlled-phase gate. Phys. Rev. A 98, 032306 (2018)
Brion, E., Pedersen, L.H., Saffman, M., Mølmer, K.: Error correction in ensemble registers for quantum repeaters and quantum computers. Phys. Rev. Lett. 100, 110506 (2008)
Han, Y., He, B., Heshami, K., Li, C.Z., Simon, C.: Quantum repeaters based on Rydberg-blockade-coupled atomic ensembles. Phys. Rev. A 81, 052311 (2010)
Wilk, T., Gaëtan, A., Evellin, C., Wolters, J., Miroshnychenko, Y., Grangie, P., Browaeys, A.: Entanglement of two individual neutral atoms using Rydberg blockade. Phys. Rev. Lett. 104, 010502 (2010)
Zhang, X.L., Isenhower, L., Gill, A.T., Walker, T.G., Saffman, M.: Fidelity of a Rydberg-blockade quantum gate from simulated quantum process tomography. Phys. Rev. A 82, 030306 (2010)
Ji, Y.Q., Liu, Y.L., Li, H., Zhou, X.J., Xiao, R.J., Dong, L., Xiu, X.M.: Fast preparation of Bell state and W state with Rydberg superatom. Quantum Inf. Process. 9, 421 (2020)
Colombe, Y., Steinmetz, T., Dubois, G., Linke, F., Hunger, D., Reichel, J.: Strong atom-field coupling for Bose–Einstein condensates in an optical cavity on a chip. Nature 450, 272–276 (2007)
Pritchard, J.D., Maxwell, D., Gauguet, A., Weatherill, K.J., Jones, M.P.A., Adams, C.S.: Cooperative atom-light interaction in a blockaded Rydberg ensemble. Phys. Rev. Lett. 105, 193603 (2010)
Shao, X.Q., Wang, H.F., Chen, L., Zhang, S., Zhao, Y.F., Yeon, K.H.: Converting two-atom singlet state into three-atom singlet state via quantum Zeno dynamics. New J. Phys. 12, 023040 (2010)
Chen, Y.H., Xia, Y., Chen, Q.Q., Song, J.: Efficient shortcuts to adiabatic passage for fast population transfer in multiparticle systems. Phys. Rev. A 89, 033856 (2014)
Shao, X.Q., Wu, J.H., Yi, X.X., Long, G.L.: Dissipative preparation of steady Greenberger–Horne–Zeilinger states for Rydberg atoms with quantum Zeno dynamics. Phys. Rev. A 96, 062315 (2017)
Chen, X., Lizuain, I., Ruschhaupt, A., Guéry-Odelin, D., Muga, J.G.: Shortcut to adiabatic passage in two-and three-level atoms. Phys. Rev. Lett. 105, 123003 (2010)
Berry, M.V.: Transitionless quantum driving. J. Phys. A Math. Theor. 42, 365303 (2009)
Paris-Mandoki, A., Braun, C., Kumlin, J., Tresp, C., Mirgorodskiy, I., Christaller, F., Büchler, H.P., Hofferberth, S.: Free-space quantum electrodynamics with a single Rydberg superatom. Phys. Rev. X 7, 041010 (2017)
Isenhower, L., Urban, E., Zhang, X.L., Gill, A.T., Henage, T., Johnson, T.A., Walker, T.G., Saffman, M.: Demonstration of a neutral atom controlled-NOT quantum gate. Phys. Rev. Lett. 104, 010503 (2010)
Guerlin, C., Brion, E., Esslinger, T., Mølmer, K.: Cavity quantum electrodynamics with a Rydberg-blocked atomic ensemble. Phys. Rev. A 82, 053832 (2010)
Zhang, X.F., Sun, Q., Wen, Y.C., Liu, W.M., Eggert, S., Ji, A.C.: Rydberg polaritons in a cavity: a superradiant solid. Phys. Rev. Lett. 110, 090402 (2013)
Acknowledgements
This study was supported by the National Natural Science Foundation of China (Grant Nos. 11947078, 11674037), the Program of the Educational Office of LiaoNing Province of China (Grant Nos. LJKZ1015, LJ2020005), the Natural Science Foundation of LiaoNing Province (Grant Nos. 2020-BS-234, 2021-MS-317), the Program of Liaoning BaiQianWan Talents Program (Grant No. 2021921096), the LiaoNing Revitalization Talents Program (Grant No. XLYC1807206) and the Natural Science Foundation of Jilin Province (Grant No. YDZJ202201ZYTS324)
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Zhang, W.Y., He, S., Shao, Q.P. et al. Fast quantum cloning of \(1\rightarrow n \) orbital state with Rydberg superatom. Quantum Inf Process 22, 307 (2023). https://doi.org/10.1007/s11128-023-04038-6
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11128-023-04038-6