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Quantum Information Processing

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01-08-2023

Fast quantum cloning of \(1\rightarrow n \) orbital state with Rydberg superatom

Authors: W. Y. Zhang, S. He, Q. P. Shao, Y. Q. Ji, Y. L. Liu, H. Li, L. Dong, X. M. Xiu

Published in: Quantum Information Processing | Issue 8/2023

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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.

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Wootters, W.K., Zurek, W.H.: A single quantum cannot be cloned. Nature 299, 802–803 (1982)ADSMATH

Dieks, D.: Communication by EPR devices. Phys. Lett. A 92, 271–272 (1982)ADS

Bužek, V., Hillery, M.: Quantum copying: beyond the no-cloning theorem. Phys. Lett. A 54, 1844 (1996)MathSciNet

Duan, L.M., Guo, G.C.: Probabilistic cloning and identification of linearly independent quantum states. Phys. Rev. Lett. 80, 4999–5002 (1998)ADS

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)ADS

Gisin, N., Massar, S.: Optimal quantum cloning machines. Phys. Rev. Lett. 79, 2153 (1997)ADS

Werner, R.F.: Optimal cloning of pure states. Phys. Rev. A 58, 1827 (1998)ADS

Rezakhani, A., Siadatnejad, S., Ghaderi, A.: Separability in asymmetric phase-covariant cloning. Phys. Lett. A 336, 278 (2005)ADSMATH

10.

Fan, H., Matsumoto, K., Wang, X.B., Wadati, M.: Quantum cloning machines for equatorial qubits. Phys. Rev. A 65, 012304 (2001)ADS

11.

Buscemi, F., D’Ariano, G.M., Macchiavello, C.: Economical phase-covariant cloning of qudits. Phys. Rev. A 71, 042327 (2005)ADS

12.

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)ADS

13.

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)ADS

14.

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)ADS

15.

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)ADS

16.

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)ADS

17.

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)ADS

18.

Fan, H., Weihs, G., Matsumoto, K., Imai, H.: Cloning of symmetric d-level photonic states in physical systems. Phys. Rev. A 66, 024307 (2002)ADS

19.

Fasel, S., Gisin, N., Ribordy, G., Scarani, V., Zbinden, H.: Quantum cloning with an optical fiber amplifier. Phys. Rev. Lett. 89, 107901 (2002)ADS

20.

Sabuncu, M., Andersen, U.L., Leuchs, G.: Experimental demonstration of continuous variable cloning with phase-conjugate inputs. Phys. Rev. Lett. 98, 170503 (2007)ADS

21.

Sciarrino, F., De Martini, F.: Realization of the optimal phase-covariant quantum cloning machine. Phys. Rev. A 72, 062313 (2005)ADS

22.

Lin, J.Z.: Fast implementation of the orbital state quantum cloning machine. Laser Phys. Lett. 15, 055202 (2018)ADS

23.

Guo, G.C., Zhang, Y.S.: Scheme for preparation of the W state via cavity quantum electrodynamics. Phys. Rev. A 65, 054302 (2002)ADS

24.

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)ADS

25.

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)ADS

26.

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)ADS

27.

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)ADS

28.

Facchi, P., Gorini, V., Marmo, G., Pascazio, S., Sudarshan, E.: Quantum zeno dynamics. Phys. Lett. A 275, 12–19 (2000)ADSMathSciNetMATH

29.

Kwiat, P., Weinfurter, H., Herzog, T., Zeilinger, A., Kasevich, M.A.: Interaction-free measurement. Phys. Rev. Lett. 74, 4763 (1995)ADS

30.

Facchi, P., Pascazio, S.: Quantum Zeno subspaces. Phys. Rev. Lett. 89, 080401 (2002)ADSMathSciNetMATH

31.

Wang, X.B., You, J.Q., Nori, F.: Quantum entanglement via two-qubit quantum Zeno dynamics. Phys. Rev. A 77, 062339 (2008)ADS

32.

Ji, Y.Q., Shao, X.Q., Yi, X.X.: Fusing atomic W states via quantum Zeno dynamics. Sci. Rep. 7, 1378 (2017)ADS

33.

Franson, J.D., Jacobs, B.C., Pittman, T.B.: Quantum computing using single photons and the Zeno effect. Phys. Rev. A 70, 062302 (2004)ADS

34.

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)ADS

35.

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)ADS

36.

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)ADSMathSciNetMATH

37.

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)ADS

38.

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)ADS

39.

Myers, C.R., Gilchrist, A.: Photon-loss-tolerant Zeno controlled-sign gate. Phys. Rev. A 75, 052339 (2007)ADS

40.

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)ADS

41.

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)ADS

42.

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)ADSMATH

43.

Liang, Y., Ji, X., Wang, H.F., Zhang, S.: Deterministic SWAP gate using shortcuts to adiabatic passage. Laser Phys. Lett. 12, 115201 (2015)ADS

44.

Saffman, M., Walker, T.G., Mølmer, K.: Quantum information with Rydberg atoms. Rev. Mod. Phys. 82, 2313–2363 (2010)ADS

45.

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)

46.

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)ADS

47.

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)ADS

48.

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)ADS

49.

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)ADS

50.

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)

51.

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)ADS

52.

Weimer, H., Müller, M., Lesanovsky, I., Zoller, P., Büchler, H.P.: A Rydberg quantum simulator. Nat. Phys. 6, 382–388 (2010)

53.

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)

54.

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)ADS

55.

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)ADS

56.

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)ADS

57.

Su, S.L.: Rydberg quantum controlled-phase gate with one control and multiple target qubits. Chin. Phys. B 27, 401–407 (2018)

58.

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)ADS

59.

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)ADS

60.

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)ADS

61.

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)ADS

62.

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)ADS

63.

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)ADSMathSciNet

64.

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)ADS

65.

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)ADS

66.

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)ADS

67.

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)ADS

68.

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)ADS

69.

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)ADS

70.

Berry, M.V.: Transitionless quantum driving. J. Phys. A Math. Theor. 42, 365303 (2009)MathSciNetMATH

71.

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)

72.

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)ADS

73.

Guerlin, C., Brion, E., Esslinger, T., Mølmer, K.: Cavity quantum electrodynamics with a Rydberg-blocked atomic ensemble. Phys. Rev. A 82, 053832 (2010)ADS

74.

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)ADS

Title: Fast quantum cloning of orbital state with Rydberg superatom
Authors: W. Y. Zhang
S. He
Q. P. Shao
Y. Q. Ji
Y. L. Liu
H. Li
L. Dong
X. M. Xiu
Publication date: 01-08-2023
Publisher: Springer US
Published in: Quantum Information Processing / Issue 8/2023
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-023-04038-6

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