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Quantum Information Processing

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01-10-2013

Generation of steady three- and four-dimensional entangled states via quantum-jump-based feedback

Authors: Qi-Cheng Wu, Xin Ji

Published in: Quantum Information Processing | Issue 10/2013

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Abstract

A scheme is presented for generating steady three- (four-) dimensional entangled states for two atoms trapped in a strongly dissipative single-mode (double-mode) cavity via quantum-jump-based feedback. The cavity decay is no longer undesirable, but plays an integral part in the schemes. Numerical results show that the target states could be obtained from any initial states via quantum-jump-based feedback. Moreover, our scheme is insensitive to moderate fluctuations of experimental parameters and detection inefficiencies without atomic decay since the system can always reach the target state. Nevertheless, the atomic decay still plays a negative role in the current scheme. The scheme can be generalized to realize \(N\)-dimensional entanglement for two atoms.

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Bennett, C.H., Wiesner, S.J.: Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states. Phys. Rev. Lett. 69, 2881–2884 (1992)MathSciNetADSCrossRefMATH

Gordon, G., Rigolin, G.: Generalized teleportation protocol. Phys. Rev. A 73, 042309 (2006)ADSCrossRef

Zheng, S.B., Guo, G.C.: Scheme for atomic-state teleportation between two bad cavities. Phys. Rev. A 73, 032329 (2006)ADSCrossRef

Vitanov, N.V., Stenholm, S.: Analytic properties and effective two-level problems in stimulated Raman adiabatic passage. Phys. Rev. A 55, 648–660 (1997)ADSCrossRef

Rauschenbeutel, A., Nogues, G., Osnaghi, S., Bertet, P., Brune, M., Raimond, J., Haroche, S.: Step-by-Step engineered multiparticle entanglement. Science 288, 2024–2028 (2000)ADSCrossRef

Sackett, C.A., Kielpinski, D., King, B.E., Langer, C., Meyer, V., Myatt, C.J., Rowe, M., Turchette, Q.A., Itano, W.M., Wineland, D.J., Monroe, C.: Experimental entanglement of four particles. Nature 404, 256 (2000)ADSCrossRef

Pan, J.W., Daniell, M., Gasparoni, S., Weihs, G., Zeilinger, A.: Experimental demonstration of four-photon entanglement and high-fidelity teleportation. Phys. Rev. Lett. 86, 4435–4438 (2001)ADSCrossRef

Roos, C.F., Riebe, M., Häffner, H., Hänsel, W., Benhelm, J., Lancaster, G.P.T., Becher, C., Schmidt-Kaler, F., Blatt, R.: Control and measurement of three-qubit entangled states. Science 304, 1478–1480 (2004)ADSCrossRef

Haroche, S., Kleppner, D.: Cavity quantum electrodynamics. Phys. Today 42, 24 (1989)ADSCrossRef

10.

Walther, H., Varcoe, B.T.H., Englert, B.G., Becker, T.: Cavity quantum electrodynamics. Rep. Prog. Phys. 69, 1325 (2006)ADSCrossRef

11.

Metz, J., Beige, A.: Macroscopic quantum jumps and entangled state preparation. Phys. Rev. A 76, 022331 (2007)ADSCrossRef

12.

Birnbaum, K.M., Boca, A., Miller, R., Boozer, A.D., Northup, T.E., Kimble, H.J.: Photon blockade in an optical cavity with one trapped atom. Nature (London) 436, 87–90 (2005)ADSCrossRef

13.

Wieman, C.E., Pritchard, D.E., Wineland, D.J.: Atom cooling, trapping, and quantum manipulation. Rev. Mod. Phys. 71, S253–S262 (1999)CrossRef

14.

Leibfried, D., Blatt, R., Monroe, C., Wineland, D.: Quantum dynamics of single trapped ions. Rev. Mod. Phys. 75, 281–324 (2003)ADSCrossRef

15.

Bruß, D., Macchiavello, C.: Optimal eavesdropping in cryptography with three-dimensional quantum states. Phys. Rev. Lett. 88, 127901 (2002)ADSCrossRef

16.

Cerf, N.J., Bourennane, M., Karlsson, A., Gisin, N.: Security of quantum key distribution using d-level systems. Phys. Rev. Lett. 88, 127902 (2002)ADSCrossRef

17.

Zou, X.B., Pahlke, K., Mathis, W.: Generation of an entangled state of two three-level atoms in cavity QED. Phys. Rev. A 67, 044301 (2003)ADSCrossRef

18.

Li, W.A., Huang, G.Y.: Deterministic generation of a three-dimensional entangled state via quantum Zeno dynamics. Phys. Rev. A 83, 022322 (2011)ADSCrossRef

19.

Chen, L.B., Shi, P., Zheng, C.H., Gu, Y.J.: Generation of three-dimensional entangled state between a single atom and a Bose-Einstein condensate via adiabatic passage. Opt. Express 20, 14547–14555 (2012)ADSCrossRef

20.

Shen, L.T., Wu, H.Z., Chen, R.X.: Robust generation of a four-dimensional entangled state in separate cavities via quantum Zeno dynamics. J. Phys. B 44, 205503 (2011)ADSCrossRef

21.

Wang, X.T., Schirmer, S.G.: Generating maximal entanglement between non-interacting atoms by collective decay and symmetry breaking. (2010) arXiv:1005.2114v2

22.

Kastoryano, M.J., Reiter, F., Sorensen, A.S.: Dissipative preparation of entanglement in optical cavities. Phys. Rev. Lett. 106, 090502 (2011)ADSCrossRef

23.

Busch, J., De, S., Ivanov, S.S., Torosov, B.T., Spiller, T.P., Beige, A.: Cooling atom-cavity systems into entangled states. Phys. Rev. A 84, 022316 (2011)ADSCrossRef

24.

Shen, L.T., Chen, X.Y., Yang, Z.B., Wu, H.Z., Zheng, S.B.: Steady-state entanglement for distant atoms by dissipation in coupled cavities. Phys. Rev. A 84, 064302 (2011)ADSCrossRef

25.

Reiter, F., Kastoryano, M.J., Sørensen, A.S.: Driving two atoms in an optical cavity into an entangled steady state using engineered decay. New J. Phys. 14, 053022 (2012)ADSCrossRef

26.

Carvalho, A.R.R., Reid, A.J.S., Hope, J.J.: Controlling entanglement by direct quantum feedback. Phys. Rev. A 78, 012334 (2008)ADSCrossRef

27.

Shao, X.Q., Zheng, T.Y., Zhang, S.: Engineering steady three-atom singlet states via quantum-jump-based feedback. Phys. Rev. A 85, 042308 (2012)ADSCrossRef

28.

Wang, J., Wiseman, H.M., Milburn, G.J.: Dynamical creation of entanglement by homodyne-mediated feedback. Phys. Rev. A 71, 042309 (2005)ADSCrossRef

29.

Stevenson, R.N., Hope, J.J., Carvalho, A.R.R.: Engineering steady states using jump-based feedback for multipartite entanglement generation. Phys. Rev. A 84, 022332 (2011)ADSCrossRef

30.

Carvalho, A.R.R., Hope, J.J.: Stabilising entanglement by quantum jump-based feedback. Phys. Rev. A 76, 010301(R) (2007)MathSciNetADSCrossRef

31.

Pan, J.W., Simon, C., Brukner, Č., Zeilinger, A.: Entanglement purification for quantum communication. Nature (London) 410, 1067 (2001)ADSCrossRef

32.

Scully, M.O., Zubairy, M.S.: Quantum Optics. Cambridge University Press, Cambridge (1997)CrossRef

33.

Ticozzi, F., Viola, L.: Analysis and synthesis of attractive quantum Markovian dynamics. Automatica 45, 2002–2009 (2009)MathSciNetCrossRefMATH

34.

Schirmer, S.G., Wang, X.: Stabilizing open quantum systems by Markovian reservoir engineering. Phys. Rev. A 81, 062306 (2010)ADSCrossRef

35.

Nußmann, S., Hijlkema, M., Weber, B., Rohde, F., Rempe, G., Kuhn, A.: Submicron positioning of single atoms in a microcavity. Phys. Rev. Lett. 95, 173602 (2005)ADSCrossRef

36.

Fushman, I., Englund, D., Faraon, A., Stoltz, N., Petroff, P., Vučković, J.: Controlled phase shifts with a single quantum dot. Science 320, 769–772 (2008)ADSCrossRef

37.

Dayan, B., Parkins, A.S., Aoki, T., Ostby, E.P., Vahala, K.J., Kimble, H.J.: A photon turnstile dynamically regulated by one atom. Science 319, 1062–1065 (2008)ADSCrossRef

Title: Generation of steady three- and four-dimensional entangled states via quantum-jump-based feedback
Authors: Qi-Cheng Wu
Xin Ji
Publication date: 01-10-2013
Publisher: Springer US
Published in: Quantum Information Processing / Issue 10/2013
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-013-0592-y

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