Prospects for fast Rydberg gates on an atom chip

Quantum Information Processing

Volumn 10, Issue 6, 2011, Pages 771-792

  Müller, Matthias M ^a   Haakh, Harald R ^b   Calarco, Tommaso ^a   Koch, Christiane P ^c   Henkel, Carsten ^b  

^a UNIVERSITY OF ULM   (Germany)

^b UNIVERSITY OF POTSDAM   (Germany)

^c UNIVERSITY OF KASSEL   (Germany)

Author keywords

Cavity quantum electro dynamics; Optimal control; Phase gate; Rydberg atoms

Indexed keywords

ATOM CHIPS; CAVITY QUANTUM ELECTRO DYNAMICS; CHIP SURFACES; GATE ERRORS; HIGH FIDELITY; OPTIMAL CONTROL THEORY; OPTIMAL CONTROLS; PHASE GATES; QUANTUM-INFORMATION PROCESSING; RYDBERG; RYDBERG ATOMS; SCALABLE ARCHITECTURES; TWO-QUBIT GATES;

CONTROL; DATA PROCESSING; OPTIMIZATION; QUANTUM OPTICS; RYDBERG STATES;

ATOMS;

EID: 80755135380     PISSN: 15700755     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11128-011-0296-0     Document Type: Article

References (62)

1. Zoller, P., Beth, T., Binosi, D., Blatt, R., Briegel, H., Bruss, D., Calarco, T., Cirac, J., Deutsch, D., Eisert, J., Ekert, A., Fabre, C., Gisin, N., Grangier, P., Grassl, M., Haroche, S., Imamoglu, A., Karlson, A., Kempe, J., Kouwenhoven, L., Kröll, S., Leuchs, G., Lewenstein, M., Loss, D., Lütkenhaus, N., Massar, S., Mooij, J., Plenio,M., Polzik, E., Popescu, S., Rempe, G., Sergienko, A., Suter, D., Twamley, J., Wendin, G., Werner, R., Winter, A., Wrachtrup, J., Zeilinger, A.: Quantum information processing and communication: Strategic report on current status, visions and goals for research in Europe. Eur. Phys. J. D 36(2), 203 (2005)
2. Nielsen, M., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
3. Brennen, G.K., Caves, C.M., Jessen, P.S., Deutsch, I.H.: Quantum logic gates in optical lattices. Phys. Rev. Lett. 82(5), 1060 (1999)
4. Jaksch, D., Briegel, H.J., Cirac, J.I., Gardiner, C.W., Zoller, P.: Entanglement of atoms via cold controlled collisions. Phys. Rev. Lett. 82(9), 1975 (1999)
5. Calarco, T., Hinds, E.A., Jaksch, D., Schmiedmayer, J., Cirac, J.I., Zoller, P.: Quantum gates with neutral atoms: Controlling collisional interactions in time-dependent traps. Phys. Rev. A61, 022304 (2000)
6. Jaksch, D., Cirac, J.I., Zoller, P., Rolston, S.L., Cǒté, R., Lukin, M.D.: Fast quantum gates for neutral atoms. Phys. Rev. Lett. 85(10), 2208 (2000)
7. Buchkremer, F.B.J., Dumke, R., Volk, M., Müther, T., Birkl, G., Ertmer, W.: Quantum information processing with microfabricated optical elements, Laser Phys. 12(4), 736 (2002) http://www.maik.ru/ contents/lasphys/ lasphys4-2v12cont.htm
8. Sørensen, A.S., van derWal, C.H., Childress, L.I., Lukin, M.D.: Capacitive coupling of atomic systems to mesoscopic conductors. Phys. Rev. Lett. 92, 063601 (2004)
9. Cirone, M.A., Negretti, A., Calarco, T., Krüger, P., Schmiedmayer, J.: A simple quantum gate with atom chips. Eur. Phys. J. D 35(1), 165 (2005)
10. Treutlein, P., Hänsch, T.W., Reichel, J., Negretti, A., Cirone, M.A., Calarco, T.: Microwave potentials and optimal control for robust quantum gates on an atom chip. Phys. Rev. A 74, 022312 (2006)
11. Müller, M., Lesanovsky, I., Weimer, H., Buchler, H.P., Zoller, P.: Mesoscopic Rydberg gate based on electromagnetically induced transparency. Phys. Rev. Lett. 102, 170502 (2009)
12. Somlói, J., Kazakov, V.A., Tannor, D.J.: Controlled dissociation of I2 via optical transitions between the x and b electronic states. Chem. Phys. 172, 85 (1993)
13. Zhu, W., Botina, J., Rabitz, H.: Rapidly convergent iteration methods for quantum optimal control of population. J. Chem. Phys. 108(5), 1953 (1998)
14. Palao, J.P., Kosloff, R.: Quantum computing by an optimal control algorithm for unitary transformations. Phys. Rev. Lett. 89, 188301 (2002)
15. Tesch, C.M., de Vivie-Riedle, R.: Quantum computation with vibrationally excited molecules. Phys. Rev. Lett. 89, 157901 (2002)
16. Palao, J.P., Kosloff, R.: Optimal control theory for unitary transformations. Phys. Rev. A 68, 062308 (2003)
17. Caneva, T., Murphy,M., Calarco, T., Fazio,R., Montangero, S., Giovannetti,V., Santoro, G.E.: Optimal control at the quantum speed limit. Phys. Rev. Lett. 103, 240501 (2009)
18. 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)
19. Wilk, T., Gaëtan, A., Evellin, C., Wolters, J., Miroshnychenko, Y., Grangier, P., Browaeys, A.: Entanglement of two individual neutral atoms using Rydberg blockade. Phys. Rev. Lett. 104, 010502 (2010)
20. Saffman, M., Walker, T.G., Mølmer, K.: Quantum information with Rydberg atoms. Rev. Mod. Phys. 82(3), 2313 (2010)
21. Müller, M.M., Reich, D.M., Murphy, M., Yuan, H., Vala, J., Whaley, K.B., Calarco, T., Koch, C.P.: Getting the best two-qubit gate for a real physical system (2011). ArXiv:1104.2337
22. Goerz, M.H., Calarco, T., Koch, C.P.: The quantum speed limit of optimal controlled phasegates for trapped neutral atoms. J. Phys. B 44, 154011 (2011)
23. Folman, R., Krüger, P., Schmiedmayer, J., Denschlag, J.H., Henkel, C.:Microscopic atom optics: From wires to an atom chip. Adv. At. Mol. Opt. Phys. 48, 263 (2002)
24. Fortágh, J., Zimmermann, C.: Magnetic microtraps for ultracold atoms. Rev. Mod. Phys. 79(1), 235 (2007)
25. Reichel, J., Vuletíc, V. (eds.): Atom Chips. Wiley, Amsterdam (2011)
26. Kübler, H., Shaffer, J.P., Baluktsian, T., Löw, R., Pfau, T.: Coherent excitation of Rydberg atoms in micrometre-sized atomic vapour cells. Nat. Photonics 4(2), 112 (2010)
27. Tauschinsky, A., Thijssen, R.M.T., Whitlock, S., van Linden van den Heuvell, H.B., Spreeuw, R.J.C.: Spatially resolved excitation of Rydberg atoms and surface effects on an atom chip. Phys. Rev. A 81, 063411 (2011); see also the paper by V. Y. F. Leung et al. in this special issue
28. Treutlein, P., Hommelhoff, P., Steinmetz, T., Hänsch, T.W., Reichel, J.: Coherence in microchip traps. Phys. Rev. Lett. 92, 203005 (2004).
29. Erratum Phys. Rev. Lett. 93, 219904(E) (2004)
30. Gaëtan, A., Miroshnychenko, Y., Wilk, T., Chotia, A., Vitaeu, M., Comparat, D., Pillet, P., Browaeys, A., Grangier, P.: Observation of collective excitation of two individual atoms in the Rydberg blockaDeregime. Nat. Phys. 5, 115 (2009)
31. Kosloff, R.: Propagation methods for molecular dynamics. Annu. Rev. Phys. Chem. 45, 145 (1994)
32. Lesanovsky, I., Schmelcher, P.: Selected aspects of the quantum dynamics and electronic structure of atoms in magnetic microtraps. Eur. Phys. J. D 35(1), 31 (2005)
33. Bill, J., Trappe, M.I., Lesanovsky, I., Schmelcher, P.: Resonant quantum dynamics of neutral spin-1 particles in a magnetic guide. Phys. Rev. A 73, 053609 (2006)
34. Bartana, A., Kosloff, R., Tannor, D.J.: Laser cooling of internal degrees of freedom. II. J. Chem. Phys. 106(4), 1435 (1997)
35. Ohtsuki, Y., Zhu, W., Rabitz, H.: Monotonically convergent algorithm for quantum optimal control with dissipation. J. Chem. Phys. 110(20), 9825 (1999)
36. Palao, J.P., Kosloff, R., Koch, C.P.: Protecting coherence in optimal control theory: State dependent constraint approach. Phys. Rev. A 77, 063412 (2008)
37. Ndong, M., Tal-Ezer, H., Kosloff, R., Koch, C.P.: Propagator for inhomogeneous Schrödinger equations. J. Chem. Phys. 130, 124108 (2009)
38. Saffman, M., Zhang, X.L., Gill, A.T., Isenhower, L., Walker, T.G.: Rydberg state mediated quantum gates and entanglement of pairs of neutral atoms. J. Phys. Conf. Ser. 264, 012023 (2011)
39. McGuirk, J.M.,Harber, D.M., Obrecht, J.M.,Cornell, E.A.: Alkali-metal adsorbate polarization on conducting and insulating surfaces probedwith bose-einstein condensates. Phys. Rev.A69, 062905 (2004)
40. Gallagher, T.F.: Rydberg atoms. Rep. Prog. Phys. 51(2), 143 (1988)
41. Carter, J.D., Martin, J.D.D.: Energy shifts of Rydberg atoms due to patch fields near metal surfaces. Phys. Rev. A 83, 032902 (2011)
42. Walker, T.G., Saffman, M.: Zeros of Rydberg-Rydberg Fö(r)ster interactions. J. Phys. B 38(2), S309 (2005)
43. Lorenzen, C.J., Niemax, K.: Quantum defects of the n 2p1/2,3/2 levels in 39 K I and 85 Rb I. Phys. Scr. 27, 300 (1983)
44. Li,W., Mourachko, I., Noel, M.,Gallagher,T.:Millimeter-wave spectroscopy of coldRbRydberg atoms in amagneto-optical trap: Quantum defects of the ns, np, and nd series. Phys. Rev. A 67, 052502 (2003)
45. Dubessy, R., Coudreau, T., Guidoni, L.: Electric field noise above surfaces: A model for heating rate scaling law in ion traps. Phys. Rev. A 80, 031402(R) (2009)
46. Henkel, C.,Wilkens, M.:Heating of trapped atoms near thermal surfaces.Europhys.Lett. 47, 414 (1999)
47. Turchette, Q.A., Kielpinski, D., King, B.E., Leibfried, D., Meekhof, D.M., Myatt, C.J., Rowe, M.A., Sackett, C.A.,Wood, C.S., Itano,W.M.,Monroe, C.,Wineland, D.J.: Heating of trapped ions from the quantum ground state. Phys. Rev. A 61, 063418 (2000)
48. Labaziewicz, J., Ge, Y., Leibrandt, D.R.,Wang, S.X., Shewmon, R., Chuang, I.L.: Temperature dependence of electric field noise above gold surfaces. Phys. Rev. Lett. 101, 180602 (2008)
49. Leibrandt, D., Yurke, B., Slusher, R.: Modeling ion trap thermal noise decoherence. Quantum Inf. Comput. 7(1-2), 52 (2007)
50. Deslauriers, L., Olmschenk, S., Stick, D., Hensinger, W.K., Sterk, J., Monroe, C.: Scaling and suppression of anomalous quantum decoherence in ion traps. Phys. Rev. Lett. 97, 103007 (2006)
51. Epstein, R.J., Seidelin, S., Leibfried, D.,Wesenberg, J.H., Bollinger, J.J., Amini, J.M., Blakestad, R.B., Britton, J., Home, J.P., Itano, W.M., Jost, J.D., Knill, E., Langer, C., Ozeri, R., Shiga, N., Wineland, D.J.: Simplified motional heating rate measurements of trapped ions. Phys. Rev. A 76, 033411 (2007)
52. Daniilidis, N., Narayanan, S., Möller, S.A., Clark, R., Lee, T.E., Leek, P.J., Wallraff, A., Schulz, S., Schmidt-Kaler, F., Häffner, H.: Fabrication and heating rate study of microscopic surface electrode ion traps. New J. Phys. 13, 013032 (2011)
53. Purcell, E.M.: Spontaneous emission probabilities at radio frequencies. Phys. Rev. 69, 681 (1946)
54. Crosse, J.A., Ellingsen, S.Å., Clements, K., Buhmann, S.Y., Scheel, S.: Thermal Casimir-Polder shifts in Rydberg atoms near metallic surfaces, Phys. Rev. A 82, 010901(R) (2010).
55. Erratum Phys. Rev. A 82, 029902 (2010)
56. Ellingsen, S.A., Buhmann, S.Y., Scheel, S.: Temperature-invariant Casimir-Polder forces despite large thermal photon numbers. Phys. Rev. Lett. 104, 223003 (2010)
57. Theodosiou, C.E.: Lifetimes of alkali-metal-atom Rydberg states. Phys. Rev. A 30(6), 2881 (1984)
58. Wylie, J.M., Sipe, J.E.: Quantum electrodynamics near an interface. Phys. Rev. A 30(3), 1185 (1984)
59. Failache, H., Saltiel, S., Fischer, A., Bloch, D., Ducloy, M.: Resonant quenching of gas-phase Cs atoms induced by surface polaritons. Phys. Rev. Lett. 88, 243603 (2002)
60. Hyafil, P., Mozley, J., Perrin, A., Tailleur, J., Nogues, G., Brune, M., Raimond, J.M., Haroche, S.: Coherence-preserving trap architecture for long-term control of giant Rydberg atoms. Phys. Rev. Lett. 93, 103001 (2004)
61. Courtois, J.Y., Courty, J.M., Mertz, J.C.: Internal dynamics of multilevel atoms near a vacuum-dielectric interface. Phys. Rev. A 53, 1862 (1996)
62. Eberlein, C., Robaschik, D.: Inadequacy of perfect-reflector models in cavity qed for systems with low-frequency excitations. Phys. Rev. Lett. 92, 233602 (2004)