Generation of continuous variable squeezing and entanglement of trapped ions in time-varying potentials

Quantum Information Processing

Volumn 8, Issue 6, 2009, Pages 619-630

  Serafini, Alessio ^a   Retzker, Alex ^b,c   Plenio, Martin B ^b,c  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

^c UNIVERSITY OF ULM   (Germany)

Author keywords

Control; Entanglement; Ion traps

Indexed keywords

CONTINUOUS VARIABLES; DEGREES OF FREEDOM; ENTANGLEMENT; ION TRAPS; OPTICAL CONTROL; OSCILLATING POTENTIAL; TIME VARYING; TIME-SCALES; TRANSIENT DYNAMICS; TRAPPED ION;

TIME VARYING SYSTEMS;

IONS;

EID: 70450280753     PISSN: 15700755     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11128-009-0141-x     Document Type: Article

References (33)

1. J. Eisert M.B. Plenio 2003 Introduction to the basics of entanglement theory in continuous-variable systems Int. J. Quant. Inf. 1 479 506 1069.81508 10.1142/S0219749903000371
2. S.L. Braunstein P. van Loock 2005 Quantum information with continuous variables Rev. Mod. Phys. 77 513 577 10.1103/RevModPhys.77.513 2005RvMP...77..513B (Pubitemid 41491330)
3. Y. Takeno M. Yukawa H. Yonezawa A. Furusawa 2007 Observation of -9 dB quadrature squeezing with improvement of phase stability in homodyne measurement Opt. Express 15 4321 4327 10.1364/OE.15.004321 19532677 2007OExpr..15.4321T (Pubitemid 46557595)
4. H. Vahlbruch M. Mehmet S. Chelkowski B. Hage A. Franzen N. Lastzka S. Goler K. Danzmann R. Schnabel 2008 Observation of squeezed light with 10-dB quantum-noise reduction Phys. Rev. Lett. 100 033602 10.1103/PhysRevLett.100. 033602 18232978 2008PhRvL.100c3602V (Pubitemid 351161755)
5. J. Laurat G. Keller J.A. Oliveira-Huguenin C. Fabre T. Coudreau A. Serafini G. Adesso F. Illuminati 2005 Entanglement of two-mode Gaussian states: characterization and experimental production and manipulation J. Opt. B: Quantum Semiclass. Opt. 7 S577 S587 10.1088/1464-4266/7/12/021 2005JOptB...7S.577L
6. B. Julsgaard J. Sherson J.I. Cirac J. Fiuráŝek E.S. Polzik 2004 Experimental demonstration of quantum memory for light Nature 432 482 486 10.1038/nature03064 1:CAS:528:DC%2BD2cXhtVWitbvK 15565148 2004Natur.432..482J (Pubitemid 39576525)
7. J.F. Sherson H. Krauter R.K. Olsson B. Julsgaard K. Hammerer I. Cirac E.S. Polzik 2006 Quantum teleportation between light and matter Nature 443 557 560 10.1038/nature05136 1:CAS:528:DC%2BD28XhtVCiu7zP 17024089 2006Natur.443..557S (Pubitemid 44527288)
8. D.J. Heinzen D.J. Wineland 1990 Quantum-limited cooling and detection of radio-frequency oscillations by laser-cooled ions Phys. Rev. A 42 2977 10.1103/PhysRevA.42.2977 1:CAS:528:DyaK3cXls1ajs70%3D 9904368 1990PhRvA..42.2977H
9. D.M. Meekhof C. Monroe B.E. King W.M. Itano D.J. Wineland 1996 Generation of nonclassical motional states of a trapped atom Phys. Rev. Lett. 76 1796 1799 10.1103/PhysRevLett.76.1796 1:CAS:528:DyaK28XhsV2htbY%3D 10060523 1996PhRvL..76.1796M (Pubitemid 126638869)
10. S. Wallentowitz W. Vogel 1995 Reconstruction of the quantum mechanical state of a trapped ion Phys. Rev. Lett. 75 2932 2935 10.1103/PhysRevLett.75.2932 1:CAS:528:DyaK2MXoslWnsLk%3D 10059446 1995PhRvL..75.2932W
11. J.F. Poyatos R. Walser J.I. Cirac P. Zoller R. Blatt 1996 Motion tomography of a single trapped ion Phys. Rev. A 53 4 R1966 R1969 10.1103/PhysRevA.53.R1966 1:CAS:528:DyaK28XitFSrsL0%3D 9913226 1996PhRvA..53.1966P
12. P.J. Bardroff C. Leichtle G. Schrade W.P. Schleich 1996 Endoscopy in the paul trap: measurement of the vibratory quantum state of a single ion Phys. Rev. Lett. 77 2198 2201 10.1103/PhysRevLett.77.2198 1:CAS:528:DyaK28XlsV2nsrY%3D 10061883 1996PhRvL..77.2198B
13. C. Monroe D.M. Meekhof B.E. King W.M. Itano D.J. Wineland 1995 Demonstration of a fundamental quantum logic gate Phys. Rev. Lett. 75 4714 4717 1020.81550 10.1103/PhysRevLett.75.4714 1:CAS:528:DyaK28Xlt1Sh 10059979 1362037 1995PhRvL..75.4714M
14. D.J. Wineland C. Monroe W.M. Itano D. Leibfried B.E. King D.M. Meekhof 1998 Experimental issues in coherent quantum-state manipulation of trapped atomic ions J. Res. Natl. Inst. Stand. Technol. 103 259 328 1:CAS:528: DyaK1cXntlKks7s%3D
15. F. Schmidt-Kaler H. Häffner M. Riebe S. Gulde G.P.T. Lancaster Th. Deuschle Ch. Becher Ch.F. Roos J. Eschner R. Blatt 2003 Realization of the Cirac-Zoller controlled-NOT quantum gate Nature 422 408 411 10.1038/nature01494 1:CAS:528:DC%2BD3sXitlGgtb4%3D 12660777 2003Natur.422..408S (Pubitemid 36411389)
16. X.M.H. Huang C.A. Zorman M. Mahregany M.L. Roukes 2003 Nanoelectromechanical systems: nanodevice motion at microwave frequencies Nature 421 496 10.1038/421496a 1:CAS:528:DC%2BD3sXntFSkug%3D%3D 2003Natur.421..496H
17. J. Eisert M.B. Plenio S. Bose J. Hartley 2004 Towards quantum entanglement in nanoelectromechanical devices Phys. Rev. Lett. 93 190402 10.1103/PhysRevLett.93.190402 1:STN:280:DC%2BD2cnislequg%3D%3D 15600813 2004PhRvL..93s0402E
18. M.J. Hartmann M.B. Plenio 2008 Steady state entanglement in the mechanical vibrations of two dielectric membranes Phys. Rev. Lett. 101 200503 10.1103/PhysRevLett.101.200503 19113323 2008PhRvL.101t0503H
19. J.D. Jost J.P. Home J.M. Amini D. Hanneke R. Ozeri C. Langer J.J. Bollinger D. Leibfried D.J. Wineland 2009 Entangled mechanical oscillators Nature 459 683 685 10.1038/nature08006 1:CAS:528:DC%2BD1MXmvVWgt7o%3D 19494911 2009Natur.459..683J
20. S.L. Zhu C. Monroe L.M. Duan 2006 Trapped ion quantum computation with transverse phonon modes Phys. Rev. Lett. 97 050505 10.1103/PhysRevLett.97.050505 17026088 2006PhRvL..97e0505Z (Pubitemid 44188132)
21. Roos, C.F., Monz, T., Kim, K., Riebe, M., Haeffner, H., James, D.F.V., Blatt, R.: Nonlinear coupling of continuous variables at the single quantum level. Phys. Rev. A 77, 040302(R) [4 pages] (2008)
22. Serafini, A., Retzker, A., Plenio, M.B.: Manipulating the quantum information of the radial modes of trapped ions: linear phononics, entanglement generation, quantum state transmission and non-locality tests. New J. Phys. 11, 023007 (24 pp) (2009)
23. Ghosh P.K.: Ion Traps. Clarendon Press, Oxford (1995)
24. D.F.V. James 1998 Quantum dynamics of cold trapped ions with application to quantum computation Appl. Phys. B 66 181 190 10.1007/s003400050373 1:CAS:528:DyaK1cXntlOrtA%3D%3D 1998ApPhB..66..181J
25. H.G. Dehmelt 1967 Radiofrequency spectroscopy of stored ions. I: storage Adv. At. Mol. Opt. Phys. 3 53 72 1:CAS:528:DyaF1cXhtVOqsbs%3D
26. M.B. Plenio S. Virmani 2007 An introduction to entanglement measures Quantum Inf. Comp. 7 1 51 1152.81798 2302673
27. Ferraro, A., Olivares, S., Paris, M.G.A.: Gaussian states in continuous variable quantum information (Bibliopolis, Napoli, 2005); arXiv:quant-ph/0503237
28. J. Eisert M.B. Plenio 1999 A comparison of entanglement measures J. Mod. Opt. 46 145 154 1999JMOp...46..145E
29. J. Lee M.S. Kim Y.J. Park S. Lee 2000 Partial teleportation of entanglement in a noisy environment J. Mod. Opt. 47 2151 2164 1004.81505 10.1080/09500340008235138 1786272 2000JMOp...47.2151L
30. Vidal, G., Werner, R.F.: Computable measure of entanglement. Phys. Rev. A 65, 032314 [11 pages] (2002)
31. Plenio, M.B.: Logarithmic negativity: A full entanglement monotone that is not convex. Phys. Rev. Lett. 95, 090503 [4 pages] (2005)
32. A. Serafini F. Illuminati S. De Siena 2004 Symplectic invariants, entropic measures and correlations of Gaussian states J. Phys. B 37 L21 L28 10.1088/0953-4075/37/2/L02 1:CAS:528:DC%2BD2cXhs1CgtL4%3D 2004JPhB...37L..21S
33. Serafini, A., Retzker, A., Plenio, M.B.: (in preparation)