Phonon-mediated entanglement for trapped ion quantum computing

Reports on Progress in Physics

Volumn 73, Issue 3, 2010, Pages

  Soderberg, K A Brickman ^a   Monroe, C ^b  

^a UNIVERSITY OF CHICAGO   (United States)

^b Bldg 142   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77949329812     PISSN: 00344885     EISSN: None     Source Type: Journal    
DOI: 10.1088/0034-4885/73/3/036401     Document Type: Article

References (90)

1. Shannon C E 1948 A mathematical theory of communication Bell Syst. Tech. J. 27 379-423 623-656f
2. Turing A M 1936 On computable numbers, with an application to the entscheidungsproblem Proc. Lond. Math. Soc. 2 42 230
3. Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
4. Feynman R P 1981 Simulating physics with computers Int. J. Theor. Phys. 21 467-88
5. Deutsch D 1985 Quantum-theory, the Church-Turing principle and the universal quantum computer Proc. R. Soc. Lond. Ser. A-Math. Phys. Eng. Sci. 400 97-117
6. Deutsch D and Jozsa R 1992 Rapid solution of problems by quantum computation Proc. R. Soc. Lond. A-Math. Phys. Eng. Sci. 439 553-8
7. Shor P W 1997 Algorithm for fast factoring SIAM J. Comput. 26 1484
8. Shor P W 1995 Scheme for reducing decoherence in quantum computer memory Phys. Rev. A 52 R2493-6
9. Steane A 1996 Error correcting codes in quantum theory Phys. Rev. Lett. 77 793-6
10. Shor P W 1996 Fault-tolerant quantum computation Proc. 37th Annu. Symp. of Fundamentals of Computer Science (Burlington, VT, Oct. 1996) pp 56-65
11. Cirac J I and Zoller P 1995 Quantum computation with cold, trapped ions Phys. Rev. Lett. 74 4091-4
12. Monroe C, Meekhof D M, King B E, Itano W M and Wineland D J 1995 Demonstration of a fundamental quantum logic gate Phys. Rev. Lett. 75 4714-7
13. Divincenzo D P 2000 The physical implementation of quantum computation Fortschr. Phys. 48 771-83
14. Monroe C 2002 Quantum information processing with atoms and photons Nature 416 238-46
15. Wineland D and Blatt R 2008 Entangled states of trapped atomic ions Nature 453 1008-14
16. Vidal G and Werner R F 2002 Computable measure of entanglement Phys. Rev. A 65 032314
17. Eisert J and Plenio M B 1999 A comparison of entanglement measures J. Mod. Opt. 46 145
18. Peres A 1996 Separability criterion for density matrices Phys. Rev. Lett. 77 1413
19. Horodecki M, Horodecki P and Horodecki R 1996 Separability of mixed states: necessary and sufficient conditions Phys. Lett. A 223 1
20. Wootters W K 1998 Entanglement of formation of an arbitrary state of two qubits Phys. Rev. Lett. 80 2245-8
21. Hill S and Wootters W K 1997 Entanglement of a pair of quantum bits Phys. Rev. Lett. 78 5022-5
22. Sasura M and Buzek V 2002 Cold trapped ions as quantum information processors Phys. Rev. Lett. 49 1593-647
23. Leibfried D, Blatt R, Monroe C and Wineland D 2003 Quantum dynamics of single trapped ions Rev. Mod. Phys. 75 281-324
24. Paul W, Osberghaus O and Fischer E 1958 Forsch. Wirtsch. Verkehrsminist. Nordrhein-Westfal. 415 1
25. Dehmelt H G 1962 Paramagnetic resonance reorientation of atoms and ions aligned by electron impact Phys. Rev. 103 1125
26. Dehmelt H G 1967 Radiofrequency spectroscopy of stored ions: I. Storage Adv. At. Mol. Phys. 3 53-72
27. Paul W 1990 Electromagnetic traps for charged and neutral particles Rev. Mod. Phys. 62 531-40
28. Jefferts S R, Monroe C, Barton A S and Wineland D J 1995 Paul trap for optical frequency standards IEEE Trans. Instrum. Meas. 44 148
29. Wineland D J and Itano W M 1979 Laser cooling of atoms Phys. Rev. A 20 1521-40
30. Madsen M 2006 Advanced ion trap development and ultrafast laser-ion interactions PhD Thesis The University of Michigan
31. Roos Ch, Zeiger Th, Nägerl H C, Eschner J, Leibfried D, Schmidt-Kaler F and Blatt R 1999 Quantum state engineering on an optical transiton and decoherence in a Paul trap Phys. Rev. Lett. 83 4713
32. + Phys. Rev. A 62 032503
33. Wunderlich Chr, Hannemann Th, Körber T, Häffner H, Roos Ch, Hänsel W, Blatt R and Schmidt-Kaler F 2005 Robust state preparation of a single trapped ion by adiabatic passage arXiv:quant-ph/0508159v1
34. McDonnell M J, Stacey J-P, Home J P, Ramos A, Lucas D M, Stacey D N and Steane A M 2004 High-efficiency detection of a single quantum of angular momentum by suppression of optical pumping Phys. Rev. Lett. 93 153601
35. 5/2 transition of a trapped calcium ion in a linear Paul trap Phys. Rev. A 61 023405
36. + ions J. Phys. B: At. Mol. Opt. Phys. 36 623
37. Acton M, Brickman K-A, Haljan P C, Lee P J, Deslauriers L and Monroe C 2006 Near-perfect simultaneous measurement of a qubit register Quantum Inform. Comput. 6 465-82
38. Blinov B B, Leibfried D, Monroe C and Wineland D J 2004 Quantum computing with trapped ion hyperfine qubits Quantum Inform. Process. 2 45
39. Diedrich F, Berquist J C, Itano W M and Wineland D J 1989 Laser cooling to the zero-point energy of motion Phys. Rev. Lett. 62 403-6
40. Deslauriers L, Haljan P C, Lee P J, Brickman K-A, Blinov B B, Madsen M J and Monroe C 2004 Zero-point cooling and low heating of trapped Cd ions Phys. Rev. A 70 043408
41. + isotopes Phys. Rev. A 65 040304
42. + for quantum logic Phys. Rev. A 68 042302
43. Rohde H, Gulde S T, Roos C F, Barton P A, Leibfried D, Eschner J, Schmidt-Kaler F and Blatt R 2001 Sympathetic ground-state cooling and coherent manipulation with two-ion crystals J. Opt. B: Quantum Semiclass. Opt. 3 S34-S41
44. Hensinger W, Olmschenk S, Stick D, Hucul D, Yeo M, Acton M, Deslauriers L, Monroe C and Rabchuk J 2006 T-junction ion trap array for two-dimensional ion shuttling, storage, and manipulation Appl. Phys. Lett. 88 034101
45. Wineland D J, Monroe C, Itano W M, Leibfried D, King B E and Meekhof D M 1998 Experimental issues in coherent quantum-state manipulation of trapped atomic ions J. Res. Natl Inst. Stand. Technol. 103 259-328
46. Kielpinski D, Monroe C and Wineland D J 2002 Architecture for a large-scale ion-trap quantum computer Nature 417 709-11
47. Leibfried D, Knill E, Ospelkaus C and Wineland D J 2007 Transport quantum logic gates for trapped ions Phys. Rev. A (At. Mol. Opt. Phys.) 76 032324
48. Sakurai J J 1993 Modern Quantum Mechanics (Reading, MA: Addison-Wesley)
49. Metcalf H J and van der Straten P 2002 Laser Cooling and Trapping (Berlin: Springer)
50. Lee P J, Brickman K A, Deslauriers L, Haljan P C, Duan L M and Monroe C 2005 Phase control of trapped ion quantum gates J. Opt. B: Quantum Semiclass. Opt. 7 S371-83
51. Ozeri R et al 2005 Hyperfine coherence in the presence of spontaneous photon scattering Phys. Rev. Lett. 95 030403
52. Milburn G J, Schneider S and James D F V 2000 Ion trap quantum computing with warm ions Fortschr. Phys. 48 9-11 801-10
53. Mølmer K and Sørensen A 1999 Multiparticle entanglement of hot trapped ions Phys. Rev. Lett. 82 1835-8
54. Leibfried D et al 2003 Experimental demonstration of a robust, high-fidelity geometric two ion-qubit phase gate Nature 422 412-5
55. Haljan P C, Brickman K-A, Deslauriers L, Lee P J and Monroe C 2005 Spin-dependent forces on trapped ions for phase-stable quantum gates and motional Schrödinger cat states Phys. Rev. Lett. 94 153602
56. Haljan P C, Lee P J, Brickman K-A, Acton M, Deslauriers L and Monroe C 2005 Entanglement of trapped-ion clock states Phys. Rev. A (At. Mol. Opt. Phys.) 72 062316
57. Turchette Q A et al 2000 Heating of trapped ions from the quantum ground state Phys. Rev. A 61 063418
58. Deslauriers L, Olmschenk S, Stick D, Hensinger W K, Sterk J and Monroe C 2006 Scaling and suppression of anomalous heating in ion traps Phys. Rev. Lett. 97 103007
59. Labaziewicz J, Ge Y, Antohi P, Leibrandt D, Brown K R and Chuang I L 2008 Suppression of heating rates in cryogenic surface-electrode ion traps Phys. Rev. Lett. 100 013001
60. Stick D, Hensinger W, Olmschenk S, Madsen M, Schwab K and Monroe C 2006 Ion trap in a semiconductor chip Nature Phys. 2 36-9
61. Seidelin S et al 2006 Microfabricated surface-electrode ion trap for scalable quantum information processing Phys. Rev. Lett. 96 253003
62. Grover L 1997 Quantum mechanics helps in searching for a needle in a haystack Phys. Rev. Lett. 79 325
63. Schmidt-Kaler F, Häffner H, Riebe M, Gulde S, Lancaster G P T, Deuschle T, Becher C, Roos C F, Eschner J and Blatt R 2003 Realization of the Cirac-Zoller controlled-not quantum gate Nature 422 408-11
64. Gulde S, Riebe M, Lancaster G P T, Becher C, Eschner J, Häffner H, Schmidt-Kaler F, Chuang I L and Blatt R 2003 Implementation of the Deutsch-Jozsa algorithm on an ion-trap quantum computer Nature 421 48-50
65. Riebe M et al 2004 Deterministic quantum teleportation with atoms Nature 429 734-7
66. Barrett M D et al 2004 Deterministic quantum teleportation of atomic qubits Nature 429 737-9
67. Chiaverini J et al 2005 Implementation of the semiclassical quantum Fourier transform in a scalable system Science 308 997-1000
68. Griffiths R B and Niu C-S 1996 Semiclassical Fourier transform for quantum computation Phys. Rev. Lett. 76 3228-31
69. Schaetz T, Barrett M D, Leibfried D, Chiaverini J, Britton J, Itano W M, Jost J D, Langer C and Wineland D J 2004 Quantum dense coding with atomic qubits Phys. Rev. Lett. 93 040505
70. Brassard G 1997 Searching a quantum phone book Science 275 627-8
71. Grover L K 1998 A framework for fast quantum mechanical algorithms Proc. 20th ACM Symp. Theory of Computing (Dallas, TX, 24-26 May 1998) (New York: ACM) pp 53-62
72. Brickman K-A, Haljan P, Lee P J, Acton M, Deslauriers L and Monroe C 2005 Implementation of Grover's quantum search algorithm in a scalable system Phys. Rev. A 72 050306 (R)
73. Boyer M, Brassard G, Hoyer P and Tapp A 1998 Tight bounds of quantum searching Fortschr. Phys. 46 493
74. Leibfried D et al 2005 Creation of a six-atom 'Schrödinger cat' state Nature 438 639
75. Häffner H et al 2005 Scalable multiparticle entanglement of trapped ions Nature 438 643-6
76. Benhelm J, Kirchmair G, Roos C F and Blatt R 2008 Towards fault-tolerant quantum computing with trapped ions Nature Phys. 4 463-6
77. Monz T, Kim K, Hansel W, Riebe M, Villar A S, Schindler P, Chwalla M, Hennrich M and Blatt R 2009 Realization of the quantum toffoli gate with trapped ions Phys. Rev. Lett. 102 040501
78. Ospelkaus C, Langer C E, Amini J M, Brown K R, Leibfried D and Wineland D J 2008 Trapped-ion quantum logic gates based on oscillating magnetic fields Phys. Rev. Lett. 101 090502
79. Kim J, Pau S, Ma Z, McLellan H R, Gates J V, Kornblit A, Slusher R E, Jopson R M, Kang I and Dinu M 2005 System design for large-scale ion trap quantum information processor Quant. Inform. Comput. 5 515
80. Kim J and Kim C 2009 Integrated optical approach to trapped ion quantum computation Quantum Inform. Comput. 9 181
81. Luo L, Hayes D, Manning T A, Matsukevich D N, Maunz P, Olmschenk S, Sterk J D and Monroe C 2009 Protocols and techniques for a scalable atom-photon quantum network Fortschr. Phys. 57 1133
82. Knill E 2005 Quantum computing with realistically noisy devices Nature 434 39
83. Raussendorf R and Harrington J 2007 Fault-tolerant quantum computation with high threshold in two dimensions Phys. Rev. Lett. 98 190504
84. Reichardt B W 2004 Improved ancilla preparation scheme increases fault-tolerant threshold arXiv:quant-ph/0406025v1
85. Chiaverini J et al 2004 Realization of quantum error correction Nature 432 602
86. Schmidt P O, Rosenband T, Langer C, Itano W M, Berquist J C and Wineland D J 2005 Spectroscopy using quantum logic Science 309 749
87. + single-ion optical clocks; metrology at the 17th decimal place Science 319 1808
88. Lloyd S 1996 Universal quantum simulators Science 273 1073
89. Friedenauer A, Schmitz H, Glueckert J T, Porras D and Schaetz T 2008 Simulating a quantum magnet with trapped ions Nature Phys. 4 757
90. Kim K, Chang M-S, Islam R, Korenblit S, Duan L-M and Monroe C 2009 Entanglement and tunable spin-spin couplings between trapped ions using multiple transverse modes Phys. Rev. Lett. 103 120502