Bandwidth-limited control and ringdown suppression in high-Q resonators

Journal of Magnetic Resonance

Volumn 225, Issue , 2012, Pages 120-129

  Borneman, Troy W ^a,b   Cory, David G ^a,b,c  

^a Massachusetts Institute of Technology Cambridge   (United States)

^b UNIVERSITY OF WATERLOO   (Canada)

^c PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

Author keywords

Bandwidth limited control; High Q resonators; Optimal control theory; Pulsed electron spin resonance; Quantum information processing

Indexed keywords

CONTROL SEQUENCES; DEADTIME; HIGH QUALITY FACTORS; HIGH-Q RESONATORS; HYPERFINE COUPLING; INDUCTIVE MEASUREMENT; LINEAR-RESPONSE THEORY; MICROWAVE FIELD; OPTIMAL CONTROL THEORY; PULSE DESIGN; PULSE OPTIMIZATION; PULSED ELECTRON; QUANTUM OPERATIONS; QUANTUM-INFORMATION PROCESSING; SIGNALTONOISE RATIO (SNR); SPIN SYSTEMS; SYSTEM MODELS; TRANSIENT BEHAVIOR; UNIVERSAL CONTROL; WAVE FORMS;

BANDWIDTH; CONTROL; CONTROL THEORY; FREE RADICALS; OPTIMIZATION; SPIN DYNAMICS;

RESONATORS;

EID: 84869144812     PISSN: 10907807     EISSN: 10960856     Source Type: Journal    
DOI: 10.1016/j.jmr.2012.10.011     Document Type: Article

References (58)

1. A. Schweiger, and G. Jeschke Principles of Pulse Electron Paramagnetic Resonance 2001 Oxford University Press
2. A. Abragam The Principles of Nuclear Magnetism 1961 Oxford University Press
3. R. Crepeau, A. Dulic, J. Gorcester, T. Saarinen, and J. Freed Composite pulses in time-domain ESR J. Magn. Reson. 84 1 1989 184 190
4. G. Rinard, R. Quine, S. Eaton, and G. Eaton Frequency dependence of epr sensitivity Bio. Magn. Reson. 21 2004 115 154
5. J.P. Hornak, and J.H. Freed Spectral rotation in pulsed ESR spectroscopy J. Magn. Reson. 67 3 1986 501 518
6. J. Hodges, Engineering Coherent Control of Quantum Information in Spin Systems, Ph.D. Thesis, Massachusetts Institute of Technology; 2007.
7. G.A. Rinard, R.W. Quine, S.S. Eaton, G.R. Eaton, and W. Froncisz Relative benefits of overcoupled resonators vs inherently low-Q resonators for pulsed magnetic resonance J. Magn. Reson., Ser. A 108 1 1994 71 81
8. S. Lloyd A potentially realizable quantum computer Science 261 1993 1569 1571
9. M. Mehring, and J. Mende Spin-bus concept of spin quantum computing Phys. Rev. A 73 2006 052303
10. P. Cappellaro, L. Jiang, J. Hodges, and M. Lukin Coherence and control of quantum registers based on electronic spin in a nuclear spin bath Phys. Rev. Lett. 102 2009 210502
11. N. Yao, L. Jiang, A. Gorshkov, P. Maurer, G. Giedke, J. Cirac, and M. Lukin Scalable architecture for a room temperature solid-state quantum information processor Nat. Commun. 3 2012 800
12. T. Borneman, C. Granade, and D. Cory Parallel information transfer in a multinode quantum information processor Phys. Rev. Lett. 108 2012 140502
13. H. Malissa, D.I. Schuster, A.M. Tyryshkin, A.A. Houck, S.A. Lyon, Superconducting coplanar waveguide resonators for low temperature pulsed electron spin resonance spectroscopy, arXiv:1202.6305.
14. O. Benningshof, H. Mohebbi, I. Taminiau, G. Miao, D. Cory, Superconducting microstrip resonator for pulsed esr of thin films, J. Magn. Reson., submitted for publication.
15. Y. Twig, E. Dikarov, W. Hutchison, and A. Blank Note: high sensitivity pulsed electron spin resonance spectroscopy with induction detection Rev. Sci. Instrum. 82 2011 076105
16. L. Shtirberg, T. Twig, E. Dikarov, R. Halevy, M. Levit, and A. Blank High-sensitivity Q-band electron spin resonance imaging system with sub-micron resolution Rev. Sci. Instrum. 82 2011 043708
17. E. Suhovoy, R. Halevy, L. Shtirberg, and W. Harneit Esr imaging in solid phase down to sub-micron resolution: methodology and applications Phys. Chem. Chem. Phys. 11 2009 6689 6699
18. F. Motzoi, J.M. Gambetta, S.T. Merkel, and F.K. Wilhelm Optimal control methods for rapidly time-varying hamiltonians Phys. Rev. A 84 2011 022307
19. P.E. Spindler, Y. Zhang, B. Endeward, N. Gershernzon, T.E. Skinner, S.J. Glaser, and T.F. Prisner Shaped optimal control pulses for increased excitation bandwidth in EPR J. Magn. Reson. 218 2012 49 58
20. S.S. Eaton, and G.R. Eaton Irradiated fused-quartz standard sample for time-domain EPR J. Magn. Reson., Ser. A 102 3 1993 354 356
21. G.R. Eaton, S.S. Eaton, R.W. Quine, D. Mitchell, V. Kathirvelu, and R.T. Weber A signal-to-noise standard for pulsed EPR J. Magn. Reson. 205 1 2010 109 113
22. M. Mehring, and J.S. Waugh Phase transients in pulsed NMR spectrometers Rev. Sci. Instrum. 43 4 1972 649 653
23. T. Barbara, J. Martin, and J. Wurl Phase transients in nmr probe circuits J. Magn. Reson. 93 1991 497 508
24. K. Takeda, Y. Tabuchi, M. Negoro, and M. Kitagawa Active compensation of RF-pulse transients J. Magn. Reson. 197 2 2009 242 244
25. R. Vaughan, D. Elleman, L. Stacey, W.-K. Rhim, and J. Lee A simple, low power, multiple pulse nmr spectrometer Rev. Sci. Instrum. 43 1972 1356 1364
26. S. Zhang, X. Wu, and M. Mehring Elimination of ringing effects in multiple-pulse sequences Chem. Phys. Lett. 173 1990 481 484
27. A. Vega Controlling the effects of pulse transients and RF inhomogeneity in phase-modulated multiple-pulse sequences for homonuclear decoupling in solid-state proton nmr J. Magn. Reson. 170 2004 22 41
28. Y. Tabuchi, M. Negoro, K. Takeda, and M. Kitagawa Total compensation of pulse transients inside a resonator J. Magn. Reson. 204 2 2010 327 332
29. S. Soliman, and M. Srinath Continuous and Discrete Signals and Systems 1998 Prentice-Hall
30. D.I. Hoult, and Fast recovery high sensitivity NMR probe and preamplifier for low frequencies Rev. Sci. Instrum. 50 2 1979 193 200
31. M. Mehring Principles of High Resolution NMR in Solids 1983 Springer-Verlag
32. E.M. Fortunato, M.A. Pravia, N. Boulant, G. Teklemariam, T.F. Havel, and D.G. Cory Design of strongly modulating pulses to implement precise effective Hamiltonians for quantum information processing J. Chem. Phys. 116 17 2002 7599 7606
33. L. Pontryagin, B. Boltyanskii, R. Gamkrelidze, and E. Mishchenko The Mathematical Theory of Optimal Processes 1962 Wiley-Interscience New York
34. N. Khaneja, T. Reiss, C. Kehlet, T. Schulte-Herbrüggen, and S.J. Glaser Optimal control of coupled spin dynamics: design of NMR pulse sequences by gradient ascent algorithms J. Magn. Reson. 172 2 2005 296 305
35. M.K. Henry, C. Ramanathan, J.S. Hodges, C.A. Ryan, M.J. Ditty, R. Laflamme, and D.G. Cory Fidelity enhancement by logical qubit encoding Phys. Rev. Lett. 99 22 2007 220501
36. C.A. Ryan, C. Negrevergne, M. Laforest, E. Knill, and R. Laflamme Liquid-state nuclear magnetic resonance as a testbed for developing quantum control methods Phys. Rev. A 78 2008 012328
37. O. Moussa, J. Baugh, C.A. Ryan, and R. Laflamme Demonstration of sufficient control for two rounds of quantum error correction in a solid state ensemble quantum information processor Phys. Rev. Lett. 107 2011 160501
38. T. Borneman, M. Hürlimann, and D. Cory Application of optimal control to CPMG refocusing pulse design J. Magn. Reson. 207 2010 220 233
39. M. Tseitlin, R.W. Quine, G.A. Rinard, S.S. Eaton, and G.R. Eaton Digital EPR with an arbitrary waveform generator and direct detection at the carrier frequency J. Magn. Reson. 213 2011 119 125
40. P. Broekaert, and J. Jeener Suppression of radiation damping in nmr in liquids by active electronic feedback J. Magn. Reson. A113 1995 60
41. R. Kubo, and K. Tomita A general theory of magnetic resonance absorption J. Phys. Soc. Jpn 9 6 1954 888 919
42. G. Morris, and R. Freeman Selective excitation in fourier transform nuclear magnetic resonance J. Magn. Reson. 29 1978 433 462
43. D. Hoult The solution of the Bloch equations in the presence of a varying B1 field-an approach to selective pulse analysis J. Magn. Reson. 35 1979 69 86
44. A. Sodickson, and D. Cory A generalized k-space formalism for treating the spatial aspects of a variety of nmr experiments Prog. Nucl. Magn. Reson. Spect. 33 1998 77 108
45. D. D'Alessandro Introduction to Quantum Control and Dynamics 2007 CRC Chapman and Hall
46. V. Ramakrishna, M.V. Salapaka, M. Dahleh, H. Rabitz, and A. Peirce Controllability of molecular systems Phys. Rev. A 51 2 1995 960 966
47. S.G. Schirmer, H. Fu, and A.I. Solomon Complete controllability of quantum systems Phys. Rev. A 63 6 2001 063410
48. R. McCalley, and A. Kwiram Endor studies at 4.2 k of the radicals in malonic acid single crystals J. Phys. Chem. 97 1993 2888 2903
49. A. Heidebrecht, J. Mende, and M. Mehring Indirect detection of selective nuclear spin-spin interactions in a hostile environment Solid State Nucl. Magn. Reson. 29 2006 90 94
50. F. Jelezko, and J. Wrachtrup Single defect centres in diamond: a review Phys. State Solid A 203 2006 3207 3225
51. J.S. Hodges, J.C. Yang, C. Ramanathan, and D.G. Cory Universal control of nuclear spins via anisotropic hyperfine interactions Phys. Rev. A 78 1 2008 010303
52. N. Khaneja Switched control of electron nuclear spin systems Phys. Rev. A 76 3 2007 032326
53. E.C. Hoffman, M. Hubrich, and A. Schweiger Primary nuclear spin echoes in EPR induced by microwave pulses J. Magn. Reson., Ser. A 117 1 1995 16 27
54. Y. Zhang, C.A. Ryan, R. Laflamme, and J. Baugh Coherent control of two nuclear spins using the anisotropic hyperfine interaction Phys. Rev. Lett. 107 2011 170503
55. J. Wesenberg, A. Ardavan, G. Briggs, J. Morton, R. Schoelkopf, D. Schuster, and K. Molmer Quantum computing with an electron spin ensemble Phys. Rev. Lett. 103 2009 070502
56. Y. Kubo, I. Diniz, C. Grezes, T. Umeda, J. Isoya, H. Sumiya, T. Yamamoto, H. Abe, S. Onoda, T. Ohshima, V. Jacques, A. Dreau, J.-F. Roch, A. Auffeves, D. Vion, D. Esteve, and P. Bertet Electron spin resonance detected by a superconducting qubit Phys. Rev. B 86 2012 064514
57. N. Boulant, J. Emerson, T.F. Havel, D.G. Cory, and S. Furuta Incoherent noise and quantum information processing J. Chem. Phys. 121 7 2004 2955 2961
58. M.A. Pravia, N. Boulant, J. Emerson, A. Farid, E.M. Fortunato, T.F. Havel, R. Martinez, and D.G. Cory Robust control of quantum information J. Chem. Phys. 119 19 2003 9993 10001