메뉴 건너뛰기




Volumn 209, Issue 2, 2011, Pages 250-260

Numerical simulation of NQR/NMR: Applications in quantum computing

Author keywords

Average Hamiltonian; Density matrix; NMR; NQR; Numerical simulation; Quantum computing

Indexed keywords

AVERAGE HAMILTONIAN; DENSITY MATRIX; NMR; NQR; NUMERICAL SIMULATION; QUANTUM COMPUTING;

EID: 79953177790     PISSN: 10907807     EISSN: 10960856     Source Type: Journal    
DOI: 10.1016/j.jmr.2011.01.020     Document Type: Article
Times cited : (15)

References (57)
  • 1
    • 0034571935 scopus 로고    scopus 로고
    • SIMPSON: A general simulation program for solid-state NMR spectroscopy
    • M. Bak, J.T. Rasmussen, and N.C. Nielsen SIMPSON: a general simulation program for solid-state NMR spectroscopy J. Magn. Reson. 147 2000 296 330
    • (2000) J. Magn. Reson. , vol.147 , pp. 296-330
    • Bak, M.1    Rasmussen, J.T.2    Nielsen, N.C.3
  • 2
    • 0001876029 scopus 로고
    • Computer simulations in magnetic resonance. An object oriented programming approach
    • S.A. Smith, T.O. Levante, B.H. Meier, and R.R. Ernst Computer simulations in magnetic resonance. An object oriented programming approach J. Magn. Reson. 106 1994 75 105
    • (1994) J. Magn. Reson. , vol.106 , pp. 75-105
    • Smith, S.A.1    Levante, T.O.2    Meier, B.H.3    Ernst, R.R.4
  • 3
    • 0001595913 scopus 로고
    • SMART, a general purpose pulse experiment simulation program using numerical density matrix calculations
    • W. Studer SMART, a general purpose pulse experiment simulation program using numerical density matrix calculations J. Magn. Reson. 77 1988 424 438
    • (1988) J. Magn. Reson. , vol.77 , pp. 424-438
    • Studer, W.1
  • 4
    • 23844454924 scopus 로고    scopus 로고
    • MathNMR: Spin and spatial tensor manipulations in Mathematica
    • DOI 10.1016/j.jmr.2005.05.005, PII S1090780705001564
    • A. Jerschow MathNMR: spin and spatial tensor manipulations in Mathematica J. Magn. Reson. 176 2005 7 14 (Pubitemid 41162470)
    • (2005) Journal of Magnetic Resonance , vol.176 , Issue.1 , pp. 7-14
    • Jerschow, A.1
  • 14
    • 33750952500 scopus 로고    scopus 로고
    • A general numerical analysis of time-domain NQR experiments
    • DOI 10.1016/j.jmr.2006.06.033, PII S1090780706001984
    • E. Harel, and C.A. Herman General numerical analysis of time-domain NQR experiments J. Magn. Reson. 183 2006 308 314 (Pubitemid 44739333)
    • (2006) Journal of Magnetic Resonance , vol.183 , Issue.2 , pp. 308-314
    • Harel, E.1    Cho, H.2
  • 15
    • 0010720651 scopus 로고
    • Theory of pulses in nuclear quadrupole resonance spectroscopy
    • M.S. Krishnan, F.P. Temme, and B.C. Sanctuary Theory of pulses in nuclear quadrupole resonance spectroscopy Molec. Phys. 78 1993 1385 1404
    • (1993) Molec. Phys. , vol.78 , pp. 1385-1404
    • Krishnan, M.S.1    Temme, F.P.2    Sanctuary, B.C.3
  • 16
    • 0347696491 scopus 로고
    • Use of computer algebra for the study of quadrupole spin systems
    • D.J. Isbister, M.S. Krishnan, and B.C. Sanctuary Use of computer algebra for the study of quadrupole spin systems Molec. Phys. 86 1995 1517 1535
    • (1995) Molec. Phys. , vol.86 , pp. 1517-1535
    • Isbister, D.J.1    Krishnan, M.S.2    Sanctuary, B.C.3
  • 17
    • 79953196574 scopus 로고    scopus 로고
    • Wolfram Research. Mathematica, 2010
    • Wolfram Research. Mathematica, 2010. < http://www.wolfram.com >.
  • 18
    • 0141677038 scopus 로고    scopus 로고
    • Two-photon excitation in nuclear quadrupole resonance
    • P.T. Eles, and C.A. Michal Two-photon excitation in nuclear quadrupole resonance Chem. Phys. Lett. 376 2003 268 273
    • (2003) Chem. Phys. Lett. , vol.376 , pp. 268-273
    • Eles, P.T.1    Michal, C.A.2
  • 19
    • 21244483574 scopus 로고    scopus 로고
    • Crossed-coil detection of two-photon excited nuclear quadrupole resonance
    • DOI 10.1016/j.jmr.2005.04.006, PII S1090780705001291
    • P.T. Eles, and C.A. Michal Crossed-coil detection of two-photon excited nuclear quadrupole resonance J. Magn. Reson. 175 2005 201 209 (Pubitemid 40891675)
    • (2005) Journal of Magnetic Resonance , vol.175 , Issue.2 , pp. 201-209
    • Eles, P.T.1    Michal, C.A.2
  • 21
    • 0032487955 scopus 로고    scopus 로고
    • Complete quantum teleportation using nuclear magnetic resonance
    • DOI 10.1038/23891
    • M.A. Nielsen, E. Knill, and R. Laflamme Complete quantum teleportation using nuclear magnetic resonance Nature 396 1998 52 55 (Pubitemid 28520443)
    • (1998) Nature , vol.396 , Issue.6706 , pp. 52-55
    • Nielsen, M.A.1    Knill, E.2    Laflamme, R.3
  • 23
    • 0035924370 scopus 로고    scopus 로고
    • Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance
    • DOI 10.1038/414883a
    • L.M.K. Vandersypen, M. Steffen, G. Breyta, C.S. Yannoni, M.H. Sherwood, and I.L. Chuang Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance Nature 414 2001 883 887 (Pubitemid 34024733)
    • (2001) Nature , vol.414 , Issue.6866 , pp. 883-887
    • Vandersypen, L.M.K.1    Breyta, G.2    Steffen, M.3    Yannoni, C.S.4    Sherwood, M.H.5    Chuang, I.L.6
  • 24
    • 0031016537 scopus 로고    scopus 로고
    • Bulk spin-resonance quantum computation
    • DOI 10.1126/science.275.5298.350
    • D. Gershenfeld, and I.L. Chuang Bulk spin resonance quantum computation Science 275 1997 350 356 (Pubitemid 27051605)
    • (1997) Science , vol.275 , Issue.5298 , pp. 350-356
    • Gershenfeld, N.A.1    Chuang, I.L.2
  • 26
    • 0000393489 scopus 로고    scopus 로고
    • Nuclear magnetic resonance quantum logic gates using quadrupolar nuclei
    • A.K. Khitrin, and B.M. Fung Nuclear magnetic resonance quantum logic gates using quadrupolar nuclei J. Chem. Phys. 112 2000 6963 6965
    • (2000) J. Chem. Phys. , vol.112 , pp. 6963-6965
    • Khitrin, A.K.1    Fung, B.M.2
  • 27
    • 14344280045 scopus 로고    scopus 로고
    • Method of multifrequency excitation for creating pseudopure states for NMR quantum computing
    • A.K. Khitrin, H. Sun, and B.M. Fung Method of multifrequency excitation for creating pseudopure states for NMR quantum computing Phys. Rev. A 63 2001 20301
    • (2001) Phys. Rev. A , vol.63 , pp. 20301
    • Khitrin, A.K.1    Sun, H.2    Fung, B.M.3
  • 28
    • 0041765708 scopus 로고    scopus 로고
    • Three-qubit nuclear magnetic resonance quantum information processing with a single-crystal solid
    • G.M. Leskowitz, N. Ghaderi, R.A. Olsen, and L.J. Mueller Three-qubit nuclear magnetic resonance quantum information processing with a single-crystal solid J. Chem. Phys. 119 2003 1643 1649
    • (2003) J. Chem. Phys. , vol.119 , pp. 1643-1649
    • Leskowitz, G.M.1    Ghaderi, N.2    Olsen, R.A.3    Mueller, L.J.4
  • 31
    • 21244480119 scopus 로고    scopus 로고
    • Characterization of quantum algorithms by quantum process tomography using quadrupolar spins in solid-state nuclear magnetic resonance
    • H. Kampermann, and W.S. Veeman Characterization of quantum algorithms by quantum process tomography using quadrupolar spins in solid-state nuclear magnetic resonance J. Chem. Phys. 122 2005 214108
    • (2005) J. Chem. Phys. , vol.122 , pp. 214108
    • Kampermann, H.1    Veeman, W.S.2
  • 33
    • 47549089647 scopus 로고    scopus 로고
    • Implementation of controlled phase shift gates and Collins version of Deutsch-Jozsa algorithm on a quadrupolar spin-7/2 nucleus using non-adiabatic geometric phases
    • T. Gopinath, and A. Kumar Implementation of controlled phase shift gates and Collins version of Deutsch-Jozsa algorithm on a quadrupolar spin-7/2 nucleus using non-adiabatic geometric phases J. Magn. Reson. 193 2008 168 176
    • (2008) J. Magn. Reson. , vol.193 , pp. 168-176
    • Gopinath, T.1    Kumar, A.2
  • 34
    • 42949117336 scopus 로고    scopus 로고
    • Spins as qubits: Quantum information processing by nuclear magnetic resonance
    • D. Suter, and T.S. Mahesh Spins as qubits: quantum information processing by nuclear magnetic resonance J. Chem. Phys. 128 2008 052206
    • (2008) J. Chem. Phys. , vol.128 , pp. 052206
    • Suter, D.1    Mahesh, T.S.2
  • 35
    • 53349120857 scopus 로고    scopus 로고
    • Second-order shaped pulses for solid-state quantum computation
    • L.P. Pryadko, and P. Sengupta Second-order shaped pulses for solid-state quantum computation Phys. Rev. A 78 2008 032336
    • (2008) Phys. Rev. A , vol.78 , pp. 032336
    • Pryadko, L.P.1    Sengupta, P.2
  • 36
    • 67349189932 scopus 로고    scopus 로고
    • Projection of a quantum state on eigenstates of average Hamiltonian
    • J. Lee, and A.K. Khitrin Projection of a quantum state on eigenstates of average Hamiltonian J. Magn. Reson. 198 2009 248 251
    • (2009) J. Magn. Reson. , vol.198 , pp. 248-251
    • Lee, J.1    Khitrin, A.K.2
  • 37
    • 79960279227 scopus 로고    scopus 로고
    • Quantum computing with NMR
    • (in press), doi:10.1016/j.pnmrs.2010.11.001
    • J.A. Jones, Quantum computing with NMR, Prog. Nucl. Magn. Reson. Spectrosc. (in press), doi:10.1016/j.pnmrs.2010.11.001.
    • Prog. Nucl. Magn. Reson. Spectrosc
    • Jones, J.A.1
  • 40
    • 57249109783 scopus 로고    scopus 로고
    • Circularly polarized RF magnetic fields for spin-1 NQR
    • J.B. Miller, B.H. Suits, and A.N. Garroway Circularly polarized RF magnetic fields for spin-1 NQR J. Magn. Reson. 151 2001 228 234
    • (2001) J. Magn. Reson. , vol.151 , pp. 228-234
    • Miller, J.B.1    Suits, B.H.2    Garroway, A.N.3
  • 41
    • 36049055838 scopus 로고
    • Coherent averaging effects in magnetic resonance
    • U. Haeberlen, and J.S. Waugh Coherent averaging effects in magnetic resonance Phys. Rev. 175 1968 453 467
    • (1968) Phys. Rev. , vol.175 , pp. 453-467
    • Haeberlen, U.1    Waugh, J.S.2
  • 42
    • 10844290728 scopus 로고    scopus 로고
    • Two-photon two-color nuclear magnetic resonance
    • DOI 10.1063/1.1808697
    • P.T. Eles, and C.A. Michal Two-photon two-color nuclear magnetic resonance J. Chem. Phys. 121 2004 10167 10173 (Pubitemid 40001669)
    • (2004) Journal of Chemical Physics , vol.121 , Issue.20 , pp. 10167-10173
    • Eles, P.T.1    Michal, C.A.2
  • 43
    • 84940252991 scopus 로고
    • On the exponential solution of differential equations for a linear operator
    • W. Magnus On the exponential solution of differential equations for a linear operator Commun. Pure Appl. Math. 7 1954 649 673
    • (1954) Commun. Pure Appl. Math. , vol.7 , pp. 649-673
    • Magnus, W.1
  • 45
    • 21244441860 scopus 로고
    • Zeeman effect on the quadrupole spectra of sodium, potassium, and barium chlorates
    • H. Zeldes, and R. Livingston Zeeman effect on the quadrupole spectra of sodium, potassium, and barium chlorates J. Chem. Phys. 26 1957 1102 1106
    • (1957) J. Chem. Phys. , vol.26 , pp. 1102-1106
    • Zeldes, H.1    Livingston, R.2
  • 47
    • 72449194801 scopus 로고    scopus 로고
    • Pulse FT NMR of nonequilibrium states of half-integer spin quadrupolar nuclei in single crystals
    • T.T. Nakashima, K.J. Harris, and R.E. Wasylishen Pulse FT NMR of nonequilibrium states of half-integer spin quadrupolar nuclei in single crystals J. Magn. Reson. 202 2010 162 172
    • (2010) J. Magn. Reson. , vol.202 , pp. 162-172
    • Nakashima, T.T.1    Harris, K.J.2    Wasylishen, R.E.3
  • 49
    • 33846001010 scopus 로고    scopus 로고
    • Sensitivity enhancement of NMR spectra of half-integer spin quadrupolar nuclei in solids using hyperbolic secant pulses
    • DOI 10.1016/j.jmr.2006.09.007, PII S1090780706003016
    • R. Siegel, T.T. Nakashima, and R.E. Wasylishen Sensitivity enhancement of NMR spectra of half-integer spin quadrupolar nuclei in solids using hyperbolic secant pulses J. Magn. Reson. 184 2007 85 100 (Pubitemid 46049041)
    • (2007) Journal of Magnetic Resonance , vol.184 , Issue.1 , pp. 85-100
    • Siegel, R.1    Nakashima, T.T.2    Wasylishen, R.E.3
  • 50
    • 34247469390 scopus 로고    scopus 로고
    • Spectral editing in solid-state MAS NMR of quadrupolar nuclei using selective satellite inversion
    • DOI 10.1016/j.jmr.2006.12.013, PII S1090780706004113
    • K.K. Dey, S. Prasad, J.T. Ash, M. Deschamps, and P.J. Grandinetti Spectral editing in solid-state MAS NMR of quadrupolar nuclei using selective satellite inversion J. Magn. Reson. 185 2007 326 330 (Pubitemid 46661812)
    • (2007) Journal of Magnetic Resonance , vol.185 , Issue.2 , pp. 326-330
    • Dey, K.K.1    Prasad, S.2    Ash, J.T.3    Deschamps, M.4    Grandinetti, P.J.5
  • 51
    • 69949143482 scopus 로고    scopus 로고
    • Optimum excitation of xxx enhanced xxx central transition populations
    • N.M. Trease, K.K. Dey, and P.J. Grandinetti Optimum excitation of xxx enhanced xxx central transition populations J. Magn. Reson. 200 2009 334 339
    • (2009) J. Magn. Reson. , vol.200 , pp. 334-339
    • Trease, N.M.1    Dey, K.K.2    Grandinetti, P.J.3
  • 52
    • 36749113303 scopus 로고
    • Fictitious spin 1/2 operator formalism for multiple quantum NMR
    • S. Vega Fictitious spin 1/2 operator formalism for multiple quantum NMR J. Chem. Phys. 68 1978 5518 5527
    • (1978) J. Chem. Phys. , vol.68 , pp. 5518-5527
    • Vega, S.1
  • 53
    • 0000462578 scopus 로고
    • Selective excitation and detection in multilevel spin systems: Application of single transition operators
    • A. Wokaun, and R.R. Ernst Selective excitation and detection in multilevel spin systems: application of single transition operators J. Chem. Phys. 67 1977 1752 1758
    • (1977) J. Chem. Phys. , vol.67 , pp. 1752-1758
    • Wokaun, A.1    Ernst, R.R.2
  • 54
    • 0000410286 scopus 로고
    • Selective spin excitation and relaxation in nuclear quadrupole resonance
    • M.J. Weber, and E.L. Hahn Selective spin excitation and relaxation in nuclear quadrupole resonance Phys. Rev. 120 1960 365 375
    • (1960) Phys. Rev. , vol.120 , pp. 365-375
    • Weber, M.J.1    Hahn, E.L.2
  • 55
    • 70849097112 scopus 로고    scopus 로고
    • The development of the birdcage resonator: A historical perspective
    • C.E. Hayes The development of the birdcage resonator: a historical perspective NMR Biomed 22 2009 908 918
    • (2009) NMR Biomed , vol.22 , pp. 908-918
    • Hayes, C.E.1
  • 57
    • 0000036562 scopus 로고    scopus 로고
    • Realization of logically labeled effective pure states for bulk quantum computation
    • L.M.K. Vandersypen, M.C.S. Yannoni, H.S. Sherwood, and I.L. Chuang Realization of effective pure states for bulk quantum computation Phys. Rev. Lett. 83 1999 3085 3088 (Pubitemid 129689937)
    • (1999) Physical Review Letters , vol.83 , Issue.15 , pp. 3085-3088
    • Vandersypen, L.M.K.1    Yannoni, C.S.2    Sherwood, M.H.3    Chuang, I.L.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.