Nuclear spin 3/2 electric quadrupole relaxation as a quantum computation process

Quantum Information and Computation

Volumn 10, Issue 7-8, 2010, Pages 653-668

  Souza, A M ^a   Gavini Viana, A ^a   Oliveria, I S ^a   Sarthor, R S ^a   Auccaise, R ^b   Deazevedo, E R ^b   Bonagamba, T J ^b  

^a CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

^b UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

NMR; Quantum circuit; Relaxation

Indexed keywords

COMMUNICATION CHANNELS (INFORMATION THEORY); COMPUTATION THEORY; QUANTUM COMPUTERS; QUANTUM ENTANGLEMENT; QUANTUM NOISE; SPIN DYNAMICS; TIMING CIRCUITS;

COMPUTATION PROCESS; COMPUTATIONAL PROCESS; ELECTRIC QUADRUPOLES; FULLY COMPATIBLE; NOISE CHANNELS; NUCLEAR SPIN RELAXATION; NUCLEAR SPINS; QUANTUM CIRCUIT; REDFIELD THEORY; RELAXATION;

NUCLEAR MAGNETIC RESONANCE;

EID: 77953906163     PISSN: 15337146     EISSN: None     Source Type: Journal    
DOI: 10.26421/qic10.7-8-6     Document Type: Article

References (34)

1. S. Lloyd (2000), Ultimate physical limits to computation, Nature, 406, pp. 1047-1054.
2. S. Lloyd (2002), Computational Capacity of the Universe, Phys. Rev. Lett., 88, pp. 237901-237904.
3. K. Maruyama, F. Nori and V. Vedral (2009), The physics of Maxwell's demon and information, Rev. Mod. Phys., 81, pp.1-23.
4. S. Lloyd and Y. J. Ng (2004), Black Holes computers, Sci. Am., 291, pp. 52-62.
5. S.D.H. Hsu (2006), Physical limits on information processing, Phys. Lett. B, 641, pp. 99-100.
6. G.S. Engel, T.R. Calhoun, E.L. Read, T.-K. Ahn, T. Mancal, Y.-C. Cheng, R.E. Blankenship, and G.R. Fleming (2007), Evidence for wavelike energy transfer through quantum coherence in photosynthetic systems, Nature, 446, pp. 782-786.
7. I.S. Oliveira, R.S. Sarthour, E.R. deAzevedo, T.J. Bonagamba and J.C.C. Freitas (2007),NMR Quantum information processing., Elsevier (Netherland).
8. J. Stolze and D. Suter (2004), Quantum Computing: A Short Course from Theory to Experiment., Wiley-VCH.
9. A.M. Souza, A. Magalhães, J. Teles, E.R. deAzevedo, T.J. Bonagamba, I.S. Oliveira, and R.S. Sarthour (2008), NMR analog of Bell's inequalities violation test, New J. Phys., 10, pp. 0330201-03302010.
10. R.J. Nelson, D. Cory and S. Lloyd (2000), Experimental demonstration of Greenberger-Horne-Zeilinger correlations using nuclear magnetic resonance, Phys. Rev. A, 61, pp. 0221061-0221065.
11. F.A. Bonk, E.R. deAzevedo, R.S. Sarthour, J.D. Bulnes, J.C. C. Freitas, A.P. Guimarães, I.S. Oliveira and T.J. Bonagamba (2005), Quantum logical operations for spin 3/2 quadrupolar nuclei monitored by quantum state tomography, J. Magn. Reson., 175, pp. 226-234.
12. F.A. Bonk, R.S. Sarthour, E.R. deAzevedo, J.D. Bulnes, G.L. Mantovani, J.C. C. Freitas, T.J. Bonagamba, A.P. Guimarães, and I.S. Oliveira (2004),Quantum-state tomography for quadrupole nuclei and its application on a two-qubit system, Phys. Rev. A, 69, pp. 043221-043229.
13. A.K. Khitrin and B.M. Fung (2000), Nuclear magnetic resonance quantum logic gates using quadrupolar nuclei, J. Chem. Phys., 112, pp. 6963-6965.
14. K.V.R.M. Murali, N. Sinha, T.S. Mahesh, M.H. Levitt, K.V. Ramanathan, and A. Kumar (2002), Quantum-information processing by nuclear magnetic resonance: Experimental implementation of half-adder and subtractor operations using an oriented spin-7/2 system, Phys. Rev. A, 66, pp. 0223131-0223135.
15. A. Khitrin, H. Sun and B.M. Fung (2001), Method of multifrequency excitation for creating pseudopure states for NMR quantum computing, Phys. Rev. A, 63, pp. 0203011-0203014.
16. T. Gopinath and A. Kumar (2008), 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, pp. 168-176.
17. H. Kampermann and W.S. Veeman (2005), Characterization of quantum algorithms by quantum process tomography using quadrupolar spins in solid-state nuclear magnetic resonance, J. Chem. Phys., 63, pp. 2141081-2141086.
18. G. Yusa, K. Muraki, K. Takashina, K. Hashimoto and Y. Hirayama (2005), Controlled multiple quantum coherences of nuclear spins in a nanometre-scale device, Nature, 434, pp. 1001-1005.
19. M.N. Leuenberger, D. Loss, M. Poggio and D.D. Awschalom (2002), Quantum Information Processing with Large Nuclear Spins in GaAs Semiconductors, Phys. Rev. Lett. 89, pp. 2076011-2076014.
20. Y. Kondo, M. Ono, S. Matsuzaka, K. Morita, H. Sanada, Y. Ohno and H. Ohno (2008), Multipulse Operation and Optical Detection of Nuclear Spin Coherence in a GaAs/AlGaAs Quantum Well, Phys. Rev. Lett., 101, pp. 2076011-2076014.
21. Y. Hirayama, A. Miranowicz, T. Ota, G. Yusa, K. Muraki, S. Ozdemir and N. Imoto (2006), Nanometre-scale nuclear-spin device for quantum information processing, J.Phys.:Condens. Matter, 18, pp. S885-S900.
22. M.A. Nielsen and I.L. Chuang (2000),Quantum Computation and Quantum Information, Cambridge University Press, (Cambridge).
23. A. Abragam (1994), Principles of Nuclear Magnetism, Oxford Science Publications, (Oxford).
24. P. Gerothanassis and C.G. Tsanaktsidis (1996), Nuclear Electric Quadrupole Relaxation, Concepts Magn. Reson., 8, pp. 63-74.
25. R.S. Sarthour, E.R. deAzevedo, F.A. Bonk, E.L.G. Vidoto, T.J. Bonagamba, A.P. Guimarães, J.C. C. Freitas and I.S. Oliveira (2003), Relaxation of coherent states in a two qubit NMR quadrupole system, Phys. Rev. A, 68, pp.0223111-0223117.
26. A.G. Redfield (1957), On the Theory of relaxation Processes, IBM J. Res. Dev, 1, pp. 19-31.
27. R. Auccaise, J. Teles, R.S. Sarthour, T.J. Bonagamba, I.S. Oliveira, and E.R. deAzevedo (2008), A study of the relaxation dynamics in a quadrupolar NMR system using Quantum state Tomography, J. Magn. Reson. 192, pp. 17-26.
28. J.R.C. van der Maarel (1991), Relaxation of spin quantum number S = 3/2 under multiple pulse quadrupolar echoes, J. Chem. Phys., 94, pp. 4765-4775.
29. G. Jaccard, S. Wimperis and G. Bodenhausen (1986), Multiple quantum NMR spectroscopy of S = 3/2 spins in isotropic phase: a new probe for multiexponencial relaxation, J. Chem. Phys., 85, pp. 6282-6293.
30. A. Al-Qasimi and D.F. V. James (2008), Sudden death of entanglement at finite temperature, Phys. Rev. A, 77, pp. 0121171-0121174.
31. K. Radley, L.W. Reeves, and A.S. Tracey (1976), Effect of Counterion Substitution on the Type and Nature of Nematic Lyotropic Phases from Nuclear Magnetic Resonance Studies, J. Chem. Phys., 80, pp. 176-182.
32. E.M. Fortunato, M.A. Pravia, N. Boulant, G. Teklemariam, T.F. Havel and D.G. Cory (2002), Multiple quantum NMR spectroscopy of S = 3/2 spins in isotropic phase: a new probe for multiexponencial relaxation, J. Chem. Phys., 116, pp. 7599-7606.
33. D. Suter and T.S. Mahesh (2008), Spins as qubits: Quantum information processing by nuclear magnetic resonance, J. Chem. Phys., 128, pp. 0522061-05220614.
34. J. Teles, E.R. deAzevedo, R. Auccaise, R.S. Sarthour, I.S. Oliveira and T.J. Bonagamba (2007), Quantum state tomography for quadrupolar nuclei using global rotations of the spin system, J. Chem. Phys. 126, pp. 1545061-1545068.