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Erschienen in: Quantum Information Processing 7/2018

01.07.2018

Spin coherent states phenomena probed by quantum state tomography in Zeeman perturbed nuclear quadrupole resonance

verfasst von: João Teles, Ruben Auccaise, Christian Rivera-Ascona, Arthur G. Araujo-Ferreira, José P. Andreeta, Tito J. Bonagamba

Erschienen in: Quantum Information Processing | Ausgabe 7/2018

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Abstract

Recently, we reported an experimental implementation of quantum information processing (QIP) by nuclear quadrupole resonance (NQR). In this work, we present the first quantum state tomography (QST) experimental implementation in the NQR QIP context. Two approaches are proposed, employing coherence selection by temporal and spatial averaging. Conditions for reduction in the number of cycling steps are analyzed, which can be helpful for larger spin systems. The QST method was applied to the study of spin coherent states, where the alignment-to-orientation phenomenon and the evolution of squeezed spin states show the effect of the nonlinear quadrupole interaction intrinsic to the NQR system. The quantum operations were implemented using a single-crystal sample of KClO\(_{3}\) and observing \(^{35}\)Cl nuclei, which posses spin 3/2.

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Fußnoten
1
In this paper we use spin angular momentum notation I, since their atomic counterpart satisfy the same mathematical properties.
 
Literatur
9.
Zurück zum Zitat Auzinsh, M., Budker, D., Rochester, S.M.: Optically Polarized Atoms, 1st edn. Oxford University Press, Oxford (2010)MATH Auzinsh, M., Budker, D., Rochester, S.M.: Optically Polarized Atoms, 1st edn. Oxford University Press, Oxford (2010)MATH
12.
Zurück zum Zitat Barends, R., Kelly, J., Megrant, A., Veitia, A., Sank, D., Jeffrey, E., White, T.C., Mutus, J., Fowler, A.G., Campbell, B., Chen, Y., Chen, Z., Chiaro, B., Dunsworth, A., Neill, C., O’Malley, P., Roushan, P., Vainsencher, A., Wenner, J., Korotkov, A.N., Cleland, A.N., Martinis, J.M.: Superconducting quantum circuits at the surface code threshold for fault tolerance. Nature 508(7497), 500–503 (2014). https://doi.org/10.1038/nature13171 ADSCrossRef Barends, R., Kelly, J., Megrant, A., Veitia, A., Sank, D., Jeffrey, E., White, T.C., Mutus, J., Fowler, A.G., Campbell, B., Chen, Y., Chen, Z., Chiaro, B., Dunsworth, A., Neill, C., O’Malley, P., Roushan, P., Vainsencher, A., Wenner, J., Korotkov, A.N., Cleland, A.N., Martinis, J.M.: Superconducting quantum circuits at the surface code threshold for fault tolerance. Nature 508(7497), 500–503 (2014). https://​doi.​org/​10.​1038/​nature13171 ADSCrossRef
13.
Zurück zum Zitat Bax, A., Jong, P.D., Mehlkopf, A., Smidt, J.: Separation of the different orders of NMR multiple-quantum transitions by the use of pulsed field gradients. Chem. Phys. Lett. 69(3), 567–570 (1980)ADSCrossRef Bax, A., Jong, P.D., Mehlkopf, A., Smidt, J.: Separation of the different orders of NMR multiple-quantum transitions by the use of pulsed field gradients. Chem. Phys. Lett. 69(3), 567–570 (1980)ADSCrossRef
15.
27.
Zurück zum Zitat Fortunato, E.M., Pravia, M.A., Boulant, N., Teklemariam, G., Havel, T.F., Cory, D.G.: Design of strongly modulating pulses to implement precise effective Hamiltonians for quantum information processing. J. Chem. Phys. 116(17), 7599–7606 (2002)ADSCrossRef Fortunato, E.M., Pravia, M.A., Boulant, N., Teklemariam, G., Havel, T.F., Cory, D.G.: Design of strongly modulating pulses to implement precise effective Hamiltonians for quantum information processing. J. Chem. Phys. 116(17), 7599–7606 (2002)ADSCrossRef
37.
Zurück zum Zitat Kampermann, H., Veeman, W.S.: Quantum computing using quadrupolar spins in solid state N M R. Quantum Inf. Proces. 1(5), 327–344 (2002)MathSciNetCrossRef Kampermann, H., Veeman, W.S.: Quantum computing using quadrupolar spins in solid state N M R. Quantum Inf. Proces. 1(5), 327–344 (2002)MathSciNetCrossRef
40.
Zurück zum Zitat Lauterbur, P.C.: Image formation by induced local interactions: examples employing nuclear magnetic resonance. Nature 242(5394), 190–191 (1973)ADSCrossRef Lauterbur, P.C.: Image formation by induced local interactions: examples employing nuclear magnetic resonance. Nature 242(5394), 190–191 (1973)ADSCrossRef
47.
Zurück zum Zitat Mansfield, P., Grannell, P.K.: NMR ’diffraction’ in solids? J. Phys. C Solid State Phys. 6(22), L422–L426 (1973)ADSCrossRef Mansfield, P., Grannell, P.K.: NMR ’diffraction’ in solids? J. Phys. C Solid State Phys. 6(22), L422–L426 (1973)ADSCrossRef
48.
Zurück zum Zitat Miranowicz, A., zdemir, Ş.K., Bajer, J., Yusa, G., Imoto, N., Hirayama, Y., Nori, F.: Quantum state tomography of large nuclear spins in a semiconductor quantum well: Optimal robustness against errors as quantified by condition numbers. Phys. Rev. B (2015). https://doi.org/10.1103/physrevb.92.075312 Miranowicz, A., zdemir, Ş.K., Bajer, J., Yusa, G., Imoto, N., Hirayama, Y., Nori, F.: Quantum state tomography of large nuclear spins in a semiconductor quantum well: Optimal robustness against errors as quantified by condition numbers. Phys. Rev. B (2015). https://​doi.​org/​10.​1103/​physrevb.​92.​075312
50.
Zurück zum Zitat Ofek, N., Petrenko, A., Heeres, R., Reinhold, P., Leghtas, Z., Vlastakis, B., Liu, Y., Frunzio, L., Girvin, S.M., Jiang, L., Mirrahimi, M., Devoret, M.H., Schoelkopf, R.J.: Extending the lifetime of a quantum bit with error correction in superconducting circuits. Nature 536(7617), 441–445 (2016). https://doi.org/10.1038/nature18949 ADSCrossRef Ofek, N., Petrenko, A., Heeres, R., Reinhold, P., Leghtas, Z., Vlastakis, B., Liu, Y., Frunzio, L., Girvin, S.M., Jiang, L., Mirrahimi, M., Devoret, M.H., Schoelkopf, R.J.: Extending the lifetime of a quantum bit with error correction in superconducting circuits. Nature 536(7617), 441–445 (2016). https://​doi.​org/​10.​1038/​nature18949 ADSCrossRef
53.
Zurück zum Zitat Price, W.S.: Pulsed-field gradient nuclear magnetic resonance as a tool for studying translational diffusion: part 1. Basic theory. Concepts Mag. Reson. 9(5), 299–336 (1997)CrossRef Price, W.S.: Pulsed-field gradient nuclear magnetic resonance as a tool for studying translational diffusion: part 1. Basic theory. Concepts Mag. Reson. 9(5), 299–336 (1997)CrossRef
59.
Zurück zum Zitat Santagati, R., Silverstone, J.W., Strain, M., Sorel, M., Miki, S., Yamashita, T., Fujiwara, M., Sasaki, M., Terai, H., Tanner, M., Natarajan, C., Hadfield, R.H., Brien, J.O., Thompson, M.: Silicon photonic processor of two-qubit entangling quantum logic. J. Opt. (2017). https://doi.org/10.1088/2040-8986/aa8d56 Santagati, R., Silverstone, J.W., Strain, M., Sorel, M., Miki, S., Yamashita, T., Fujiwara, M., Sasaki, M., Terai, H., Tanner, M., Natarajan, C., Hadfield, R.H., Brien, J.O., Thompson, M.: Silicon photonic processor of two-qubit entangling quantum logic. J. Opt. (2017). https://​doi.​org/​10.​1088/​2040-8986/​aa8d56
64.
Zurück zum Zitat Varshalovich, D.: Quantum Theory Of Angular Momemtum. World Scientific, Singapore (1988)CrossRef Varshalovich, D.: Quantum Theory Of Angular Momemtum. World Scientific, Singapore (1988)CrossRef
66.
Zurück zum Zitat Yamamoto, T., Neeley, M., Lucero, E., Bialczak, R.C., Kelly, J., Lenander, M., Mariantoni, M., O’Connell, A.D., Sank, D., Wang, H., Weides, M., Wenner, J., Yin, Y., Cleland, A.N., Martinis, J.M.: Quantum process tomography of two-qubit controlled-z and controlled-NOT gates using superconducting phase qubits. Phys. Rev. B 82(18), (2010). https://doi.org/10.1103/physrevb.82.184515 Yamamoto, T., Neeley, M., Lucero, E., Bialczak, R.C., Kelly, J., Lenander, M., Mariantoni, M., O’Connell, A.D., Sank, D., Wang, H., Weides, M., Wenner, J., Yin, Y., Cleland, A.N., Martinis, J.M.: Quantum process tomography of two-qubit controlled-z and controlled-NOT gates using superconducting phase qubits. Phys. Rev. B 82(18), (2010). https://​doi.​org/​10.​1103/​physrevb.​82.​184515
Metadaten
Titel
Spin coherent states phenomena probed by quantum state tomography in Zeeman perturbed nuclear quadrupole resonance
verfasst von
João Teles
Ruben Auccaise
Christian Rivera-Ascona
Arthur G. Araujo-Ferreira
José P. Andreeta
Tito J. Bonagamba
Publikationsdatum
01.07.2018
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 7/2018
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-018-1947-1

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