Skip to main content
Erschienen in: Quantum Information Processing 9/2020

01.08.2020

Pulse–qubit interaction in a superconducting circuit under linearly dissipative environment

verfasst von: Yibo Gao, Shijie Jin, Yan Zhang, Hou Ian

Erschienen in: Quantum Information Processing | Ausgabe 9/2020

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Microwave pulses are used ubiquitously to control and measure qubits fabricated on superconducting circuits. Due to continual environmental coupling, qubits undergo decoherence either when it is free or when it is coupled to an incident pulse. We study theoretically the decoherence-induced effects when a qubit is subject to the driving of time-dependent pulses, which can accomplish geometric logic gating, under a dissipative environment with linear spectral distribution. We find that a transmissible pulse of finite width adopts an asymmetric multi-hump shape, due to the imbalanced pumping and emitting rates of the qubit during inversion when the environment is present. The pulse shape reduces to a solitonic pulse at vanishing dissipation and a pulse train at strong dissipation. We give detailed analysis of the environmental origin from both the perspectives of envelope and phase of the propagating pulse.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Clarke, J., Wilhelm, F.K.: Superconducting quantum bits. Nature 453, 1031–1042 (2008)ADSCrossRef Clarke, J., Wilhelm, F.K.: Superconducting quantum bits. Nature 453, 1031–1042 (2008)ADSCrossRef
2.
Zurück zum Zitat You, J.Q., Nori, F.: Atomic physics and quantum optics using superconducting circuits. Nature 474, 589–597 (2011)ADSCrossRef You, J.Q., Nori, F.: Atomic physics and quantum optics using superconducting circuits. Nature 474, 589–597 (2011)ADSCrossRef
3.
Zurück zum Zitat Ian, H., Liu, Y., Nori, F.: Tunable electromagnetically induced transparency and absorption with dressed superconducting qubits. Phys. Rev. A 81, 063823 (2010)ADSCrossRef Ian, H., Liu, Y., Nori, F.: Tunable electromagnetically induced transparency and absorption with dressed superconducting qubits. Phys. Rev. A 81, 063823 (2010)ADSCrossRef
4.
Zurück zum Zitat Martinis, J.M., Cooper, K.B., McDermott, R., Steffen, M., Ansmann, M., Osborn, K.D., Cicak, K., Oh, S., Pappas, D.P., Simmonds, R.W., Yu, C.C.: Decoherence in Josephson Qubits from dielectric loss. Phys. Rev. Lett. 95, 210503 (2005)ADSCrossRef Martinis, J.M., Cooper, K.B., McDermott, R., Steffen, M., Ansmann, M., Osborn, K.D., Cicak, K., Oh, S., Pappas, D.P., Simmonds, R.W., Yu, C.C.: Decoherence in Josephson Qubits from dielectric loss. Phys. Rev. Lett. 95, 210503 (2005)ADSCrossRef
5.
Zurück zum Zitat Martinis, J.M., Nam, S., Aumentado, J., Lang, K.M., Urbina, C.: Decoherence of a superconducting qubit due to bias noise. Phys. Rev. B 67, 094510 (2003)ADSCrossRef Martinis, J.M., Nam, S., Aumentado, J., Lang, K.M., Urbina, C.: Decoherence of a superconducting qubit due to bias noise. Phys. Rev. B 67, 094510 (2003)ADSCrossRef
6.
Zurück zum Zitat Bialczak, R.C., McDermott, R., Ansmann, M., Hofheinz, M., Katz, N., Lucero, E., Neeley, M., O’Connell, A.D., Wang, H., Cleland, A.N., Martinis, J.M.: 1/f Flux Noise in Josephson Phase Qubits. Phys. Rev. Lett. 99, 187006 (2007)ADSCrossRef Bialczak, R.C., McDermott, R., Ansmann, M., Hofheinz, M., Katz, N., Lucero, E., Neeley, M., O’Connell, A.D., Wang, H., Cleland, A.N., Martinis, J.M.: 1/f Flux Noise in Josephson Phase Qubits. Phys. Rev. Lett. 99, 187006 (2007)ADSCrossRef
7.
Zurück zum Zitat Yoshihara, F., Harrabi, K., Niskanen, A.O., Nakamura, Y., Tsai, J.S.: Decoherence of Flux Qubits due to 1/f Flux Noise. Phys. Rev. Lett. 97, 167001 (2006)ADSCrossRef Yoshihara, F., Harrabi, K., Niskanen, A.O., Nakamura, Y., Tsai, J.S.: Decoherence of Flux Qubits due to 1/f Flux Noise. Phys. Rev. Lett. 97, 167001 (2006)ADSCrossRef
8.
Zurück zum Zitat Ithier, G., Collin, E., Joyez, P., Meeson, P.J., Vion, D., Esteve, D., Chiarello, F., Shnirman, A., Makhlin, Y., Schriefl, J., Schön, G.: Decoherence in a superconducting quantum bit circuit. Phys. Rev. B 72, 134519 (2005)ADSCrossRef Ithier, G., Collin, E., Joyez, P., Meeson, P.J., Vion, D., Esteve, D., Chiarello, F., Shnirman, A., Makhlin, Y., Schriefl, J., Schön, G.: Decoherence in a superconducting quantum bit circuit. Phys. Rev. B 72, 134519 (2005)ADSCrossRef
9.
Zurück zum Zitat Mallet, F., Ong, F.R., Palacios-Laloy, A., Nguyen, F., Bertet, P., Vion, D., Esteve, D.: Single-shot qubit readout in circuit quantum electrodynamics. Nat. Phys. 5, 791–795 (2009)CrossRef Mallet, F., Ong, F.R., Palacios-Laloy, A., Nguyen, F., Bertet, P., Vion, D., Esteve, D.: Single-shot qubit readout in circuit quantum electrodynamics. Nat. Phys. 5, 791–795 (2009)CrossRef
10.
Zurück zum Zitat Yu, S., Gao, Y., Ian, H.: Perturbative dissipation dynamics of a weakly driven cavity QED system: generalized microscopic master equation. Quantum Inf. Process. 16, 283 (2017)MathSciNetCrossRef Yu, S., Gao, Y., Ian, H.: Perturbative dissipation dynamics of a weakly driven cavity QED system: generalized microscopic master equation. Quantum Inf. Process. 16, 283 (2017)MathSciNetCrossRef
12.
Zurück zum Zitat Falci, G., Fazio, R., Palma, G.M., Siewert, J., Vedral, V.: Detection of geometric phases in superconducting nanocircuits. Nature 407, 355–358 (2000)ADSCrossRef Falci, G., Fazio, R., Palma, G.M., Siewert, J., Vedral, V.: Detection of geometric phases in superconducting nanocircuits. Nature 407, 355–358 (2000)ADSCrossRef
13.
Zurück zum Zitat Huang, Y.-Y., Wu, Y.-K., Wang, F., Hou, P.-Y., Wang, W.-B., Zhang, W.-G., Lian, W.-Q., Liu, Y.-Q., Wang, H.-Y., Zhang, H.-Y., He, L., Chang, X.-Y., Xu, Y., Duan, L.-M.: Experimental realization of robust geometric quantum gates with solid-state spins. Phys. Rev. Lett. 122, 010503 (2019)ADSCrossRef Huang, Y.-Y., Wu, Y.-K., Wang, F., Hou, P.-Y., Wang, W.-B., Zhang, W.-G., Lian, W.-Q., Liu, Y.-Q., Wang, H.-Y., Zhang, H.-Y., He, L., Chang, X.-Y., Xu, Y., Duan, L.-M.: Experimental realization of robust geometric quantum gates with solid-state spins. Phys. Rev. Lett. 122, 010503 (2019)ADSCrossRef
14.
Zurück zum Zitat Tian, L., Lloyd, S., Orlando, T.P.: Decoherence and relaxation of a superconducting quantum bit during measurement. Phys. Rev. B 65, 144516 (2002)ADSCrossRef Tian, L., Lloyd, S., Orlando, T.P.: Decoherence and relaxation of a superconducting quantum bit during measurement. Phys. Rev. B 65, 144516 (2002)ADSCrossRef
15.
Zurück zum Zitat You, J.Q., Hu, X., Ashhab, S., Nori, F.: Low-decoherence flux qubit. Phys. Rev. B 75, 140515 (2007)ADSCrossRef You, J.Q., Hu, X., Ashhab, S., Nori, F.: Low-decoherence flux qubit. Phys. Rev. B 75, 140515 (2007)ADSCrossRef
16.
Zurück zum Zitat McDermott, R.: Materials origins of decoherence in superconducting qubits. IEEE Trans. Appl. Supercond. 19, 2–13 (2009)ADSCrossRef McDermott, R.: Materials origins of decoherence in superconducting qubits. IEEE Trans. Appl. Supercond. 19, 2–13 (2009)ADSCrossRef
17.
Zurück zum Zitat Caldeira, A.O., Leggett, A.J.: Quantum tunnelling in a dissipative system. Ann. Phys. 149, 374–456 (1983)ADSCrossRef Caldeira, A.O., Leggett, A.J.: Quantum tunnelling in a dissipative system. Ann. Phys. 149, 374–456 (1983)ADSCrossRef
18.
Zurück zum Zitat Leggett, A.J.: Quantum tunneling in the presence of an arbitrary linear dissipation mechanism. Phys. Rev. B 30, 1208–1218 (1984)ADSCrossRef Leggett, A.J.: Quantum tunneling in the presence of an arbitrary linear dissipation mechanism. Phys. Rev. B 30, 1208–1218 (1984)ADSCrossRef
19.
Zurück zum Zitat Wei, L.F., Liu, Y., Nori, F.: Generation and control of Greenberger–Horne–Zeilinger Entanglement in superconducting circuits. Phys. Rev. Lett. 96, 246803 (2006)ADSCrossRef Wei, L.F., Liu, Y., Nori, F.: Generation and control of Greenberger–Horne–Zeilinger Entanglement in superconducting circuits. Phys. Rev. Lett. 96, 246803 (2006)ADSCrossRef
20.
Zurück zum Zitat Neeley, M., Bialczak, R.C., Lenander, M., Lucero, E., Mariantoni, M., O’Connell, A.D., Sank, D., Wang, H., Weides, M., Wenner, J., Yin, Y., Yamamoto, T., Cleland, A.N., Martinis, J.M.: Generation of three-qubit entangled states using superconducting phase qubits. Nature 467, 570–573 (2010)ADSCrossRef Neeley, M., Bialczak, R.C., Lenander, M., Lucero, E., Mariantoni, M., O’Connell, A.D., Sank, D., Wang, H., Weides, M., Wenner, J., Yin, Y., Yamamoto, T., Cleland, A.N., Martinis, J.M.: Generation of three-qubit entangled states using superconducting phase qubits. Nature 467, 570–573 (2010)ADSCrossRef
21.
Zurück zum Zitat Kohler, S., Utermann, R., Hänggi, P., Dittrich, T.: Coherent and incoherent chaotic tunneling near singlet-doublet crossings. Phys. Rev. E 58, 7219–7230 (1998)ADSCrossRef Kohler, S., Utermann, R., Hänggi, P., Dittrich, T.: Coherent and incoherent chaotic tunneling near singlet-doublet crossings. Phys. Rev. E 58, 7219–7230 (1998)ADSCrossRef
22.
Zurück zum Zitat Ferrón, A., Domínguez, D., Sánchez, M.J.: Tailoring population inversion in Landau–Zener–Stuckelberg interferometry of flux qubits. Phys. Rev. Lett. 109, 237005 (2012)ADSCrossRef Ferrón, A., Domínguez, D., Sánchez, M.J.: Tailoring population inversion in Landau–Zener–Stuckelberg interferometry of flux qubits. Phys. Rev. Lett. 109, 237005 (2012)ADSCrossRef
23.
Zurück zum Zitat Ferrón, A., Domínguez, D., Sánchez, M.J.: Dynamic transition in Landau–Zener–Stuckelberg interferometry of dissipative systems: the case of the flux qubit. Phys. Rev. B 93, 064521 (2016)ADSCrossRef Ferrón, A., Domínguez, D., Sánchez, M.J.: Dynamic transition in Landau–Zener–Stuckelberg interferometry of dissipative systems: the case of the flux qubit. Phys. Rev. B 93, 064521 (2016)ADSCrossRef
24.
Zurück zum Zitat Caldeira, A.O., Leggett, A.J.: Influence of dissipation on quantum tunneling in Macroscopic systems. Phys. Rev. Lett. 46, 211–214 (1981)ADSCrossRef Caldeira, A.O., Leggett, A.J.: Influence of dissipation on quantum tunneling in Macroscopic systems. Phys. Rev. Lett. 46, 211–214 (1981)ADSCrossRef
25.
Zurück zum Zitat Widom, A., Clark, T.D.: Probabilities for Quantum Tunneling through a Barrier with Linear Passive Dissipation. Phys. Rev. Lett. 48, 63–65 (1982)ADSMathSciNetCrossRef Widom, A., Clark, T.D.: Probabilities for Quantum Tunneling through a Barrier with Linear Passive Dissipation. Phys. Rev. Lett. 48, 63–65 (1982)ADSMathSciNetCrossRef
27.
Zurück zum Zitat Basov, N.G., Ambartsumyan, R.V., Zuev, V.S., Kryukov, P.G., Letokhov, V.S.: Nonlinear amplification of light pulses. Sov. J. Exp. Theor. Phys. 23, 16 (1966)ADS Basov, N.G., Ambartsumyan, R.V., Zuev, V.S., Kryukov, P.G., Letokhov, V.S.: Nonlinear amplification of light pulses. Sov. J. Exp. Theor. Phys. 23, 16 (1966)ADS
28.
Zurück zum Zitat McCall, S.L., Hahn, E.L.: Self-Induced transparency by pulsed coherent light. Phys. Rev. Lett. 18, 908–911 (1967)ADSCrossRef McCall, S.L., Hahn, E.L.: Self-Induced transparency by pulsed coherent light. Phys. Rev. Lett. 18, 908–911 (1967)ADSCrossRef
29.
Zurück zum Zitat Lamb, G.L.: Analytical descriptions of ultrashort optical pulse propagation in a resonant medium. Rev. Mod. Phys. 43, 99–124 (1971)ADSMathSciNetCrossRef Lamb, G.L.: Analytical descriptions of ultrashort optical pulse propagation in a resonant medium. Rev. Mod. Phys. 43, 99–124 (1971)ADSMathSciNetCrossRef
30.
Zurück zum Zitat Eichler, C., Lang, C., Fink, J.M., Govenius, J., Filipp, S., Wallraff, A.: Observation of entanglement between itinerant microwave photons and a superconducting qubit. Phys. Rev. Lett. 109, 240501 (2012)ADSCrossRef Eichler, C., Lang, C., Fink, J.M., Govenius, J., Filipp, S., Wallraff, A.: Observation of entanglement between itinerant microwave photons and a superconducting qubit. Phys. Rev. Lett. 109, 240501 (2012)ADSCrossRef
31.
Zurück zum Zitat Wen, P.Y., Kockum, A.F., Ian, H., Chen, J.C., Nori, F., Hoi, I.-C.: Reflective amplification without population inversion from a strongly driven superconducting qubit. Phys. Rev. Lett. 120, 063603 (2018)ADSCrossRef Wen, P.Y., Kockum, A.F., Ian, H., Chen, J.C., Nori, F., Hoi, I.-C.: Reflective amplification without population inversion from a strongly driven superconducting qubit. Phys. Rev. Lett. 120, 063603 (2018)ADSCrossRef
32.
Zurück zum Zitat Wen, P.Y., Lin, K.-T., Kockum, A.F., Suri, B., Ian, H., Chen, J.C., Mao, S.Y., Chiu, C.C., Delsing, P., Nori, F., Lin, G.-D., Hoi, I.-C.: Large collective lamb shift of two distant superconducting artificial atoms. Phys. Rev. Lett. 123, 233602 (2019)ADSCrossRef Wen, P.Y., Lin, K.-T., Kockum, A.F., Suri, B., Ian, H., Chen, J.C., Mao, S.Y., Chiu, C.C., Delsing, P., Nori, F., Lin, G.-D., Hoi, I.-C.: Large collective lamb shift of two distant superconducting artificial atoms. Phys. Rev. Lett. 123, 233602 (2019)ADSCrossRef
Metadaten
Titel
Pulse–qubit interaction in a superconducting circuit under linearly dissipative environment
verfasst von
Yibo Gao
Shijie Jin
Yan Zhang
Hou Ian
Publikationsdatum
01.08.2020
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 9/2020
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-020-02814-2

Weitere Artikel der Ausgabe 9/2020

Quantum Information Processing 9/2020 Zur Ausgabe

Neuer Inhalt