Skip to main content
Top
Published in: Quantum Information Processing 6/2016

01-06-2016

Quantum speedup of uncoupled multiqubit open system via dynamical decoupling pulses

Authors: Ya-Ju Song, Le-Man Kuang, Qing-Shou Tan

Published in: Quantum Information Processing | Issue 6/2016

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

We present a method to accelerate the dynamical evolution of mutltiqubit open system by employing dynamical decoupling pulses (DDPs) when the qubits are initially in W-type states. Here the qubits are independent and coupled to local Lorentzian reservoirs. It is found that this speedup evolution can be achieved in both the weak-coupling regime and the strong-coupling regime. The essential physical mechanism behind the acceleration evolution is explained as a result of the joint action of the non-Markovianity of reservoirs and the excited-state population of qubits. It is shown that both the non-Markovianity and the excited-state population can be controlled by DDPs to realize the quantum speedup.

Dont have a licence yet? Then find out more about our products and how to get one now:

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!

Appendix
Available only for authorised users
Literature
2.
go back to reference Yung, M.-H.: Quantum speed limit for perfect state transfer in one dimension. Phys. Rev. A 74, 030303(R) (2006)ADSCrossRef Yung, M.-H.: Quantum speed limit for perfect state transfer in one dimension. Phys. Rev. A 74, 030303(R) (2006)ADSCrossRef
4.
6.
go back to reference Obada, A.-S.F., Abo-Kahla, D.A.M., Metwally, N., Abdel-Aty, M.: The quantum computational speed of a single Cooper-pair box. Phys. E 43, 1792 (2011)CrossRef Obada, A.-S.F., Abo-Kahla, D.A.M., Metwally, N., Abdel-Aty, M.: The quantum computational speed of a single Cooper-pair box. Phys. E 43, 1792 (2011)CrossRef
7.
go back to reference Giovannetti, V., Lloyd, S., Maccone, L.: Advances in quantum metrology. Nat. Photonics 5, 222 (2011)ADSCrossRef Giovannetti, V., Lloyd, S., Maccone, L.: Advances in quantum metrology. Nat. Photonics 5, 222 (2011)ADSCrossRef
8.
go back to reference Chin, A.W., Huelga, S.F., Plenio, M.B.: Quantum metrology in non-Markovian environments. Phys. Rev. Lett. 109, 233601 (2012)ADSCrossRef Chin, A.W., Huelga, S.F., Plenio, M.B.: Quantum metrology in non-Markovian environments. Phys. Rev. Lett. 109, 233601 (2012)ADSCrossRef
9.
go back to reference del Campo, A., Egusquiza, I.L., Plenio, M.B., Huelga, S.F.: Quantum speed limits in open system dynamics. Phys. Rev. Lett. 110, 050403 (2013)CrossRef del Campo, A., Egusquiza, I.L., Plenio, M.B., Huelga, S.F.: Quantum speed limits in open system dynamics. Phys. Rev. Lett. 110, 050403 (2013)CrossRef
11.
go back to reference Alipour, S., Mehboudi, M., Rezakhani, A.T.: Quantum metrology in open systems: dissipative Cram\(\acute{e}\)r–Rao bound. Phys. Rev. Lett. 112, 120405 (2014)ADSCrossRef Alipour, S., Mehboudi, M., Rezakhani, A.T.: Quantum metrology in open systems: dissipative Cram\(\acute{e}\)r–Rao bound. Phys. Rev. Lett. 112, 120405 (2014)ADSCrossRef
12.
go back to reference Demkowicz-Dobrzański, R.: Quantum computation speedup limits from quantum metrological precision bounds. Phys. Rev. A. 91, 062322 (2015)ADSCrossRef Demkowicz-Dobrzański, R.: Quantum computation speedup limits from quantum metrological precision bounds. Phys. Rev. A. 91, 062322 (2015)ADSCrossRef
13.
go back to reference Gordon, R.J., Rice, S.A.: Active control of the dynamics of atoms and molecules. Annu. Rev. Phys. Chem. 48, 601 (1997)ADSCrossRef Gordon, R.J., Rice, S.A.: Active control of the dynamics of atoms and molecules. Annu. Rev. Phys. Chem. 48, 601 (1997)ADSCrossRef
14.
go back to reference Rabitz, H., de Vivie-Riedle, R., Motzkus, M., Kompa, K.: Whither the future of controlling quantum phenomena? Science 288, 824 (2000)ADSCrossRef Rabitz, H., de Vivie-Riedle, R., Motzkus, M., Kompa, K.: Whither the future of controlling quantum phenomena? Science 288, 824 (2000)ADSCrossRef
15.
go back to reference Khaneja, N., Brockett, R., Glaser, S.J.: Time optimal control in spin systems. Phys. Rev. A 63, 032308 (2001)ADSCrossRef Khaneja, N., Brockett, R., Glaser, S.J.: Time optimal control in spin systems. Phys. Rev. A 63, 032308 (2001)ADSCrossRef
16.
go back to reference Carlini, A., Hosoya, A., Koike, T., Okudaira, Y.: Time-optimal quantum evolution. Phys. Rev. Lett. 96, 060503 (2006)ADSCrossRefMATH Carlini, A., Hosoya, A., Koike, T., Okudaira, Y.: Time-optimal quantum evolution. Phys. Rev. Lett. 96, 060503 (2006)ADSCrossRefMATH
17.
go back to reference Caneva, T., Murphy, M., Calarco, T., Fazio, R., Montangero, S., Giovannetti, V., Santoro, G.E.: Optimal control at the quantum speed limit. Phys. Rev. Lett. 103, 240501 (2009)ADSCrossRef Caneva, T., Murphy, M., Calarco, T., Fazio, R., Montangero, S., Giovannetti, V., Santoro, G.E.: Optimal control at the quantum speed limit. Phys. Rev. Lett. 103, 240501 (2009)ADSCrossRef
18.
go back to reference Mukherjee, V., Carlini, A., Mari, A., Caneva, T., Montangero, S., Calarco, T., Fazio, R., Giovannetti, V.: Speeding up and slowing down the relaxation of a qubit by optimal control. Phys. Rev. A 88, 062326 (2013)ADSCrossRef Mukherjee, V., Carlini, A., Mari, A., Caneva, T., Montangero, S., Calarco, T., Fazio, R., Giovannetti, V.: Speeding up and slowing down the relaxation of a qubit by optimal control. Phys. Rev. A 88, 062326 (2013)ADSCrossRef
19.
go back to reference Hegerfeldt, G.C.: Driving at the quantum speed limit: optimal control of a two-level system. Phys. Rev. Lett. 111, 260501 (2013)ADSCrossRef Hegerfeldt, G.C.: Driving at the quantum speed limit: optimal control of a two-level system. Phys. Rev. Lett. 111, 260501 (2013)ADSCrossRef
20.
go back to reference Hegerfeldt, G.C.: High-speed driving of a two-level system. Phys. Rev. A 90, 032110 (2014)ADSCrossRef Hegerfeldt, G.C.: High-speed driving of a two-level system. Phys. Rev. A 90, 032110 (2014)ADSCrossRef
21.
go back to reference Avinadav, C., Fischer, R., London, P., Gershoni, D.: Time-optimal universal control of two-level systems under strong driving. Phys. Rev. B 89, 245311 (2014)ADSCrossRef Avinadav, C., Fischer, R., London, P., Gershoni, D.: Time-optimal universal control of two-level systems under strong driving. Phys. Rev. B 89, 245311 (2014)ADSCrossRef
22.
go back to reference Deffner, S.: Optimal control of a qubit in an optical cavity. J. Phys. B 47, 145502 (2014)ADSCrossRef Deffner, S.: Optimal control of a qubit in an optical cavity. J. Phys. B 47, 145502 (2014)ADSCrossRef
23.
go back to reference Fleming, G.N.: A unitarity bound on the evolution of nonstationary states. Nuovo Cimento A 16, 232 (1973)ADSCrossRef Fleming, G.N.: A unitarity bound on the evolution of nonstationary states. Nuovo Cimento A 16, 232 (1973)ADSCrossRef
24.
go back to reference Bhattacharyya, K.: Quantum decay and the Mandelstam–Tamm-energy inequality. J. Phys. A 16, 2993 (1983)ADSCrossRef Bhattacharyya, K.: Quantum decay and the Mandelstam–Tamm-energy inequality. J. Phys. A 16, 2993 (1983)ADSCrossRef
27.
29.
go back to reference Deffner, S., Lutz, E.: Quantum speed limit for non-Markovian dynamics. Phys. Rev. Lett. 111, 010402 (2013)ADSCrossRef Deffner, S., Lutz, E.: Quantum speed limit for non-Markovian dynamics. Phys. Rev. Lett. 111, 010402 (2013)ADSCrossRef
31.
go back to reference Cirac, J.I., Zoller, P.: Goals and opportunities in quantum simulation. Nat. Phys. 8, 264 (2012)CrossRef Cirac, J.I., Zoller, P.: Goals and opportunities in quantum simulation. Nat. Phys. 8, 264 (2012)CrossRef
32.
go back to reference Georgescu, I.M., Ashhab, S., Nori, F.: Quantum simulation. Rev. Mod. Phys. 86, 153 (2014)ADSCrossRef Georgescu, I.M., Ashhab, S., Nori, F.: Quantum simulation. Rev. Mod. Phys. 86, 153 (2014)ADSCrossRef
34.
go back to reference Brody, D.C., Graefe, E.-M.: Mixed-state evolution in the presence of gain and loss. Phys. Rev. Lett. 109, 230405 (2012)ADSCrossRef Brody, D.C., Graefe, E.-M.: Mixed-state evolution in the presence of gain and loss. Phys. Rev. Lett. 109, 230405 (2012)ADSCrossRef
35.
go back to reference Taddei, M.M., Escher, B.M., Davidovich, L., de Matos Filho, R.L.: Quantum speed limit for physical processes. Phys. Rev. Lett. 110, 050402 (2013)ADSCrossRef Taddei, M.M., Escher, B.M., Davidovich, L., de Matos Filho, R.L.: Quantum speed limit for physical processes. Phys. Rev. Lett. 110, 050402 (2013)ADSCrossRef
36.
go back to reference Xu, Z.-Y., Luo, S., Yang, W.-L., Liu, C., Zhu, S.: Quantum speedup in a memory environment. Phys. Rev. A 89, 012307 (2014)ADSCrossRef Xu, Z.-Y., Luo, S., Yang, W.-L., Liu, C., Zhu, S.: Quantum speedup in a memory environment. Phys. Rev. A 89, 012307 (2014)ADSCrossRef
37.
go back to reference Zhang, Y.-J., Han, W., Xia, Y.-J., Cao, J.-P., Fan, H.: Quantum speed limit for arbitrary initial states. Sci. Rep. 4, 4890 (2014)ADS Zhang, Y.-J., Han, W., Xia, Y.-J., Cao, J.-P., Fan, H.: Quantum speed limit for arbitrary initial states. Sci. Rep. 4, 4890 (2014)ADS
38.
go back to reference Sun, Z., Liu, J., Ma, J., Wang, X.: Quantum speed limits in open systems: non-Markovian dynamics without rotating-wave approximation. Sci. Rep. 5, 8444 (2015)ADSCrossRef Sun, Z., Liu, J., Ma, J., Wang, X.: Quantum speed limits in open systems: non-Markovian dynamics without rotating-wave approximation. Sci. Rep. 5, 8444 (2015)ADSCrossRef
39.
go back to reference Mandelstam, L., Tamm, I.: The uncertainty relation between energy and time in nonrelativistic quantum mechanics. J. Phys. (Moscow) 9, 249 (1945)MathSciNetMATH Mandelstam, L., Tamm, I.: The uncertainty relation between energy and time in nonrelativistic quantum mechanics. J. Phys. (Moscow) 9, 249 (1945)MathSciNetMATH
41.
go back to reference Pfeifer, P.: How fast can a quantum state change with time? Phys. Rev. Lett. 70, 3365 (1993)ADSCrossRef Pfeifer, P.: How fast can a quantum state change with time? Phys. Rev. Lett. 70, 3365 (1993)ADSCrossRef
42.
go back to reference Margolus, N., Levitin, L.B.: The maximum speed of dynamical evolution. Phys. D 120, 188 (1998)CrossRef Margolus, N., Levitin, L.B.: The maximum speed of dynamical evolution. Phys. D 120, 188 (1998)CrossRef
43.
go back to reference Giovannetti, V., Lloyd, S., Maccone, L.: Quantum limits to dynamical evolution. Phys. Rev. A 67, 052109 (2003)ADSCrossRef Giovannetti, V., Lloyd, S., Maccone, L.: Quantum limits to dynamical evolution. Phys. Rev. A 67, 052109 (2003)ADSCrossRef
44.
go back to reference Chau, H.F.: Tight upper bound of the maximum speed of evolution of a quantum state. Phys. Rev. A 81, 062133 (2010)ADSCrossRef Chau, H.F.: Tight upper bound of the maximum speed of evolution of a quantum state. Phys. Rev. A 81, 062133 (2010)ADSCrossRef
45.
46.
go back to reference Zhang, Y.-J., Han, W., Xia, Y.-J., Cao, J.-P., Fan, H.: Classical-driving-assisted quantum speed-up. Phys. Rev. A 91, 032112 (2015)ADSCrossRef Zhang, Y.-J., Han, W., Xia, Y.-J., Cao, J.-P., Fan, H.: Classical-driving-assisted quantum speed-up. Phys. Rev. A 91, 032112 (2015)ADSCrossRef
47.
go back to reference Cimmarusti, A.D., Yan, Z., Patterson, B.D., Corcos, L.P., Orozco, L.A., Deffner, S.: Environment-assisted speed-up of the field evolution in cavity quantum electrodynamics. Phys. Rev. Lett. 114, 233602 (2015)ADSCrossRef Cimmarusti, A.D., Yan, Z., Patterson, B.D., Corcos, L.P., Orozco, L.A., Deffner, S.: Environment-assisted speed-up of the field evolution in cavity quantum electrodynamics. Phys. Rev. Lett. 114, 233602 (2015)ADSCrossRef
48.
50.
go back to reference Santos, L.F., Viola, L.: Advantages of randomization in coherent quantum dynamical control. New J. Phys. 10, 083009 (2008)ADSCrossRef Santos, L.F., Viola, L.: Advantages of randomization in coherent quantum dynamical control. New J. Phys. 10, 083009 (2008)ADSCrossRef
51.
go back to reference Facchi, P., Lidar, D.A., Pascazio, S.: Unification of dynamical decoupling and the quantum Zeno effect. Phys. Rev. A 69, 032314 (2004)ADSCrossRef Facchi, P., Lidar, D.A., Pascazio, S.: Unification of dynamical decoupling and the quantum Zeno effect. Phys. Rev. A 69, 032314 (2004)ADSCrossRef
52.
go back to reference Rossini, D., Facchi, P., Fazio, R., Florio, G., Lidar, D.A., Pascazio, S., Plastina, F., Zanardi, P.: Bang-bang control of a qubit coupled to a quantum critical spin bath. Phys. Rev. A 77, 052112 (2008)ADSCrossRef Rossini, D., Facchi, P., Fazio, R., Florio, G., Lidar, D.A., Pascazio, S., Plastina, F., Zanardi, P.: Bang-bang control of a qubit coupled to a quantum critical spin bath. Phys. Rev. A 77, 052112 (2008)ADSCrossRef
53.
go back to reference Chaudhry, A.Z., Gong, J.: Protecting and enhancing spin squeezing via continuous dynamical decoupling. Phys. Rev. A 86, 012311 (2012)ADSCrossRef Chaudhry, A.Z., Gong, J.: Protecting and enhancing spin squeezing via continuous dynamical decoupling. Phys. Rev. A 86, 012311 (2012)ADSCrossRef
54.
go back to reference Uhrig, G.S.: Keeping a quantum bit alive by optimized \(\pi \)-pulse sequences. Phys. Rev. Lett. 98, 100504 (2007)ADSCrossRef Uhrig, G.S.: Keeping a quantum bit alive by optimized \(\pi \)-pulse sequences. Phys. Rev. Lett. 98, 100504 (2007)ADSCrossRef
55.
go back to reference Uhrig, G.S.: Exact results on dynamical decoupling by \(\pi \) pulses in quantum information processes. New J. Phys. 10, 083024 (2008)ADSCrossRef Uhrig, G.S.: Exact results on dynamical decoupling by \(\pi \) pulses in quantum information processes. New J. Phys. 10, 083024 (2008)ADSCrossRef
56.
go back to reference Pasini, S., Fischer, T., Karbach, P., Uhrig, G.S.: Optimization of short coherent control pulses. Phys. Rev. A 77, 032315 (2008)ADSCrossRef Pasini, S., Fischer, T., Karbach, P., Uhrig, G.S.: Optimization of short coherent control pulses. Phys. Rev. A 77, 032315 (2008)ADSCrossRef
57.
go back to reference Witzel, W.M., Sarma, S.D.: Concatenated dynamical decoupling in a solid-state spin bath. Phys. Rev. B 76, 241303 (2007)ADSCrossRef Witzel, W.M., Sarma, S.D.: Concatenated dynamical decoupling in a solid-state spin bath. Phys. Rev. B 76, 241303 (2007)ADSCrossRef
58.
go back to reference Medford, J., Cywinński, L., Barthel, C., Marcus, C.M., Hanson, M.P., Gossard, A.C.: Scaling of dynamical decoupling for spin qubit. Phys. Rev. Lett. 108, 086802 (2012)ADSCrossRef Medford, J., Cywinński, L., Barthel, C., Marcus, C.M., Hanson, M.P., Gossard, A.C.: Scaling of dynamical decoupling for spin qubit. Phys. Rev. Lett. 108, 086802 (2012)ADSCrossRef
59.
go back to reference Khodjasteh, K., Lidar, D.A.: Fault-tolerant quantum dynamical decoupling. Phys. Rev. Lett. 95, 180501 (2005)ADSCrossRefMATH Khodjasteh, K., Lidar, D.A.: Fault-tolerant quantum dynamical decoupling. Phys. Rev. Lett. 95, 180501 (2005)ADSCrossRefMATH
60.
go back to reference Khodjasteh, K., Lidar, D.A.: Performance of deterministic dynamical decoupling schemes: concatenated and periodic pulse sequences. Phys. Rev. A 75, 062310 (2007)ADSCrossRef Khodjasteh, K., Lidar, D.A.: Performance of deterministic dynamical decoupling schemes: concatenated and periodic pulse sequences. Phys. Rev. A 75, 062310 (2007)ADSCrossRef
61.
go back to reference West, J.R., Lidar, D.A., Fong, B.H., Gyure, M.F.: High fidelity quantum gates via dynamical decoupling. Phys. Rev. Lett. 105, 230503 (2010)ADSCrossRef West, J.R., Lidar, D.A., Fong, B.H., Gyure, M.F.: High fidelity quantum gates via dynamical decoupling. Phys. Rev. Lett. 105, 230503 (2010)ADSCrossRef
62.
go back to reference Yang, W., Liu, R.-B.: Universality of Uhrig dynamical decoupling for suppressing qubit pure dephasing and relaxation. Phys. Rev. Lett. 101, 180403 (2008)ADSCrossRef Yang, W., Liu, R.-B.: Universality of Uhrig dynamical decoupling for suppressing qubit pure dephasing and relaxation. Phys. Rev. Lett. 101, 180403 (2008)ADSCrossRef
63.
go back to reference Gordon, G., Kurizki, G.: Preventing multipartite disentanglement by local modulations. Phys. Rev. Lett. 97, 110503 (2006)ADSCrossRef Gordon, G., Kurizki, G.: Preventing multipartite disentanglement by local modulations. Phys. Rev. Lett. 97, 110503 (2006)ADSCrossRef
64.
go back to reference Gordon, G.: Dynamical decoherence control of multi-partite systems. J. Phys. B 42, 223001 (2009)ADSCrossRef Gordon, G.: Dynamical decoherence control of multi-partite systems. J. Phys. B 42, 223001 (2009)ADSCrossRef
65.
go back to reference Du, J., Rong, X., Zhao, N., Wang, Y., Yang, J., Liu, R.-B.: Preserving electron spin coherence in solids by optimal dynamical decoupling. Nature (London) 461, 1265 (2009)ADSCrossRef Du, J., Rong, X., Zhao, N., Wang, Y., Yang, J., Liu, R.-B.: Preserving electron spin coherence in solids by optimal dynamical decoupling. Nature (London) 461, 1265 (2009)ADSCrossRef
66.
go back to reference Jing, J., Wu, L.-A., You, J.Q., Yu, T.: Nonperturbative quantum dynamical decoupling. Phys. Rev. A 88, 022333 (2013)ADSCrossRef Jing, J., Wu, L.-A., You, J.Q., Yu, T.: Nonperturbative quantum dynamical decoupling. Phys. Rev. A 88, 022333 (2013)ADSCrossRef
67.
go back to reference Tan, Q.-S., Huang, Y., Yin, X., Kuang, L.-M., Wang, X.: Enhancement of parameter-estimation precision in noisy systems by dynamical decoupling pulses. Phys. Rev. A 87, 032102 (2013)ADSCrossRef Tan, Q.-S., Huang, Y., Yin, X., Kuang, L.-M., Wang, X.: Enhancement of parameter-estimation precision in noisy systems by dynamical decoupling pulses. Phys. Rev. A 87, 032102 (2013)ADSCrossRef
68.
go back to reference Tan, Q.-S., Huang, Y., Kuang, L.-M., Wang, X.: Dephasing-assisted parameter estimation in the presence of dynamical decoupling. Phys. Rev. A 89, 063604 (2014)ADSCrossRef Tan, Q.-S., Huang, Y., Kuang, L.-M., Wang, X.: Dephasing-assisted parameter estimation in the presence of dynamical decoupling. Phys. Rev. A 89, 063604 (2014)ADSCrossRef
69.
go back to reference Zhang, W., Hu, J.-L., Zhuang, J., You, J.Q., Liu, R.-B.: Protection of center-spin coherence by a dynamically polarized nuclear spin core. Phys. Rev. B 82, 045314 (2010)ADSCrossRef Zhang, W., Hu, J.-L., Zhuang, J., You, J.Q., Liu, R.-B.: Protection of center-spin coherence by a dynamically polarized nuclear spin core. Phys. Rev. B 82, 045314 (2010)ADSCrossRef
70.
go back to reference Wang, Z.-Y., Liu, R.-B.: Protection of quantum systems by nested dynamical decoupling. Phys. Rev. A 83, 022306 (2011)ADSCrossRef Wang, Z.-Y., Liu, R.-B.: Protection of quantum systems by nested dynamical decoupling. Phys. Rev. A 83, 022306 (2011)ADSCrossRef
71.
go back to reference Yang, W., Wang, Z.-Y., Liu, R.-B.: Preserving qubit coherence by dynamical decoupling. Frontiers Phys. China 6, 2 (2011)ADS Yang, W., Wang, Z.-Y., Liu, R.-B.: Preserving qubit coherence by dynamical decoupling. Frontiers Phys. China 6, 2 (2011)ADS
72.
go back to reference Breuer, H.-P., Petruccione, F.: The Theory of Open Quantum Systems. Oxford University Press, Oxford (2002)MATH Breuer, H.-P., Petruccione, F.: The Theory of Open Quantum Systems. Oxford University Press, Oxford (2002)MATH
73.
go back to reference Breuer, H.-P., Laine, E.-M., Piilo, J.: Measure for the degree of non-Markovian behavior of quantum processes in open systems. Phys. Rev. Lett. 103, 210401 (2009)ADSMathSciNetCrossRef Breuer, H.-P., Laine, E.-M., Piilo, J.: Measure for the degree of non-Markovian behavior of quantum processes in open systems. Phys. Rev. Lett. 103, 210401 (2009)ADSMathSciNetCrossRef
74.
go back to reference Laine, E.-M., Piilo, J., Breuer, H.-P.: Measure for the non-Markovianity of quantum processes. Phys. Rev. A 81, 062115 (2010)ADSCrossRef Laine, E.-M., Piilo, J., Breuer, H.-P.: Measure for the non-Markovianity of quantum processes. Phys. Rev. A 81, 062115 (2010)ADSCrossRef
75.
go back to reference Wissmann, S., Karlsson, A., Laine, E.-M., Piilo, J., Breuer, H.-P.: Optimal state pairs for non-Markovian quantum dynamics. Phys. Rev. A 86, 062108 (2012)ADSCrossRef Wissmann, S., Karlsson, A., Laine, E.-M., Piilo, J., Breuer, H.-P.: Optimal state pairs for non-Markovian quantum dynamics. Phys. Rev. A 86, 062108 (2012)ADSCrossRef
76.
go back to reference Wang, G.-Y., Tang, N., Liu, Y., Zeng, H.-S.: Rotation of Bloch sphere induced by Lamb shift in open two-level systems. Chin. Phys. B. 24(5), 050302 (2015)ADSCrossRef Wang, G.-Y., Tang, N., Liu, Y., Zeng, H.-S.: Rotation of Bloch sphere induced by Lamb shift in open two-level systems. Chin. Phys. B. 24(5), 050302 (2015)ADSCrossRef
77.
go back to reference Zeng, H.-S., Tang, N., Zheng, Y.-P., Wang, G.-Y.: Equivalence of the measures of non-Markovianity for open two-level systems. Phys. Rev. A 84, 032118 (2011)ADSCrossRef Zeng, H.-S., Tang, N., Zheng, Y.-P., Wang, G.-Y.: Equivalence of the measures of non-Markovianity for open two-level systems. Phys. Rev. A 84, 032118 (2011)ADSCrossRef
78.
go back to reference Tang, N., Cheng, W., Zeng, H.-S.: Coherence, correlation and non-Markovianity in qubit systems. Eur. Phys. J. D 68, 278 (2014)ADSCrossRef Tang, N., Cheng, W., Zeng, H.-S.: Coherence, correlation and non-Markovianity in qubit systems. Eur. Phys. J. D 68, 278 (2014)ADSCrossRef
79.
go back to reference He, Z., Zou, J., Li, L., Shao, B.: Effective method of calculating the non-Markovianity \({\cal {N}}\) for single-channel open systems. Phys. Rev. A 83, 012108 (2011)ADSCrossRef He, Z., Zou, J., Li, L., Shao, B.: Effective method of calculating the non-Markovianity \({\cal {N}}\) for single-channel open systems. Phys. Rev. A 83, 012108 (2011)ADSCrossRef
80.
go back to reference Xu, Z.-Y., Yang, W.-L., Feng, M.: Proposed method for direct measurement of the non-Markovian character of the qubits coupled to bosonic reservoirs. Phys. Rev. A 81, 044105 (2010)ADSCrossRef Xu, Z.-Y., Yang, W.-L., Feng, M.: Proposed method for direct measurement of the non-Markovian character of the qubits coupled to bosonic reservoirs. Phys. Rev. A 81, 044105 (2010)ADSCrossRef
81.
go back to reference Thorwart, M., Hartmann, L., Goychuk, I., Hänggi, P.: Controlling decoherence of a two-level atom in a lossy cavity. J. Mod. Opt. 47, 2905 (2000)ADSCrossRef Thorwart, M., Hartmann, L., Goychuk, I., Hänggi, P.: Controlling decoherence of a two-level atom in a lossy cavity. J. Mod. Opt. 47, 2905 (2000)ADSCrossRef
82.
go back to reference 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
83.
go back to reference Chiorescu, I., Nakamura, Y., Harmans, C.J.P.M., Mooij, J.E.: Coherent quantum dynamics of a superconducting flux qubit. Science 299, 1869 (2003)ADSCrossRef Chiorescu, I., Nakamura, Y., Harmans, C.J.P.M., Mooij, J.E.: Coherent quantum dynamics of a superconducting flux qubit. Science 299, 1869 (2003)ADSCrossRef
84.
go back to reference Chiorescu, I., Bertet, P., Semba, K., Nakamura, Y., Harmans, C.J.P.M., Mooij, J.E.: Coherent dynamics of a flux qubit coupled to a harmonic oscillator. Nature 431, 159 (2004)ADSCrossRef Chiorescu, I., Bertet, P., Semba, K., Nakamura, Y., Harmans, C.J.P.M., Mooij, J.E.: Coherent dynamics of a flux qubit coupled to a harmonic oscillator. Nature 431, 159 (2004)ADSCrossRef
85.
go back to reference Wallraff, A., Schuster, D.I., Blais, A., Frunzio, L., Huang, R.-S., Majer, J., Kumar, S., Girvin, S.M., Schoelkopf, R.J.: Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics. Nature 431, 162 (2004)ADSCrossRef Wallraff, A., Schuster, D.I., Blais, A., Frunzio, L., Huang, R.-S., Majer, J., Kumar, S., Girvin, S.M., Schoelkopf, R.J.: Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics. Nature 431, 162 (2004)ADSCrossRef
86.
go back to reference Leibfried, D., Blatt, R., Monroe, C., Wineland, D.: Quantum dynamics of single trapped ions. Rev. Mod. Phys. 75, 281 (2003)ADSCrossRef Leibfried, D., Blatt, R., Monroe, C., Wineland, D.: Quantum dynamics of single trapped ions. Rev. Mod. Phys. 75, 281 (2003)ADSCrossRef
87.
go back to reference Loss, D., DiVincenzo, D.P.: Quantum computation with quantum dots. Phys. Rev. A 57, 120 (1998)ADSCrossRef Loss, D., DiVincenzo, D.P.: Quantum computation with quantum dots. Phys. Rev. A 57, 120 (1998)ADSCrossRef
88.
go back to reference Doherty, M.W., Manson, N.B., Delaney, P., Jelezko, F., Wrachtrup, J., Hollenberg, L.C.L.: The nitrogen-vacancy colour centre in diamond. Phys. Rep. 528, 1 (2013)ADSCrossRef Doherty, M.W., Manson, N.B., Delaney, P., Jelezko, F., Wrachtrup, J., Hollenberg, L.C.L.: The nitrogen-vacancy colour centre in diamond. Phys. Rep. 528, 1 (2013)ADSCrossRef
89.
go back to reference Bylander, J., Gustavsson, S., Yan, F., Yoshihara, F., Harrabi, K., Fitch, G., Cory, D.G., Nakamura, Y., Tsai, J.-S., Oliver, W.D.: Noise spectroscopy through dynamical decoupling with a superconducting flux qubit. Nat. Phys. 7, 565 (2011)CrossRef Bylander, J., Gustavsson, S., Yan, F., Yoshihara, F., Harrabi, K., Fitch, G., Cory, D.G., Nakamura, Y., Tsai, J.-S., Oliver, W.D.: Noise spectroscopy through dynamical decoupling with a superconducting flux qubit. Nat. Phys. 7, 565 (2011)CrossRef
90.
go back to reference Biercuk, M.J., Uys, H., VanDevender, A.P., Shiga, N., Itano, W.M., Bollinger, J.J.: Experimental Uhrig dynamical decoupling using trapped ions. Phys. Rev. A 79, 062324 (2009)ADSCrossRef Biercuk, M.J., Uys, H., VanDevender, A.P., Shiga, N., Itano, W.M., Bollinger, J.J.: Experimental Uhrig dynamical decoupling using trapped ions. Phys. Rev. A 79, 062324 (2009)ADSCrossRef
91.
go back to reference Naydenov, B., Dolde, F., Hall, L.T., Shin, C., Fedder, H., Hollenberg, L.C.L., Jelezko, F., Wrachtrup, J.: Dynamical decoupling of a single-electron spin at room temperature. Phys. Rev. B 83, 081201 (2011)ADSCrossRef Naydenov, B., Dolde, F., Hall, L.T., Shin, C., Fedder, H., Hollenberg, L.C.L., Jelezko, F., Wrachtrup, J.: Dynamical decoupling of a single-electron spin at room temperature. Phys. Rev. B 83, 081201 (2011)ADSCrossRef
92.
go back to reference Bar-Gill, N., Pham, L.M., Jarmola, A., Budker, D., Walsworth, R.L.: Solid-state electronic spin coherence time approaching one second. Nat. Commun. 4, 1743 (2013)ADSCrossRef Bar-Gill, N., Pham, L.M., Jarmola, A., Budker, D., Walsworth, R.L.: Solid-state electronic spin coherence time approaching one second. Nat. Commun. 4, 1743 (2013)ADSCrossRef
93.
go back to reference de Lange, G., Wang, Z.H., Ristè, D., Dobrovitski, V.V., Hanson, R.: Universal dynamical decoupling of a single solid-state spin from a spin bath. Science 330, 60 (2010)ADSCrossRef de Lange, G., Wang, Z.H., Ristè, D., Dobrovitski, V.V., Hanson, R.: Universal dynamical decoupling of a single solid-state spin from a spin bath. Science 330, 60 (2010)ADSCrossRef
94.
go back to reference Ryan, C.A., Hodges, J.S., Cory, D.G.: Robust decoupling techniques to extend quantum coherence in diamond. Phys. Rev. Lett. 105, 200402 (2010)ADSCrossRef Ryan, C.A., Hodges, J.S., Cory, D.G.: Robust decoupling techniques to extend quantum coherence in diamond. Phys. Rev. Lett. 105, 200402 (2010)ADSCrossRef
Metadata
Title
Quantum speedup of uncoupled multiqubit open system via dynamical decoupling pulses
Authors
Ya-Ju Song
Le-Man Kuang
Qing-Shou Tan
Publication date
01-06-2016
Publisher
Springer US
Published in
Quantum Information Processing / Issue 6/2016
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-016-1291-2

Other articles of this Issue 6/2016

Quantum Information Processing 6/2016 Go to the issue