Skip to main content
Top
Published in: Quantum Information Processing 6/2013

01-06-2013

Control and manipulation of entanglement between two coupled qubits by fast pulses

Authors: Ferdi Altintas, Resul Eryigit

Published in: Quantum Information Processing | Issue 6/2013

Log in

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

search-config
loading …

Abstract

We have investigated the analytical and numerical dynamics of entanglement for two qubits that interact with each other via Heisenberg XXX-type interaction and subject to local time-specific external kick and Gaussian pulse-type magnetic fields in \(x\)\(y\) plane. The qubits have been assumed to be initially prepared in different pure separable and maximally entangled states and the effect of the strength and the direction of external fast pulses on concurrence has been investigated. The carefully designed kick or pulse sequences are found to enable one to obtain constant long-lasting entanglement with desired magnitude. Moreover, the time ordering effects are found to be important in the creation and manipulation of entanglement by external fields.

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
1.
go back to reference Nielson, M., Chuang, I.: Quantum Computation and Quantum Communication. Cambridge University Press, England (2000) Nielson, M., Chuang, I.: Quantum Computation and Quantum Communication. Cambridge University Press, England (2000)
2.
go back to reference Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 70, 1895 (1993)MathSciNetADSMATHCrossRef Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 70, 1895 (1993)MathSciNetADSMATHCrossRef
4.
go back to reference Gruska, J.: Quantum Computing. McGraw-Hill, New York (1999) Gruska, J.: Quantum Computing. McGraw-Hill, New York (1999)
5.
go back to reference Loss, D., Di-Vicenzo, D.P.: Quantum computation with quantum dots. Phys. Rev. A 57, 120 (1998)ADSCrossRef Loss, D., Di-Vicenzo, D.P.: Quantum computation with quantum dots. Phys. Rev. A 57, 120 (1998)ADSCrossRef
6.
go back to reference Kane, B.: A silicon-based nuclear spin quantum computer. Nature (London) 393, 133 (1998)ADSCrossRef Kane, B.: A silicon-based nuclear spin quantum computer. Nature (London) 393, 133 (1998)ADSCrossRef
7.
go back to reference Vrijen, R., et al.: Electron-spin-resonance transistors for quantum computing in silicon-germanium heterostructures. Phys. Rev. A 62, 012306 (2000)ADSCrossRef Vrijen, R., et al.: Electron-spin-resonance transistors for quantum computing in silicon-germanium heterostructures. Phys. Rev. A 62, 012306 (2000)ADSCrossRef
8.
go back to reference Sorensen, A., et al.: Many-particle entanglement with Bose-Einstein condensates. Nature (London) 409, 63 (2001)ADSCrossRef Sorensen, A., et al.: Many-particle entanglement with Bose-Einstein condensates. Nature (London) 409, 63 (2001)ADSCrossRef
9.
go back to reference Wu, L.A., Lidar, D.A., Friesen, M.: One-spin quantum logic gates from exchange interactions and a global magnetic field. Phys. Rev. Lett. 93, 030501 (2004)ADSCrossRef Wu, L.A., Lidar, D.A., Friesen, M.: One-spin quantum logic gates from exchange interactions and a global magnetic field. Phys. Rev. Lett. 93, 030501 (2004)ADSCrossRef
10.
go back to reference Imamoglu, A., et al.: Quantum information processing using quantum dot spins and cavity QED. Phys. Rev. Lett. 83, 4204 (1999)ADSCrossRef Imamoglu, A., et al.: Quantum information processing using quantum dot spins and cavity QED. Phys. Rev. Lett. 83, 4204 (1999)ADSCrossRef
12.
go back to reference Sadiek, G., Lashin, E.I., Abdalla, M.S.: Entanglement of a two-qubit system with anisotropic XYZ exchange coupling in a nonuniform time-dependent external magnetic field. Physica B 404, 1719 (2009)ADSCrossRef Sadiek, G., Lashin, E.I., Abdalla, M.S.: Entanglement of a two-qubit system with anisotropic XYZ exchange coupling in a nonuniform time-dependent external magnetic field. Physica B 404, 1719 (2009)ADSCrossRef
13.
go back to reference Wang, X., Bayat, A., Schirmer, S.G., Bose, S.: Robust entanglement in antiferromagnetic Heisenberg chains by single-spin optimal control. Phys. Rev. A 81, 032312 (2010)ADSCrossRef Wang, X., Bayat, A., Schirmer, S.G., Bose, S.: Robust entanglement in antiferromagnetic Heisenberg chains by single-spin optimal control. Phys. Rev. A 81, 032312 (2010)ADSCrossRef
14.
go back to reference Abliz, A., Gao, J.H., Xie, X.C., Wu, Y.S., Liu, W.M.: Entanglement control in an anisotropic two-qubit Heisenberg XYZ model with external magnetic fields. Phys. Rev. A 74, 052105 (2006)ADSCrossRef Abliz, A., Gao, J.H., Xie, X.C., Wu, Y.S., Liu, W.M.: Entanglement control in an anisotropic two-qubit Heisenberg XYZ model with external magnetic fields. Phys. Rev. A 74, 052105 (2006)ADSCrossRef
15.
go back to reference Wang, X.: Entanglement in the quantum Heisenberg XY model. Phys. Rev. A 64, 012313 (2001)ADSCrossRef Wang, X.: Entanglement in the quantum Heisenberg XY model. Phys. Rev. A 64, 012313 (2001)ADSCrossRef
16.
go back to reference Sainz, I., Burlak, G., Klimov, A.B.: Transient entanglement in a spin chain stimulated by phase pulses. ArXiv:quant-ph/1008.2784 (2010) Sainz, I., Burlak, G., Klimov, A.B.: Transient entanglement in a spin chain stimulated by phase pulses. ArXiv:quant-ph/1008.2784 (2010)
17.
go back to reference Huang, Z., Kais, S.: Dynamics of entanglement for one-dimensional spin systems in an external time-dependent magnetic field. Int. J. Quantum Inf. 3, 483 (2005)MATHCrossRef Huang, Z., Kais, S.: Dynamics of entanglement for one-dimensional spin systems in an external time-dependent magnetic field. Int. J. Quantum Inf. 3, 483 (2005)MATHCrossRef
18.
go back to reference Huang, Z., Kais, S.: Entanglement evolution of one-dimensional spin systems in external magnetic fields. Phys. Rev. A 73, 022339 (2006)ADSCrossRef Huang, Z., Kais, S.: Entanglement evolution of one-dimensional spin systems in external magnetic fields. Phys. Rev. A 73, 022339 (2006)ADSCrossRef
19.
go back to reference Blaauboer, M., Di-Vincenzo, D.P.: Detecting entanglement using a double-quantum-dot turnstile. Phys. Rev. Lett. 95, 160402 (2005)ADSCrossRef Blaauboer, M., Di-Vincenzo, D.P.: Detecting entanglement using a double-quantum-dot turnstile. Phys. Rev. Lett. 95, 160402 (2005)ADSCrossRef
20.
go back to reference Altintas, F., Eryigit, R.: Entanglement dynamics of two qubits under the influence of external kicks and Gaussian pulses. J. Phys. A Math. Theor. 44, 405302 (2011)MathSciNetCrossRef Altintas, F., Eryigit, R.: Entanglement dynamics of two qubits under the influence of external kicks and Gaussian pulses. J. Phys. A Math. Theor. 44, 405302 (2011)MathSciNetCrossRef
21.
go back to reference Alkurtas, B., Sadiek, G., Kais, S.: Entanglement dynamics of one-dimensional driven spin systems in time-varying magnetic fields. Phys. Rev. A 84, 022314 (2011)ADSCrossRef Alkurtas, B., Sadiek, G., Kais, S.: Entanglement dynamics of one-dimensional driven spin systems in time-varying magnetic fields. Phys. Rev. A 84, 022314 (2011)ADSCrossRef
22.
go back to reference Kaplan, L., Shakov, K.K., Chalastaras, A., Maggio, M., Burin, A.L., McGuire, J.H.: Time ordering in kicked qubits. Phys. Rev. A 70, 063401 (2004)ADSCrossRef Kaplan, L., Shakov, K.K., Chalastaras, A., Maggio, M., Burin, A.L., McGuire, J.H.: Time ordering in kicked qubits. Phys. Rev. A 70, 063401 (2004)ADSCrossRef
23.
go back to reference Shakov, K.K., McGuire, J.H., Kaplan, L., Uskov, D., Chalastaras, A.: Sudden switching in two-state systems. J. Phys. B At. Mol. Opt. Phys. 39, 1361 (2006)ADSCrossRef Shakov, K.K., McGuire, J.H., Kaplan, L., Uskov, D., Chalastaras, A.: Sudden switching in two-state systems. J. Phys. B At. Mol. Opt. Phys. 39, 1361 (2006)ADSCrossRef
24.
go back to reference Wei, L.F., Johansson, J.R., Cen, L.X., Ashhab, S., Nori, F.: Controllable coherent population transfers in superconducting qubits for quantum computing. Phys. Rev. Lett. 100, 113601 (2008) Wei, L.F., Johansson, J.R., Cen, L.X., Ashhab, S., Nori, F.: Controllable coherent population transfers in superconducting qubits for quantum computing. Phys. Rev. Lett. 100, 113601 (2008)
25.
go back to reference Wang, Y., Cao, J., Wang, Y.: Tunable entanglement of two-qubit XY model with in-plane magnetic fields. Phys. Lett. A 342, 375 (2005)ADSMATHCrossRef Wang, Y., Cao, J., Wang, Y.: Tunable entanglement of two-qubit XY model with in-plane magnetic fields. Phys. Lett. A 342, 375 (2005)ADSMATHCrossRef
26.
go back to reference Leandro, J.F., de-Castro, A.S.M., Munhoz, P.P., Semiao, F.L.: Active control of qubit-qubit entanglement evolution. Phys. Lett. A 374, 4199 (2010) Leandro, J.F., de-Castro, A.S.M., Munhoz, P.P., Semiao, F.L.: Active control of qubit-qubit entanglement evolution. Phys. Lett. A 374, 4199 (2010)
27.
go back to reference Godunov, A.L., McGuire, J.H.: Independent time approximation for dynamically interacting multi-electron systems. J. Phys. B At. Mol. Opt. Phys. 34, L223 (2001)ADSCrossRef Godunov, A.L., McGuire, J.H.: Independent time approximation for dynamically interacting multi-electron systems. J. Phys. B At. Mol. Opt. Phys. 34, L223 (2001)ADSCrossRef
28.
go back to reference Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245 (1998)ADSCrossRef Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245 (1998)ADSCrossRef
30.
go back to reference Jones, J.A., Hansen, R.H., Mosca, M.: Quantum logic gates and nuclear magnetic resonance pulse sequences. J. Magn. Reson. 135, 353 (1998) Jones, J.A., Hansen, R.H., Mosca, M.: Quantum logic gates and nuclear magnetic resonance pulse sequences. J. Magn. Reson. 135, 353 (1998)
31.
go back to reference Vandersypen, L.M.K., et al.: Experimental realization of Shor’s quantum factoring algorithm using nuclear magnetic resonance. Nature 414, 883 (2001)ADSCrossRef Vandersypen, L.M.K., et al.: Experimental realization of Shor’s quantum factoring algorithm using nuclear magnetic resonance. Nature 414, 883 (2001)ADSCrossRef
32.
go back to reference Slichter, C.P.: Principles of Magnetic Resonance. Springer, Berlin (1996) Slichter, C.P.: Principles of Magnetic Resonance. Springer, Berlin (1996)
33.
go back to reference Kosloff, R., Hammerich, A.D., Tannor, D.: Excitation without demolition: radiative excitation of ground-surface vibration by impulsive stimulated Raman scattering with damage control. Phys. Rev. Lett. 69, 2172 (1992)ADSCrossRef Kosloff, R., Hammerich, A.D., Tannor, D.: Excitation without demolition: radiative excitation of ground-surface vibration by impulsive stimulated Raman scattering with damage control. Phys. Rev. Lett. 69, 2172 (1992)ADSCrossRef
34.
go back to reference Shi, S., Woody, A., Rabitz, H.: Optimal control of selective vibrational excitation in harmonic linear chain molecules. J. Chem. Phys. 88, 6870 (1988)ADSCrossRef Shi, S., Woody, A., Rabitz, H.: Optimal control of selective vibrational excitation in harmonic linear chain molecules. J. Chem. Phys. 88, 6870 (1988)ADSCrossRef
35.
go back to reference Palao, J., Kosloff, R.: Quantum computing by an optimal control algorithm for unitary transformations. Phys. Rev. Lett. 89, 188301 (2002)ADSCrossRef Palao, J., Kosloff, R.: Quantum computing by an optimal control algorithm for unitary transformations. Phys. Rev. Lett. 89, 188301 (2002)ADSCrossRef
36.
go back to reference Ollivier, H., Zurek, W.: Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88, 017901 (2001)ADSCrossRef Ollivier, H., Zurek, W.: Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88, 017901 (2001)ADSCrossRef
Metadata
Title
Control and manipulation of entanglement between two coupled qubits by fast pulses
Authors
Ferdi Altintas
Resul Eryigit
Publication date
01-06-2013
Publisher
Springer US
Published in
Quantum Information Processing / Issue 6/2013
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-012-0522-4

Other articles of this Issue 6/2013

Quantum Information Processing 6/2013 Go to the issue