Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Quantum Information Processing
Erschienen in: Quantum Information Processing 11/2016

01.11.2016

Theoretical approach to characterize the non-Markovianity and diffusion through the influx of the information

verfasst von: K. Berrada

Erschienen in: Quantum Information Processing | Ausgabe 11/2016

Einloggen

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

search-config
loading …

Abstract

In this paper, we study the Fisher information for a quantum system consisting of two identical qubits, each of them locally interacting with a bosonic reservoir in the same environment for non-Markovian open, dissipative quantum system. Based on the influx of the information, we propose an information-theoretical approach for characterizing the time-dependent memory effect of environment and diffusion function under the effect of the physical parameters. More precisely, an interesting monotonic relation between the time derivative of quantum Fisher information (QFI) and diffusion function behavior is observed during the time evolution. The phenomenon is that the QFI, namely the precision of estimation, changes dramatically with the environment structure. The dependence of the physical parameters shows that the increasing in the temperature will damage the amount of the QFI with respect of the ratio between the reservoir cutoff frequency and the system oscillation frequency.
Vorheriger Artikel Classical–quantum arbitrarily varying wiretap channel: Ahlswede dichotomy, positivity, resources, super-activation
Nächster Artikel Leggett–Garg inequalities for a quantum top affected by classical noise

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!

Jetzt informieren

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!

Jetzt informieren

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!

Jetzt informieren
Literatur
1.
Dorner, U., Demkowicz-Dobrzanski, R., Smith, B.J., Lundeen, J.S., Wasilewski, W., Banaszek, K., Walmsley, I.A.: Optimal quantum phase estimation. Phys. Rev. Lett. 102, 040403 (2009)ADSCrossRef
2.
Demkowicz-Dobrzanski, R., Dorner, U., Smith, B.J., Lundeen, J.S., Wasilewski, W., Banaszek, K., Walmsley, I.A.: Quantum phase estimation with lossy interferometers. Phys. Rev. A 80, 013825 (2009)ADSCrossRef
3.
Leibfried, D., Barrett, M.D., Schaetz, T., Britton, J., Chiaverini, J., Itano, W.M., Jost, J.D., Langer, C., Wineland, D.J.: Toward Heisenberg-limited spectroscopy with multiparticle entangled states. Science 304, 1476 (2004)ADSCrossRef
4.
5.
Rivas, A., Luis, A.: Precision quantum metrology and nonclassicality in linear and nonlinear detection schemes. Phys. Rev. Lett. 105, 010403 (2010)ADSCrossRef
6.
Sun, Z., Ma, J., Lu, X.M., Wang, X.G.: Fisher information in a quantum-critical environment. Phys. Rev. A 82, 022306 (2010)ADSCrossRef
7.
8.
Roos, C.F., Chwalla, M., Kim, K., Riebe, M., Blatt, R.: Designer atoms for quantum metrology. Nature 443, 316 (2006)ADSCrossRef
9.
Huelga, S.F., Macchiavello, C., Pellizzari, T., Ekert, A.K., Plenio, M.B., Cirac, J.I.: Improvement of frequency standards with quantum entanglement. Phys. Rev. Lett. 79, 3865 (1997)ADSCrossRef
10.
Peters, A., Chung, K.Y., Chu, S.: Measurement of gravitational acceleration by dropping atoms. Nature (London) 400, 849 (1999)ADSCrossRef
11.
Jozsa, R., Abrams, D.S., Dowling, J.P., Williams, C.P.: Quantum clock synchronization based on shared prior entanglement. Phys. Rev. Lett. 85, 2010 (2000)ADSCrossRef
12.
Giovannetti, V., Lloyd, S., Maccone, L.: Quantum-enhanced measurements: beating the standard quantum limit. Science 306, 1330 (2004)ADSCrossRef
13.
Dowling, J.: Quantum optical metrology-the lowdown on high-NOON states. Contemp. Phys. 49, 125 (2008)ADSCrossRef
14.
Jones, J.A., Karlen, S.D., Fitzsimons, J., Ardavan, A., Benjamin, S.C., Briggs, G.A.D., Morton, J.J.L.: Magnetic field sensing beyond the standard quantum limit using 10-spin NOON states. Science 324, 1166 (2009)ADSCrossRef
15.
Simmons, S., Jones, J.A., Karlen, S.D., Ardavan, A., Morton, J.J.L.: Magnetic field sensors using 13-spin cat states. Phys. Rev. A 82, 022330 (2010)ADSCrossRef
16.
Higgins, B.L., Berry, D.W., Bartlett, S.D., Wiseman, H.M., Pryde, G.J.: Entanglement-free Heisenberg-limited phase estimation. Nature 450, 393 (2007)ADSCrossRef
17.
Dorner, U., Smith, B.J., Lundeen, J.S., Wasilewski, W., Banaszek, K., Walmsley, I.A.: Quantum phase estimation with lossy interferometers. Phys. Rev. A 80, 013825 (2009)ADSCrossRef
18.
Jha, Pankaj K., Eleuch, Hichem, Rostovtsev, Yuri V.: Coherent control of atomic excitation using off-resonant strong few-cycle pulses. Phys. Rev. A 82, 045805 (2010)ADSCrossRef
19.
Eleuch, H., Rachid, N.: Autocorrelation function of microcavity-emitting field in the non-linear regime. Eur. Phys. J. D 57, 259 (2010)ADSCrossRef
20.
Berrada, K.: Quantum metrology with SU(1,1) coherent states in the presence of nonlinear phase shifts. Phys. Rev. A 88, 013817 (2013)ADSCrossRef
21.
Fisher, R.A.: Theory of statistical estimation. Proc. Camb. Philos. Soc. 22, 700 (1925) [reprinted in Collected Papers of R. A. Fisher, edited by J. H. Bennett (Univ. of Adelaide Press, South Australia, 1972), pp. 15–40]
22.
Cramer, H.: Mathematical Methods of Statistics. Princeton University Press, Princeton (1946)MATH
23.
Breuer, H.-P., Petruccione, F.: The Theory of Open Quantum Systems. Oxford University Press, Oxford (2007)CrossRefMATH
24.
25.
Vasile, R., Olivares, S., Paris, M.G.A., Maniscalco, S.: Continuous-variable quantum key distribution in non-Markovian channels. Phys. Rev. A 83, 042321 (2011)ADSCrossRef
26.
Chin, A.W., Huelga, S.F., Plenio, M.B.: Quantum metrology in non-Markovian environments. Phys. Rev. Lett. 109, 233601 (2012)ADSCrossRef
27.
Laine, E.-M., Breuer, H.-P., Piilo, J.: Nonlocal memory effects allow perfect teleportation with mixed states. Sci. Rep. 4, 4620 (2014)ADSCrossRef
28.
29.
Vacchini, B., et al.: Markovianity and non-Markovianity in quantum and classical systems. New J. Phys. 13, 093004 (2011)ADSCrossRef
30.
Chiuri, A., et al.: Linear optics simulation of quantum non-Markovian dynamics. Sci. Rep. 2, 968 (2012)ADSCrossRef
31.
Benatti, F., Floreanini, R., Olivares, S.: Non-divisibility and non-Markovianity in a Gaussian dissipative dynamics. Phys. Lett. A 376, 2951 (2012)ADSMathSciNetCrossRef
32.
Xu, J.-S., et al.: Experimental recovery of quantum correlations in absence of system-environment back-action. Nat. Commun. 4, 2851 (2013)ADS
33.
Fanchini, F.F., Karpat, G., Castelano, L.K., Rossatto, D.Z.: Probing the degree of non-Markovianity for independent and common environments. Phys. Rev. A 88, 012105 (2013)ADSCrossRef
34.
Rivas, A., Huelga, S.F., Plenio, M.B.: Entanglement and non-Markovianity of quantum evolutions. Phys. Rev. Lett. 105, 050403 (2010)ADSMathSciNetCrossRef
35.
Hou, S.C., Yi, X.X., Yu, S.X., Oh, C.H.: Alternative non-Markovianity measure by divisibility of dynamical maps. Phys. Rev. A 83, 062112 (2011)ADSCrossRef
36.
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
37.
Luo, S., Fu, S., Song, H.: Quantifying non-Markovianity via correlations. Phys. Rev. A 86, 044101 (2012)ADSCrossRef
38.
Rajagopal, A.K., Usha Devi, A.R., Rendell, R.W.: Kraus representation of quantum evolution and fidelity as manifestations of Markovian and non-Markovian forms. Phys. Rev. A 82, 042107 (2010)ADSCrossRef
39.
Zhong, Wei, Sun, Zhe, Ma, Jian, Wang, Xiaoguang, Nori, Franco: Fisher information under decoherence in Bloch representation. Phys. Rev. A 87, 022337 (2013)ADSCrossRef
40.
Ma, Jian, Huang, Yi-xiao, Wang, Xiaoguang, Sun, C.P.: Quantum Fisher information of the Greenberger-Horne-Zeilinger state in decoherence channels. Phys. Rev. A 84, 022302 (2011)ADSCrossRef
41.
Heng-Na, Xiong, Xiaoguang, Wang: Dynamical quantum Fisher information in the Ising model. Phys. A. 390, 4719 (2011)MathSciNetCrossRef
42.
Li, Y.-L., Xiao, X., Yao, Y.: Classical-driving-enhanced parameter-estimation precision of a non-Markovian dissipative two-state system. Phys. Rev. A 91, 052105 (2015)ADSCrossRef
43.
Dhar, H.S., Bera, M.N., Adesso, G.: Characterizing non-Markovianity via quantum interferometric power. Phys. Rev. A 91, 032115 (2015)ADSCrossRef
44.
Song, H., Luo, S., Hong, Y.: Quantum non-Markovianity based on the Fisher-information matrix. Phys. Rev. A 91, 042110 (2015)ADSCrossRef
45.
Lu, X.M., et al.: Quantum Fisher information flow and non-Markovian processes of open systems. Phys. Rev. A 82, 042103 (2010)ADSCrossRef
46.
Haseli, S., et al.: Non-Markovianity through flow of information between a system and an environment. Phys. Rev. A 90, 052118 (2014)ADSCrossRef
47.
Cui, W., Xi, Z.R., Pan, Y.: Optimal decoherence control in non-Markovian open dissipative quantum systems. Phys. Rev. A 77, 032117 (2008)ADSCrossRef
48.
Maniscalco, S., Olivares, S., Paris, M.G.A.: Entanglement oscillations in non-Markovian quantum channels. Phys. Rev. A 75, 062119 (2007)ADSCrossRef
49.
Maniscalco, S., Piilo, J., Intravaia, F., Petruccione, F., Messina, A.: Lindblad-and non-Lindblad-type dynamics of a quantum Brownian particle. Phys. Rev. A 70, 032113 (2004)ADSMathSciNetCrossRefMATH
50.
Zhang, J., Wu, R.B., Li, C.W., Tarn, T.J., Wu, J.W.: Asymptotically noise decoupling for Markovian open quantum systems. Phys. Rev. A 75, 022324 (2007)ADSCrossRef
51.
52.
Leggett, A.J., Chakravarty, S., Dorsey, A.T., Fisher, M.P.A., Garg, A., Zwerger, W.: Dynamics of the dissipative two-state system. Rev. Mod. Phys. 59, 1 (1987)ADSCrossRef
Metadaten
Titel
Theoretical approach to characterize the non-Markovianity and diffusion through the influx of the information
verfasst von
K. Berrada
Publikationsdatum
01.11.2016
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 11/2016
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-016-1417-6

Weitere Artikel der Ausgabe 11/2016

Quantum Information Processing 11/2016 Zur Ausgabe

OriginalPaper

Squashed entanglement and approximate private states

OriginalPaper

Deterministic remote preparation of an arbitrary qubit state using a partially entangled state and finite classical communication

OriginalPaper

High-capacity quantum key distribution using Chebyshev-map values corresponding to Lucas numbers coding

OriginalPaper

Quantum secure direct communication of digital and analog signals using continuum coherent states

OriginalPaper

Negativity in the generalized Valence Bond Solid state

OriginalPaper

Quantum representation and watermark strategy for color images based on the controlled rotation of qubits

Neuer Inhalt

    Bildnachweise