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 11/2013

01.11.2013

Quantum discord in spin systems with dipole–dipole interaction

verfasst von: E. I. Kuznetsova, M. A. Yurischev

Erschienen in: Quantum Information Processing | Ausgabe 11/2013

Einloggen

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

search-config
loading …

Abstract

The behavior of total quantum correlations (discord) in dimers consisting of dipolar-coupled spins 1/2 are studied. We found that the discord \(Q=0\) at absolute zero temperature. As the temperature \(T\) increases, the quantum correlations in the system increase at first from zero to its maximum and then decrease to zero according to the asymptotic law \(T^{-2}\). It is also shown that in absence of external magnetic field \(B\), the classical correlations \(C\) at \(T\rightarrow 0\) are, vice versa, maximal. Our calculations predict that in crystalline gypsum \(\hbox {CaSO}_{4}\cdot \hbox {2H}_{2}{\hbox {O}}\) the value of natural \((B=0)\) quantum discord between nuclear spins of hydrogen atoms is maximal at the temperature of 0.644 \(\upmu \)K, and for 1,2-dichloroethane \(\hbox {H}_{2}\)ClC–\(\hbox {CH}_{2}{\hbox {Cl}}\) the discord achieves the largest value at \(T=0.517~\upmu \)K. In both cases, the discord equals \(Q\approx 0.083\) bit/dimer what is \(8.3\,\%\) of its upper limit in two-qubit systems. We estimate also that for gypsum at room temperature \(Q\sim 10^{-18}\) bit/dimer, and for 1,2-dichloroethane at \(T=90\) K the discord is \(Q\sim 10^{-17}\) bit per a dimer.
Vorheriger Artikel Dynamics of one-dimensional tight-binding models with arbitrary time-dependent external homogeneous fields
Nächster Artikel Classical communication and non-classical fidelity of quantum teleportation

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.
2.
3.
Ollivier, H., Zurek, W.H.: Dynamics of quantum phase transition in an array of Josephson junctions. Phys. Rev. Lett. 88(017901), 1–4 (2001)
4.
Vedral, V.: Classical correlations and entanglement in quantum measurements. Phys. Rev. Lett. 90(050401), 1–4 (2003)MathSciNet
5.
Zurek, W.H.: Quantum discord and Maxwell’s demons. Phys. Rev. A 67(012320), 1–6 (2003)
6.
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)MATH
7.
Valiev, K.A., Kokin, A.A.: Quantum computers: hopes and reality. Research Center “Regular and Chaotic Dynamics”. Moscow and Izhevsk (2002) (in Russian)
8.
9.
10.
11.
Datta, A., Shaji, A., Caves, C.M.: Quantum discord and the power of one qubit. Phys. Rev. Lett. 100(050502), 1–4 (2008)
12.
Lanyon, B.P., Barbieri, M., Almeida, M.P., White, A.G.: Experimental quantum computing without entanglement. Phys. Rev. Lett. 101(200501), 1–4 (2008)
13.
Dillenschneider, R.: Quantum discord and quantum phase transition in spin chains. Phys. Rev. B 78(224413), 1–7 (2008)
14.
Sarandy, M.S.: Classical correlation and quantum discord in critical systems. Phys. Rev. A 80(022108), 1–9 (2009)
15.
Werlang, T., Trippe, C., Ribeiro, G.A.P., Rigolin, G.: Quantum correlations in spin chains at finite temperatures and quantum phase transitions. Phys. Rev. Lett. 105(095702), 1–4 (2010)
16.
Ferraro, A., Aolita, L., Cavalcanti, D., Cucchietti, F.M., Acín, A.: Almost all quantum states have nonclassical correlations. Phys. Rev. A 81(052318), 1–6 (2010)
17.
Céleri, L.C., Maziero, J., Serra, R.M.: Theoretical and experimental aspects of quantum discord and related measuresares. Int. J. Quantum Inf. 9, 1837–1873 (2011)MathSciNetCrossRefMATH
18.
Modi, K., Brodutch, A., Cable, H., Paterik, T., Vedral, V.: The classical-quantum boundary for correlations: discord and related measures. Rev. Mod. Phys. 84, 1655–1707 (2012)CrossRefADS
19.
Khutsishvili, G.R.: Magnetic properties of alum at temperatures below 0,\(1^{0}\). Usp. Fiz. Nauk. 40, 621–624 (1950)
20.
Jensen, J., Mackintosh, A.R.: Rare Earth Magnetism. Structures and Excitations. Clarendon Press, Oxford (1991)
21.
Pake, G.E.: Nuclear resonance absorption in hydrated crystals: fine structure of the proton line. J. Chem. Phys. 16, 327–336 (1948)CrossRefADS
22.
Gutowsky, H.S., Kistiakowsky, G.B., Pake, G.E., Purcell, E.M.: Structural investigations by means of nuclear magnetism. I. Rigid crystal lattices. J. Chem. Phys. 17, 972–981 (1949)CrossRefADS
23.
Abragam, A.: The Principles of Nuclear Magnetism. Clarendon Press, Oxford (1961)
24.
Günter, H.: NMR Spectroscopy. An introduction. Wiley, Chichester (1980)
25.
Korn, G.A., Korn, T.M.: Mathematical Handbook for Scientists and Engineers. McGraw-Hill Book, New York City (1968)
26.
Chistyakov, V.P.: Course of Probability Theory. Nauka, Moscow (1982). (in Russian)
27.
Mityugov, V.V.: Physical Principles of Information Theory. Soviet Radio, Moscow (1976). (in Russian)
28.
29.
Holevo, A.S.: Quantum Systems, Channels, Information. MTsNMO, Moscow (2010). (in Russian)
30.
Holevo, A.S.: Probability and Statistical Aspects of Quantum Theory. MTsNMO, Moscow (2003)
31.
Furman, G.B., Meerovich, V.M., Sokolovsky, V.L.: Entanglement of dipolar coupling spins. Quantum Inf. Process. 10, 307–315 (2011)MathSciNetCrossRefMATH
32.
Furman, G.B., Meerovich, V.M., Sokolovsky, V.L.: Adiabatic demagnetization and generation of entanglement in spin systems. Phys. Lett. A 376, 925–929 (2012)CrossRefADS
33.
34.
Hill, S., Wootters, W.K.: Entanglement of a pair of quantum bits. Phys. Rev. Lett. 78, 5022–5025 (1997)CrossRefADS
35.
Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245–2248 (1998)CrossRefADS
36.
O’Connor, K.M., Wootters, W.K.: Entangled rings. Phys. Rev. A 63(052302), 1–9 (2001)
37.
Fanchini, F.F., Werlang, T., Brasil, C.A., Arruda, L.G.E., Caldeira, A.O.: Non-Markovian dynamics of quantum discord. Phys. Rev. A 81(052107), 1–6 (2010)
38.
Li, B., Wang, Z.-X., Fei, S.-M.: Quantum discord and geometry for a class of two-qubit states. Phys. Rev. A 83(022321), 1–5 (2011)
39.
Luo, S.: Quantum discord for two-qubit systems. Phys. Rev. A 77(042303), 1–6 (2008)
40.
Dakić, B., Vedral, V., Brukner, Č.: Necessary and sufficient condition for nonzero quantum discord. Phys. Rev. Lett. 105(190502), 1–4 (2010)
41.
Dakic, B., Lipp, Y.O., Ma, X., Ringbauer, M., Kropatschek, S., Barz, S., Paterek, T., Vedral, V., Zeilinger, A., Brukner, C., Walther, P.: Quantum discord as optimal resource for quantum communication. arXiv:1203.1629v1 [quant-ph]
42.
Auccaise, R., Maziero, J., Celeri, L.C., Soares-Pinto, D.O., deAzevedo, E.R., Bonagamba, T.J., Sarthour, R.S., Oliveira, I.S., Serra, R.M.: Experimentally witnessing the quantumness of correlations. Phys. Rev. Lett. 107(070501), 1–5 (2011)
43.
Maziero, J., Auccaise, R., Celeri, L.C., Soares-Pinto, D.O., deAzevedo, E.R., Bonagamba, T.J., Sarthour, R.S., Oliveira, I.S., Serra, R.M.: Quantum discord in nuclear magnetic resonance systems at room temperature. Braz. J. Phys. 43, 86–104 (2013). arXiv:1212.2427v1 [quant-ph]CrossRefADS
44.
Passante, G., Moussa, O., Trottier, D.A., Laflamme, R.: Experimental detection of nonclassical correlations in mixed-state quantum computation. Phys. Rev. A 84(044302), 1–4 (2011)
45.
Katiyar, H., Roy, S.S., Mahesh, T.S., Patel, A.: Evolution of quantum discord and its stability in two-qubit NMR systems. Phys. Rev. A 86(012309), 1–8 (2012)
46.
Alexandrov, N.M., Skripov, F.I.: Structural studies of crystals by nuclear magnetic resonance. Usp. Fiz. Nauk 75, 585–628 (1961)CrossRef
47.
Zhang, J., Ditty, M., Burgarth, D., Ryan, C.A., Chandrashekar, C.M., Laforest, M., Moussa, O., Baugh, J., Laflamme, R.: Quantum data bus in dipolar coupled nuclear spin qubits. Phys. Rev. A 80(012316), 1–5 (2009)
Metadaten
Titel
Quantum discord in spin systems with dipole–dipole interaction
verfasst von
E. I. Kuznetsova
M. A. Yurischev
Publikationsdatum
01.11.2013
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 11/2013
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-013-0617-6

Weitere Artikel der Ausgabe 11/2013

Quantum Information Processing 11/2013 Zur Ausgabe

OriginalPaper

Improvements on “multiparty quantum key agreement with single particles”

OriginalPaper

Multiparty quantum remote control

OriginalPaper

Remote information concentration via state: reverse of ancilla-free phase-covariant telecloning

OriginalPaper

Robust preparation of four-qubit decoherence-free states for superconducting quantum interference devices against collective amplitude damping

OriginalPaper

A new sure-success generalization of Grover iteration and its application to weight decision problem of Boolean functions

OriginalPaper

Linear dependencies in Weyl–Heisenberg orbits

Neuer Inhalt

    Bildnachweise