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

01.06.2016

Evaluation of the performance of two state-transfer Hamiltonians in the presence of static disorder

verfasst von: A. K. Pavlis, G. M. Nikolopoulos, P. Lambropoulos

Erschienen in: Quantum Information Processing | Ausgabe 6/2016

Einloggen

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

search-config
loading …

Abstract

We analyze the performance of two quantum-state-transfer Hamiltonians in the presence of diagonal and off-diagonal disorders, and in terms of different measures. The first Hamiltonian pertains to a fully engineered chain, and the second to a chain with modified boundary couplings. The task is to find which Hamiltonian is the most robust to given levels of disorder and irrespective of the input state. In this respect, it is shown that the performances of the two protocols are approximately equivalent.

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!

Fußnoten
1
Strictly speaking, for the spin-analogue Hamiltonian one does not need the assumption for the chain to be initially prepared in the ground (vacuum) state. State transfer is expected to take place irrespective of the initial state of the chain, provided that the input spin (site) is initially decorrelated from the rest of the chain (e.g., see chapter 2 in [1]). The main reason is that the evolution operator at the transfer time reduces to a permutation (up perhaps to an unimportant global phase).
 
Literatur
1.
Zurück zum Zitat Nikolopoulos, G.M., Jex, I. (eds.): Quantum State Transfer and Network Engineering. Quantum Science and Technology, Springer, Heidelberg (2014) Nikolopoulos, G.M., Jex, I. (eds.): Quantum State Transfer and Network Engineering. Quantum Science and Technology, Springer, Heidelberg (2014)
2.
Zurück zum Zitat Nikolopoulos, G.M., Petrosyan, D., Lambropoulos, P.: Electron wavepacket propagation in a chain of coupled quantum dots. J. Phys. Condens. Matter 16, 4991–5002 (2004)ADSCrossRef Nikolopoulos, G.M., Petrosyan, D., Lambropoulos, P.: Electron wavepacket propagation in a chain of coupled quantum dots. J. Phys. Condens. Matter 16, 4991–5002 (2004)ADSCrossRef
3.
Zurück zum Zitat Nikolopoulos, G.M., Petrosyan, D., Lambropoulos, P.: Coherent electron wavepacket propagation and entanglement in array of coupled quantum dots. Europhys. Lett. 65, 297–303 (2004)ADSCrossRef Nikolopoulos, G.M., Petrosyan, D., Lambropoulos, P.: Coherent electron wavepacket propagation and entanglement in array of coupled quantum dots. Europhys. Lett. 65, 297–303 (2004)ADSCrossRef
4.
Zurück zum Zitat Christandl, M., Datta, N., Ekert, A., Landahl, A.J.: Perfect state transfer in quantum spin networks. Phys. Rev. Lett. 92, 187902 (2004)ADSCrossRef Christandl, M., Datta, N., Ekert, A., Landahl, A.J.: Perfect state transfer in quantum spin networks. Phys. Rev. Lett. 92, 187902 (2004)ADSCrossRef
5.
Zurück zum Zitat Banchi, L., Apollaro, T.J.G., Cuccoli, A., Vaia, R., Verrucchi, P.: Optimal dynamics for quantum-state and entanglement transfer through homogeneous quantum systems. Phys. Rev. A 82, 052321 (2010)ADSCrossRef Banchi, L., Apollaro, T.J.G., Cuccoli, A., Vaia, R., Verrucchi, P.: Optimal dynamics for quantum-state and entanglement transfer through homogeneous quantum systems. Phys. Rev. A 82, 052321 (2010)ADSCrossRef
6.
Zurück zum Zitat Banchi, L., Apollaro, T.J.G., Cuccoli, A., Vaia, R., Verrucchi, P.: Long quantum channels for high-quality entanglement transfer. New J. Phys. 13, 123006 (2011)ADSCrossRef Banchi, L., Apollaro, T.J.G., Cuccoli, A., Vaia, R., Verrucchi, P.: Long quantum channels for high-quality entanglement transfer. New J. Phys. 13, 123006 (2011)ADSCrossRef
7.
Zurück zum Zitat Banchi, L., Bayat, A., Verrucchi, P., Bose, S.: Nonperturbative entangling gates between distant qubits using uniform cold atom chains. Phys. Rev. Lett. 106, 140501 (2011)ADSCrossRef Banchi, L., Bayat, A., Verrucchi, P., Bose, S.: Nonperturbative entangling gates between distant qubits using uniform cold atom chains. Phys. Rev. Lett. 106, 140501 (2011)ADSCrossRef
8.
Zurück zum Zitat Zwick, A., Álvarez, G.A., Stolze, J., Osenda, O.: Spin chains for robust state transfer: modified boundary couplings versus completely engineered chains. Phys. Rev. 85, 012318 (2012)ADSCrossRef Zwick, A., Álvarez, G.A., Stolze, J., Osenda, O.: Spin chains for robust state transfer: modified boundary couplings versus completely engineered chains. Phys. Rev. 85, 012318 (2012)ADSCrossRef
9.
Zurück zum Zitat Stolze, J., Álvarez, G.A., Osenda, O., Zwick, A.: Robustness of spin-chain state-transfer schemes. In: Nikolopopulos, G.M., Jex, I. (eds.) Quantum State Transfer and Quantum Network Engineering, pp. 149–182. Quantum Science and Technology, Springer, Heidelberg (2014)CrossRef Stolze, J., Álvarez, G.A., Osenda, O., Zwick, A.: Robustness of spin-chain state-transfer schemes. In: Nikolopopulos, G.M., Jex, I. (eds.) Quantum State Transfer and Quantum Network Engineering, pp. 149–182. Quantum Science and Technology, Springer, Heidelberg (2014)CrossRef
10.
Zurück zum Zitat Nikolopoulos, G.M.: Statistics of a quantum-state-transfer Hamiltonian in the presence of disorder. Phys. Rev. A 87, 042311 (2013)ADSCrossRef Nikolopoulos, G.M.: Statistics of a quantum-state-transfer Hamiltonian in the presence of disorder. Phys. Rev. A 87, 042311 (2013)ADSCrossRef
11.
12.
Zurück zum Zitat Sachdev, S.: Quantum Phase Transitions. Cambridge University Press, Cambridge (1999)MATH Sachdev, S.: Quantum Phase Transitions. Cambridge University Press, Cambridge (1999)MATH
13.
Zurück zum Zitat Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)MATH Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)MATH
14.
Zurück zum Zitat Petrosyan, D., Nikolopoulos, G.M., Lambropoulos, P.: State transfer in static and dynamic spin chains with disorder. Phys. Rev. A 81, 042307 (2010)ADSCrossRef Petrosyan, D., Nikolopoulos, G.M., Lambropoulos, P.: State transfer in static and dynamic spin chains with disorder. Phys. Rev. A 81, 042307 (2010)ADSCrossRef
15.
Zurück zum Zitat Bose, S.: Quantum communication through an unmodulated spin chain. Phys. Rev. Lett. 91, 207901 (2003)ADSCrossRef Bose, S.: Quantum communication through an unmodulated spin chain. Phys. Rev. Lett. 91, 207901 (2003)ADSCrossRef
16.
Zurück zum Zitat Bose, S.: Quantum communication through spin chain dynamics: an introductory overview. Contemp. Phys. 48, 13–30 (2007)ADSCrossRef Bose, S.: Quantum communication through spin chain dynamics: an introductory overview. Contemp. Phys. 48, 13–30 (2007)ADSCrossRef
17.
Zurück zum Zitat Romito, A., Fazio, R., Bruder, C.: Solid-state quantum communication with Josephson arrays. Phys. Rev. B 71, 100501(R) (2005)ADSCrossRef Romito, A., Fazio, R., Bruder, C.: Solid-state quantum communication with Josephson arrays. Phys. Rev. B 71, 100501(R) (2005)ADSCrossRef
18.
Zurück zum Zitat Yang, S., Bayat, A., Bose, S.: Spin-state transfer in laterally coupled quantum-dot chains with disorders. Phys. Rev. A 82, 022336 (2010)ADSCrossRef Yang, S., Bayat, A., Bose, S.: Spin-state transfer in laterally coupled quantum-dot chains with disorders. Phys. Rev. A 82, 022336 (2010)ADSCrossRef
19.
Zurück zum Zitat Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245–2248 (1998)ADSCrossRef Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245–2248 (1998)ADSCrossRef
20.
Zurück zum Zitat Bayat, A., Bose, S.: Information-transferring ability of the different phases of a finite XXZ spin chain. Phys. Rev. A 81, 012304 (2010)ADSCrossRef Bayat, A., Bose, S.: Information-transferring ability of the different phases of a finite XXZ spin chain. Phys. Rev. A 81, 012304 (2010)ADSCrossRef
21.
Zurück zum Zitat Horodecki, M., Horodecki, P., Horodecki, R.: General teleportation channel, singlet fraction, and quasidistillation. Phys. Rev. A 60, 1888–1898 (1999)ADSMathSciNetCrossRefMATH Horodecki, M., Horodecki, P., Horodecki, R.: General teleportation channel, singlet fraction, and quasidistillation. Phys. Rev. A 60, 1888–1898 (1999)ADSMathSciNetCrossRefMATH
22.
23.
Zurück zum Zitat De Chiara, G., Rossini, D., Montangero, S., Fazio, R.: From perfect to fractal transmission in spin chains. Phys. Rev A 72, 012323 (2005)ADSCrossRef De Chiara, G., Rossini, D., Montangero, S., Fazio, R.: From perfect to fractal transmission in spin chains. Phys. Rev A 72, 012323 (2005)ADSCrossRef
24.
Zurück zum Zitat Cappellaro, P.: Implementation of state transfer Hamiltonians in spin chains with magnetic resonance techniques. In: Nikolopopulos, G.M., Jex, I. (eds.) Quantum State Transfer and Quantum Network Engineering, pp. 183–222. Quantum Science and Technology, Springer, Heidelberg (2014)CrossRef Cappellaro, P.: Implementation of state transfer Hamiltonians in spin chains with magnetic resonance techniques. In: Nikolopopulos, G.M., Jex, I. (eds.) Quantum State Transfer and Quantum Network Engineering, pp. 183–222. Quantum Science and Technology, Springer, Heidelberg (2014)CrossRef
25.
Zurück zum Zitat Bellec, M., Nikolopoulos, G.M., Tzortzakis, S.: State transfer hamiltonians in photonic lattices. In: Nikolopopulos, G.M., Jex, I. (eds.) Quantum State Transfer and Quantum Network Engineering, pp. 223–245. Quantum Science and Technology, Springer, Heidelberg (2014)CrossRef Bellec, M., Nikolopoulos, G.M., Tzortzakis, S.: State transfer hamiltonians in photonic lattices. In: Nikolopopulos, G.M., Jex, I. (eds.) Quantum State Transfer and Quantum Network Engineering, pp. 223–245. Quantum Science and Technology, Springer, Heidelberg (2014)CrossRef
Metadaten
Titel
Evaluation of the performance of two state-transfer Hamiltonians in the presence of static disorder
verfasst von
A. K. Pavlis
G. M. Nikolopoulos
P. Lambropoulos
Publikationsdatum
01.06.2016
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 6/2016
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-016-1287-y

Weitere Artikel der Ausgabe 6/2016

Quantum Information Processing 6/2016 Zur Ausgabe

Neuer Inhalt