Skip to main content

2015 | OriginalPaper | Buchkapitel

8. Quantum Communications Systems with Thermal Noise

verfasst von : Gianfranco Cariolaro

Erschienen in: Quantum Communications

Verlag: Springer International Publishing

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

search-config
loading …

Abstract

The chapter deals with the analysis of Quantum Communications systems in the presence of thermal noise, sometimes called background noise, neglected in the previous chapter. This is achieved by passing from pure states to mixed states, described by density operators. Consequently, the analysis and especially the optimization become very difficult. For binary Quantum Communications systems the optimization is based again on Helstrom’s theory, whereas for multilevel systems the numerical optimization is used, and especially the square root measurement (SRM), which is suboptimal but gives a good approximation of the performance. The SRM technique is applied to the most popular Quantum Communications systems (QAM, PSK, and PPM) seen in the previous chapter in the absence of thermal noise. We will find that, also in the presence of thermal noise, Quantum Communications systems perform better than the classical counterparts.

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!

Anhänge
Nur mit Berechtigung zugänglich
Fußnoten
1
More specifically, letting \(\alpha =x+\mathrm{i}y\), the integration must be interpreted in the form
 
2
In Sect. 5.​7 the factor of a density operator was denoted by \(\gamma \), but here this symbol denotes the complex number determining the density operator \(\rho (\gamma )\). Thus, in this chapter the factor is denoted by \(\beta \).
 
Literatur
1.
Zurück zum Zitat G. Cariolaro, G. Pierobon, Performance of quantum data transmission systems in the presence of thermal noise. IEEE Trans. Commun. 58(2), 623–630 (2010)CrossRef G. Cariolaro, G. Pierobon, Performance of quantum data transmission systems in the presence of thermal noise. IEEE Trans. Commun. 58(2), 623–630 (2010)CrossRef
2.
Zurück zum Zitat G. Cariolaro, G. Pierobon, Theory of quantum pulse position modulation and related numerical problems. IEEE Trans. Commun. 58(4), 1213–1222 (2010)CrossRef G. Cariolaro, G. Pierobon, Theory of quantum pulse position modulation and related numerical problems. IEEE Trans. Commun. 58(4), 1213–1222 (2010)CrossRef
4.
Zurück zum Zitat C.W. Helstrom, J.W.S. Liu, J.P. Gordon, Quantum-mechanical communication theory. Proc. IEEE 58(10), 1578–1598 (1970)CrossRefMathSciNet C.W. Helstrom, J.W.S. Liu, J.P. Gordon, Quantum-mechanical communication theory. Proc. IEEE 58(10), 1578–1598 (1970)CrossRefMathSciNet
5.
Zurück zum Zitat C.W. Helstrom, Quantum Detection and Estimation Theory. Mathematics in Science and Engineering, vol. 123. Academic Press, New York (1976) C.W. Helstrom, Quantum Detection and Estimation Theory. Mathematics in Science and Engineering, vol. 123. Academic Press, New York (1976)
6.
Zurück zum Zitat V. Vilnrotter and C. W. Lau, Quantum detection of binary and ternary signals in the presence of thermal noise fields. NASA, Technical Report, February (2003). Interplanetary Network Progress (IPN) Progress Report 42–152 V. Vilnrotter and C. W. Lau, Quantum detection of binary and ternary signals in the presence of thermal noise fields. NASA, Technical Report, February (2003). Interplanetary Network Progress (IPN) Progress Report 42–152
7.
Zurück zum Zitat J. Shapiro, Quantum noise and excess noise in optical homodyne and heterodyne receivers. Quantum Electron. IEEE J. 21(3), 237–250 (1985)CrossRef J. Shapiro, Quantum noise and excess noise in optical homodyne and heterodyne receivers. Quantum Electron. IEEE J. 21(3), 237–250 (1985)CrossRef
8.
Zurück zum Zitat S. J. Dolinar, J. Hamkins, B. Moiston, and V. Vilnrotter, Optical modulation and coding, in H. Hemmati, ed. Deep Space Optical Communications, Wiley (2006) S. J. Dolinar, J. Hamkins, B. Moiston, and V. Vilnrotter, Optical modulation and coding, in H. Hemmati, ed. Deep Space Optical Communications, Wiley (2006)
9.
Zurück zum Zitat G. Cariolaro, R. Corvaja, G. Pierobon, Compression of pure and mixed states in quantum detection, in Global Telecommunications Conference (GLOBECOM, (2011) IEEE. December 2011, 1–5 (2011) G. Cariolaro, R. Corvaja, G. Pierobon, Compression of pure and mixed states in quantum detection, in Global Telecommunications Conference (GLOBECOM, (2011) IEEE. December 2011, 1–5 (2011)
10.
Zurück zum Zitat A. Assalini, G. Cariolaro, G. Pierobon, Efficient optimal minimum error discrimination of symmetric quantum states. Phys. Rev. A 81, 012315 (2010)CrossRef A. Assalini, G. Cariolaro, G. Pierobon, Efficient optimal minimum error discrimination of symmetric quantum states. Phys. Rev. A 81, 012315 (2010)CrossRef
Metadaten
Titel
Quantum Communications Systems with Thermal Noise
verfasst von
Gianfranco Cariolaro
Copyright-Jahr
2015
DOI
https://doi.org/10.1007/978-3-319-15600-2_8

Neuer Inhalt