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Quanten-Fehlerkorrektur by Neubach, Manuel

Quanten-Fehlerkorrektur

by Manuel Neubach
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Book cover type: Paperback
  • ISBN13: 9783638766418
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Grin Verlag
  • Publisher Imprint: Grin Verlag
  • Publication Date:
  • Pages: 24
  • Original Price: USD 25.5
  • Language: German
  • Edition: N/A
  • Item Weight: 46 grams
  • BISAC Subject(s): Business & Productivity Software / General

Studienarbeit aus dem Jahr 2002 im Fachbereich Informatik - Angewandte Informatik, Technische Universit�t Dortmund, Sprache: Deutsch, Abstract: Es hat sich in den letzten Jahren gezeigt, dass man unter Ausnutzung quantenmechanischer Eigenschaften bestimmte Rechnungen auf Quanten-Computern im Vergleich zu klassischen Systemen deutlich beschleunigen kann. Obwohl die These, dass Quanten-Computer von klassischen Computern nicht in Polynomialzeit simuliert werden k�nnen, bisher unbewiesen ist, so deuten doch viele Erkenntnisse hierauf hin. Was aber bei den bisher vorgestellten Quanten-Algorithmen immer stillschweigend vorausgesetzt wurde ist, dass in der Rechnung alle Operationen fehlerfrei ausgef�hrt werden bzw. die Fehlerwahrscheinlichkeit so gering ist, dass man sie vernachl�ssigen kann. Dies trifft vielleicht bei klassischen Systemen zu, die durch Verst�rkung und Dissipation eine bemerkenswert hohe Stabilit�t erreichen, bei quantenmechanischen Systemen hingegen verh�lt es sich aber komplett anders. Quanten-Rechner sind extrem anf�llig gegen Rauschen und unpr�zise Operationen. Zudem sind klassische Methoden zur Stabilisierung wie Dissipation und Verst�rkung auf Quantenebene nicht anwendbar. Zusammengefasst hei t das, Fehler sind unvermeidbar und treten schon nach relativ kurzer Rechenzeit auf. Die Hauptursache f�r Quantenfehler sind Wechselwirkungen mit der Umgebung. Da Quanten-Computer nicht vollst�ndig von der Umgebung isoliert werden k�nnen, ist das sogenannte Ph�nomen der Dekoh�renz unvermeidbar. Lange Rechnungen sind also ohne weiteres nicht durchf�hrbar auf Quanten-Computern, da fr�her oder sp�ter die Dekoh�renz die im Quantenspeicher codierte Information zerst�rt. Der Ausweg hei t hier Quanten-Fehlerkorrektur. Fehlerkorrekturalgorithmen sind bereits bekannt aus klassischen Computersystemen und werden hier zum Beispiel benutzt um Informationen sicher �ber einen stark rauschbehafteten Kanal (noisy channel) zu transportieren. Solche Algorithmen k�nnen angepasst we

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