Asymptotically good quantum codes

Alexei Ashikhmin, Simon Litsyn, and Michael A. Tsfasman
Phys. Rev. A 63, 032311 – Published 15 February 2001
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Abstract

Using algebraic geometry codes we give a polynomial construction of quantum codes with asymptotically nonzero rate and relative distance.

  • Received 18 July 2000

DOI:https://doi.org/10.1103/PhysRevA.63.032311

©2001 American Physical Society

Authors & Affiliations

Alexei Ashikhmin*

  • Bell Laboratories, Lucent Technologies, 600 Mountain Avenue, Murray Hill, New Jersey 07974

Simon Litsyn†

  • Department of Electrical Engineering-Systems, Tel Aviv University, Ramat Aviv 69978, Israel

Michael A. Tsfasman‡

  • Institute for Information Transmission Problems, Russian Academy of Sciences, 19 Bolshoi Karetny, 101447 Moscow GSP-4, Russia
  • Independent University of Moscow, Moscow, Russia

  • *Email address: aea@research.bell-labs.com
  • †Email address: litsyn@eng.tau.ac.il
  • ‡Email address: tsfasman@iitp.ru

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Vol. 63, Iss. 3 — March 2001

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