Quantum Error Correction

Abstract

We consider quantum error-correcting codes over alphabets of arbitrary size. We generalize quantum stabilizer codes and develop Calderbank-Shor-Steane construction over quantum systems of arbitrary dimensions using the group structure of alphabets. We also develop a methodology systematically conjoining error-correcting codes into a new class of error-correcting codes. With the help of these methods we give several ways to construct quantum maximum distance separable (MDS) codes and present many families of quantum MDS codes.

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Document Details

Document Type
Technical Report
Publication Date
Jul 06, 2005
Accession Number
ADA451742

Entities

People

  • Dong P. Chi
  • Jinsoo Kim

Organizations

  • Seoul National University

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Alphabets
  • Coding
  • Computations
  • Computer Science
  • Construction
  • Contractors
  • Contracts
  • Electrical Engineering
  • Information Processing
  • Information Science
  • Notation
  • Quantum Algorithms
  • Quantum Computers
  • Quantum Computing
  • Quantum Information
  • Quantum Information Science
  • Small Business

Readers

  • Artificial Intelligence
  • Computer Programming and Software Development.
  • Quantum Chemistry

Technology Areas

  • Quantum Computing