Conditions for the Approximate Correction of Algebras

  • Cédric Bény
Conference paper

DOI: 10.1007/978-3-642-10698-9_7

Part of the Lecture Notes in Computer Science book series (LNCS, volume 5906)
Cite this paper as:
Bény C. (2009) Conditions for the Approximate Correction of Algebras. In: Childs A., Mosca M. (eds) Theory of Quantum Computation, Communication, and Cryptography. TQC 2009. Lecture Notes in Computer Science, vol 5906. Springer, Berlin, Heidelberg

Abstract

We study the approximate correctability of general algebras of observables, which represent hybrid quantum-classical information. This includes approximate quantum error correcting codes and subsystems codes. We show that the main result of [1] yields a natural generalization of the Knill-Laflamme conditions in the form of a dimension independent estimate of the optimal reconstruction error for a given encoding, measured using the trace-norm distance to a noiseless channel.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Cédric Bény
    • 1
  1. 1.Centre for Quantum TechnologiesNational University of Singapore 

Personalised recommendations