A Free Object in Quantum Information Theory

Abstract

We consider three examples of affine monoids. The first stems from information theory and provides a natural model of image distortion, as well as a higher-dimensional analogue of a binary symmetric channel. The second, from physics, describes the process of teleporting quantum information with a given entangled state. The third is purely a mathematical construction, the free affine monoid over the Klein four group. We prove that all three of these objects are isomorphic.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2010
Accession Number
ADA528856

Entities

People

  • Johnny Feng
  • Keye Martin
  • Sanjeevi Krishnan

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algebra
  • Analogs
  • Complex Numbers
  • Computer Science
  • Computers
  • Distortion
  • Information Theory
  • Mathematics
  • Numbers
  • Probability
  • Quantum Cryptography
  • Quantum Information
  • Quantum Information Science
  • Quantum Mechanics
  • Theorems
  • Theoretical Computer Science
  • Vector Spaces

Readers

  • Computer Vision.
  • Mathematical Modeling and Probability Theory.
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.

Technology Areas

  • Quantum Computing
  • Quantum Science - Quantum Key Distribution