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Classical broadcasting is possible with arbitrarily high fidelity and resolution.

Thomas A Walker1, Samuel L Braunstein

  • 1Computer Science, University of York, York YO10 5DD, United Kingdom.

Physical Review Letters
|March 16, 2007
PubMed
Summary
This summary is machine-generated.

We introduce a resolution measure for probability distributions to study classical broadcasting. Our findings show that universal broadcasting is achievable with high fidelity for any finite resolution, aligning quantum and classical broadcasting limits.

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Area of Science:

  • Information theory
  • Quantum mechanics
  • Probability theory

Background:

  • Classical broadcasting aims to replicate an input probability distribution across multiple outputs.
  • Understanding the limits of information transmission is crucial in classical and quantum systems.
  • Quantifying the distinguishability of probability distributions is key to analyzing information processing.

Purpose of the Study:

  • To define and quantify the resolution of probability distributions.
  • To investigate the feasibility of universal broadcasting for classical probability distributions.
  • To compare the classical limit of quantum broadcasting with classical broadcasting.

Main Methods:

  • Defining a characteristic width as the resolution for probability distributions.
  • Analyzing the fidelity of broadcasting for normalizable probability distributions.
  • Comparing broadcasting capabilities under finite resolution constraints.

Main Results:

  • A well-defined resolution measure is established for any normalizable probability distribution.
  • Universal broadcasting of probability distributions is shown to be achievable with arbitrarily high fidelity for any finite resolution.
  • The classical limit of quantum broadcasting is demonstrated to be consistent with classical broadcasting.

Conclusions:

  • The concept of resolution provides a framework for understanding information distinguishability.
  • Finite resolution allows for high-fidelity universal broadcasting in classical systems.
  • Quantum broadcasting's classical limit aligns with classical information theory principles.