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Setting Limits on Supersymmetry Using Simplified Models
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Universal Limit on Communication.

Raphael Bousso1

  • 1Center for Theoretical Physics and Department of Physics, University of California, Berkeley, California 94720, USA and Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA.

Physical Review Letters
|October 21, 2017
PubMed
Summary
This summary is machine-generated.

A universal upper bound for communication channel capacity is derived, limited by signal energy (E) and detector time (Δt). This bound, related to the Holevo quantity, applies regardless of system size or signal type, even considering quantum effects.

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Area of Science:

  • Information theory
  • Quantum information science
  • Physics

Background:

  • Understanding the fundamental limits of information transfer is crucial for technological advancement.
  • Existing bounds on communication channel capacity often rely on specific assumptions about the channel or signal.
  • The role of quantum mechanics in setting these ultimate limits is an area of active research.

Purpose of the Study:

  • To derive a universal upper bound on the capacity of any communication channel.
  • To establish a relationship between channel capacity and fundamental physical quantities like energy and time.
  • To explore the implications of this bound for systems with large message spaces and potential quantum effects.

Main Methods:

  • Derivation of a universal upper bound using information-theoretic principles.
  • Analysis of the Holevo quantity as a measure of mutual information.
  • Application of the bound to specific examples, such as encoding information in signal position.

Main Results:

  • A universal upper bound on channel capacity is established as being of the order EΔt/ℏ.
  • The bound is independent of the physical characteristics of the communicating systems (size, mass) and the signal's nature.
  • The derived bound remains valid even when quantum effects become significant, such as in large message spaces.

Conclusions:

  • The derived bound provides a fundamental limit on information transfer applicable to all communication channels.
  • Energy and time are identified as key physical parameters governing the ultimate capacity of communication.
  • The study highlights the importance of quantum mechanics in understanding information limits, even for systems that may appear classical.