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Fermi Level Dynamics01:12

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Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

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Published on: November 11, 2013

Minimum energy surface required by quantum memory devices.

Wim van Dam1, Hieu D Nguyen

  • 1Department of Computer Science, University of California, Santa Barbara, California 93106-5110, USA. vandam@cs.ucsb.edu

Physical Review Letters
|July 9, 2013
PubMed
Summary
This summary is machine-generated.

Researchers explored the physical resources needed for classical information storage. A new study establishes a fundamental lower bound for the product of energy and squared radius, crucial for storing information.

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Area of Science:

  • Physics
  • Information Theory
  • Quantum Mechanics

Background:

  • Understanding the physical limits of information storage is a fundamental question in physics and information theory.
  • Previous research has explored thermodynamic bounds, such as the Bekenstein bound, but a comprehensive analysis in a nonrelativistic quantum mechanical setting was lacking.

Purpose of the Study:

  • To determine the minimum physical resources (energy and spatial extent) required to store classical information.
  • To establish a fundamental, nonrelativistic quantum mechanical lower bound for the product of energy and squared radius used in information storage.

Main Methods:

  • The study employs a nonrelativistic quantum mechanical framework.
  • It analyzes physical systems with mass 'm' and 'd' degrees of freedom storing 'S' bits of information.

Main Results:

  • There is no lower bound for energy or space individually required for information storage.
  • A nonzero lower bound is proven to exist for the product P = (energy times squared radius).
  • This lower bound is proportional to d²/m(exp(S/d) - 1)² for a system storing S bits.

Conclusions:

  • The findings provide a new fundamental physical limit on information storage.
  • This result is independent of prior thermodynamic bounds and applies to a broad range of physical systems.
  • It offers insights into the interplay between mass, degrees of freedom, energy, and spatial extent in information encoding.