<p>Computation and information theory are fundamental across disciplines such as physics, computer science, chemistry, biology, and even philosophy. A central focus of research in computation is optimizing its cost, with energy being a key resource required to drive processes. The thermodynamic cost of computation has come into sharp focus, rooted in Landauer’s seminal work, which established that a computer consumes <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11128_2025_4918_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="62" /> </InlineMediaObject> <EquationSource Format="TEX">\(k_BT \, \ln 2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>k</mi> <mi>B</mi> </msub> <mi>T</mi> <mspace width="0.166667em" /> <mo>ln</mo> <mn>2</mn> </mrow> </math></EquationSource> </InlineEquation> units of energy to erase one bit of information, where <i>T</i> is the system’s temperature and <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11128_2025_4918_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">\(k_B\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>k</mi> <mi>B</mi> </msub> </math></EquationSource> </InlineEquation> is Boltzmann’s constant. In this tutorial, we will first cover the fundamental concepts of computation in detail. Following that, we will explore their connection and significance from a thermodynamic perspective.</p>

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Understanding the thermodynamics of computation: a pedagogical overview

  • Pritam Chattopadhyay,
  • Goutam Paul

摘要

Computation and information theory are fundamental across disciplines such as physics, computer science, chemistry, biology, and even philosophy. A central focus of research in computation is optimizing its cost, with energy being a key resource required to drive processes. The thermodynamic cost of computation has come into sharp focus, rooted in Landauer’s seminal work, which established that a computer consumes \(k_BT \, \ln 2\) k B T ln 2 units of energy to erase one bit of information, where T is the system’s temperature and \(k_B\) k B is Boltzmann’s constant. In this tutorial, we will first cover the fundamental concepts of computation in detail. Following that, we will explore their connection and significance from a thermodynamic perspective.