Information Erasure and Heat Dissipation in Quantum Physics

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Delve into the complex realm of quantum physics with a focus on minimising heat dissipation during information erasure. Explore concepts such as Landauer's principle, optimal unitary operators, and the trade-off between erasure probability and heat dissipation. Discover how majorisation theory tools and maximising erasure probability play crucial roles in this intricate field.

  • Quantum Physics
  • Information Erasure
  • Heat Dissipation
  • Landauers Principle
  • Majorisation Theory

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  1. Minimising the heat dissipation of information erasure M. Hamed Mohammady, M. Mohseni, Y. Omar Physics of Information Group, Instituto de Telecomunicacoes Quantum Physics and Logic Oxford, 15thJuly 2015

  2. Overview Landauer s principle for information erasure The optimal unitary operator for minimal heat dissipation given maximal probability of information erasure Trade-off between probability of information erasure and heat dissipation

  3. LANDAUERS PRINCIPLE

  4. Szilards engine

  5. Information erasure as pure state preparation Classical Physics Quantum Physics Information erasure Many-to-one mapping on configuration space Many-to-one mapping on Hilbert space Landauer s limit NJP vol. 16, no. 10, p. 103011, 2014

  6. Landauers framework for information erasure

  7. THE OPTIMAL UNITARY OPERATOR FOR PROBABILISTIC INFORMATION ERASURE

  8. Majorisation theory tools

  9. Maximising the probability of information erasure

  10. Minimising the heat dissipation

  11. Minimising the heat dissipation for maximal probability ofinformation erasure

  12. Trade-off between probability of information erasure and heat dissipation

  13. Sequential swap algorithm

  14. Acknowledgements M. H. M, and Y. O. thank the support from Fundacao para a Ciencia e a Tecnologia (Portugal), namely through programmes PTDC/POPH and projects PEst-OE/EGE/UI0491/2013, PEst-OE/EEI/LA0008/2013, UID/EEA/50008/2013, IT/QuSim and CRUP-CPU/CQVibes, partially funded by EU FEDER, and from the EU FP7 projects LANDAUER (GA 318287) and PAPETS (GA 323901). Furthermore MHM acknowledges the support from the EU FP7 Marie Curie Fellowship (GA 628912).

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