minimising the heat dissipation of information erasure m. hamed mohammady, m. mohseni, y. omar...
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Minimising the heat dissipation of information erasure
M. Hamed Mohammady, M. Mohseni, Y. Omar
Physics of Information Group, Instituto de Telecomunicacoes
Quantum Physics and LogicOxford, 15th July 2015
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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
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LANDAUER’S PRINCIPLE
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Szilard’s engine
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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
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Landauer’s framework for information erasure
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THE OPTIMAL UNITARY OPERATOR FOR PROBABILISTIC INFORMATION ERASURE
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Majorisation theory tools
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Maximising the probability of information erasure
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Minimising the heat dissipation
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Minimising the heat dissipation for maximal probability ofinformation erasure
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Trade-off between probability of information erasure and heat dissipation
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Sequential swap algorithm
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AcknowledgementsM. 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).