In this article we survey a variety of aspects of theoretical models of computation with an emphasis on those modeling issues that are particularly important for the engineering of efficient nano-scale computers.Most traditional models of computing (such as those treated in Savage’s textbook [ ]) ignore a number of important fundamental physical effects that can dramatically impact computational performance at the nanoscale such as the basic thermodynamic limits on information processing [ ] and the possibility of utilizing quantum physical superpositions (essentially weighted combinations) of logic states [ ]. New alternative models of computing that allow reversible computing [ ] while respecting the laws of thermodynamics may (gradually over the next ~50 years) achieve a level of performance and cost-efficiency on all types of computational tasks that is literally thousands of times greater than the best that is physically possible using conventional irreversible models [ ].
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