On Energy Expenditure per Unit of the Amount of Information

Abstract

It is shown that for an equilibrium state of time-symmetric system of non-relativistic strings the energy per unit of information transfer (storage, processing) obeys the Bekenstein conjecture. The result is based on a theorem due to A.Kholevo relating the physical entropy and the amount of information. Interestingly, the energy in question is the difference between the ensemble average of the energy and the Helmholtz free energy.

6 pages