The maximum speed of dynamical evolution
Abstract
We discuss the problem of counting the maximum number of distinct states that an isolated physical system can pass through in a given period of time  its maximum speed of dynamical evolution. Previous analyses have given bounds in terms of ∆E, the standard deviation of the energy of the system; here we give a strict bound that depends only on E  E_{0}, the system's average energy minus its ground state energy. We also discuss bounds on information processing rates implied by our bound on the speed of dynamical evolution. For example, adding 1 J of energy to a given computer can never increase its processing rate by more than about 3 × 10 ^{33} operations per second.
 Publication:

Physica D Nonlinear Phenomena
 Pub Date:
 September 1998
 DOI:
 10.1016/S01672789(98)000542
 arXiv:
 arXiv:quantph/9710043
 Bibcode:
 1998PhyD..120..188M
 Keywords:

 Quantum Physics
 EPrint:
 14 pages, no figures, LaTex2e (elsart). This is the published version, which includes brief semiclassical and relativistic discussions not included in the original preprint