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 ΔE, the standard deviation of the energy of the system; here we give a strict bound that depends only on E − E0, 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 × 1033 operations per second.

• Publication year

  1997

• Venue

  Physica D: Nonlinear Phenomena

• Publication date

  1997-10-17

• Fields of study

  Mathematics, Physics

• Identifiers
  DOI 10.1016/S0167-2789(98)00054-2arXiv quant-ph/9710043
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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