A thermodynamically consistent model of finite-state machines
Author(s) -
Dominique Chu,
Richard E. Spinney
Publication year - 2018
Publication title -
interface focus
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.1
H-Index - 49
eISSN - 2042-8901
pISSN - 2042-8898
DOI - 10.1098/rsfs.2018.0037
Subject(s) - computation , finite state machine , computer science , finite state , markov chain , entropy (arrow of time) , algorithm , theoretical computer science , sequence (biology) , state (computer science) , hidden markov model , artificial intelligence , machine learning , physics , quantum mechanics , biology , genetics
Finite-state machines (FSMs) are a theoretically and practically important model of computation. We propose a general, thermodynamically consistent model of FSMs and characterize the resource requirements of these machines. We model FSMs as time-inhomogeneous Markov chains. The computation is driven by instantaneous manipulations of the energy levels of the states. We calculate the entropy production of the machine, its error probability, and the time required to complete one update step. We find that a sequence of generalized bit-setting operations is sufficient to implement any FSM.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom