Developing a thermodynamic theory of computation is a challenging task at the interface of
nonequilibrium thermodynamics and computer science. In particular, this task requires dealing with
difficulties such as stochastic halting times, unidirectional (possibly deterministic) transitions, and
restricted initial conditions, features common in real-world computers. Here, we present a framework
which tackles all such difficulties by extending the martingale theory of nonequilibrium thermodynamics to
generic nonstationary Markovian processes, including those with broken detailed balance and/or absolute
irreversibility. We derive several universal fluctuation relations and second-law-like inequalities that
provide both lower and upper bounds on the intrinsic dissipation associated with any periodic process
—in particular, the periodic processes underlying all current digital computation.
Presential in the seminar room. Zoom stream:
https://us06web.zoom.us/j/98286706234?pwd=bm1JUFVYcTJkaVl1VU55L0FiWDRIUT09
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