The Secret Life of Time
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It does, for at least two reasons: 1) Computation physically produces heat and increases entropy. 2) Many operations lose information -- for example XOR's can't be run backwards to reproduce the original inputs.
People have tried to tackle both issues with reversible computing. https://en.wikipedia.org/wiki/Reversible_computing
Someone even wrote a programming language that was (logically) time-reversible:
https://en.wikipedia.org/wiki/Janus_(time-reversible_computi...
This would be useful outside of research. Though, I expect the memory usage will be ridiculous.
[1] https://en.wikipedia.org/wiki/Retroactive_data_structures
With power demands for exabyte data centers and exaflop computers well into megawatts, there is interest in low energy computing.
One scheme Ive heard pairs a forward circuirt with an inverse circuit to reduce energy, despite it appears to double the computation.
John Archibald Wheeler took this idea even further with the PAP, the Participatory Anthropic Principle.
http://blog.rongarret.info/2014/10/parallel-universes-and-ar...
[UPDATE] I would really appreciate if those of you who are downvoting this comment would tell me why.
It might be a stretch, but this seems like a small glimpse of the concept of a time differential ('dt'), a thousand years before the math existed to describe it explicitly.