The thermodynamics of acting in time
The work cost of computing on a schedule: when inputs arrive, when outputs leave for good, what must be handed back.
Six works in seventeen archived versions · latest release
The question
Answered What does it cost, in work, to act on a schedule?
One law, for every schedule.
The papersin reading order, with what each settled
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The thermodynamics of deadlines: one law for the work cost of acting in time
Seth Douglas and Nidhal Mghirbi · version 1.0.0 · · 187 pages
For every finite schedule in which each carrier returns with its Hamiltonian and the controller comes back, the optimal work per use is the least entropy one implementation must add to its own record, plus the energy it hands over, against the most demanding observer. The cost survives arbitrarily slow operation.
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The price of time order
Seth Douglas and Nidhal Mghirbi · version 1.0.2 ·
The keystone of four companion papers: one law prices every schedule of arrivals, releases and returns.
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Only quantum channels save work by waiting
Seth Douglas and Nidhal Mghirbi · version 1.0.2 ·
Releasing each output of a repeated channel before the next input arrives costs nothing extra for classical channels, and can cost extra for quantum ones.
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The work cost of answering in real time
Seth Douglas and Nidhal Mghirbi · version 1.0.2 ·
The work law for devices that must answer each request before the next arrives while remembering what came before.
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The price of keeping time
Seth Douglas and Nidhal Mghirbi · version 1.1.1 · · 48 pages
What a clock costs a device that runs an operation which does not respect time translation.
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Order, not speed: the work price of letting go
Seth Douglas and Nidhal Mghirbi · letter · version 1.1.0 ·
A short letter summarizing the four papers: a device that must let an output go before a later input arrives pays for every correlation its record keeps with that output, however slowly it runs.
Posed by othersproblems printed by others that this line takes up
- Answered Which unital channels are repeatable by one device with a finite memory and no resets?
- Partly answered Do thermal operations reach the thermodynamic capacity of a channel that is not time-covariant?
- Partly answered Can thermal operations with a time reference achieve what Gibbs-preserving maps achieve?