Results · The price of perfection

The heat price of precision

In plain wordsPlaying a quantum game more precisely can cost heat: if the devices reset separately before communicating again, some fixed finite games need work growing like a multiple of log(1/ε) at error ε, but reuniting the quantum systems before the reset keeps the work bounded.

The result

As the paper states it, in briefFor games whose usable-entanglement demand diverges, resetting locally before communicating forces divergent work, while bringing the systems back together before reset keeps the operating work bounded.

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Novelty and credit

Novelty
Extends named prior work in quantum thermodynamics (Oppenheim and Horodecki; del Rio et al.; Devetak; others), credited. Laboratory implementations are labelled sketch and conjecture in the paper.

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1.0.010.5281/zenodo.23701732 PDF hosted here.

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papers/heat-price-v1.0.0.pdf, version 1.0.0, 571,502 bytes, 21 pages.

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Cite

@misc{douglas2026heatprice,
  author  = {Douglas, Seth and Mghirbi, Nidhal},
  title   = {The heat price of precision},
  year    = {2026},
  version = {1.0.0},
  doi     = {10.5281/zenodo.23701732},
  url     = {https://doi.org/10.5281/zenodo.23701732}
}

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