PreprintarXiv licencearXiv
Finite-resource cooling of qudits beyond thermodynamic length
Abstract
Cooling a quantum system with N thermal machines costs more than Landauer's bound. For swap-based collision models the excess is set by thermodynamic length, which is optimal for qubits and was suggested by numerics to be optimal in general. We show that for qudits, permutations of energy eigenstates that use several resonant transitions at once do better for every spectrum, reducing the excess by up to 83% near the ground state. To second order, coherent collisions do no better, and at infinite temperature dM-level machines reduce the excess by at most a factor dM−1.
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BibTeX
@misc{mishra2026finiteresource,
title = {{Finite-resource cooling of qudits beyond thermodynamic length}},
author = {Ansh Mishra and Aryan Senthilkumar},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.40709},
eprint = {2610.40709},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.40709},
}
RIS
TY - UNPB
TI - Finite-resource cooling of qudits beyond thermodynamic length
AU - Ansh Mishra
AU - Aryan Senthilkumar
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2610.40709
UR - https://arxiv.org/abs/2610.40709
AB - Cooling a quantum system with N thermal machines costs more than Landauer's bound. For swap-based collision models the excess is set by thermodynamic length, which is optimal for qubits and was suggested by numerics to be optimal in general. We show that for qudits, permutations of energy eigenstates that use several resonant transitions at once do better for every spectrum, reducing the excess by up to 83% near the ground state. To second order, coherent collisions do no better, and at infinite temperature d_M-level machines reduce the excess by at most a factor d_M−1.
ER -