Quantum limit cycles from phase coupling: A framework for NISQ thermodynamic devices
Abstract
Quantum decoherence does not permit the operation of (new) miniaturised devices or protocols that can otherwise run unassisted in classical settings, without explicit user agent intervention in the quantum realm. Classical driving signals are inadequate to model a truly quantum device built entirely in the quantum realm. Synchronisation endures miniaturisation without sacrificing quantum coherence, unlike thermalisation. We quantise the Kuramoto model and the Van der Pol oscillator and couple it with qubit(s) to show a robust limit cycle even in typical quantum thermodynamical settings. Novel effects such as Entanglement State Revivals, Zeno locking and thermal current interference are observed. We propose toy model devices that can be implemented harnessing the Synchronisation of a qubit (or an arbitrary collection of qubits) with a nonlinear phase oscillator. The framework theory used here, Spectral Mechanics, is a fresh look at the foundations of conventional quantum mechanics and is extensible to completely new forms of interactions and models in experimental settings.
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BibTeX
@misc{siddhartha2026quantum,
title = {{Quantum limit cycles from phase coupling: A framework for NISQ thermodynamic devices}},
author = {Nana Siddhartha},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.15905},
eprint = {2610.15905},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.15905},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum limit cycles from phase coupling: A framework for NISQ thermodynamic devices
AU - Nana Siddhartha
PY - 2026
DA - 2026/10/11
PB - arXiv
DO - 10.48550/arxiv.2610.15905
UR - https://arxiv.org/abs/2610.15905
AB - Quantum decoherence does not permit the operation of (new) miniaturised devices or protocols that can otherwise run unassisted in classical settings, without explicit user agent intervention in the quantum realm. Classical driving signals are inadequate to model a truly quantum device built entirely in the quantum realm. Synchronisation endures miniaturisation without sacrificing quantum coherence, unlike thermalisation. We quantise the Kuramoto model and the Van der Pol oscillator and couple it with qubit(s) to show a robust limit cycle even in typical quantum thermodynamical settings. Novel effects such as Entanglement State Revivals, Zeno locking and thermal current interference are observed. We propose toy model devices that can be implemented harnessing the Synchronisation of a qubit (or an arbitrary collection of qubits) with a nonlinear phase oscillator. The framework theory used here, Spectral Mechanics, is a fresh look at the foundations of conventional quantum mechanics and is extensible to completely new forms of interactions and models in experimental settings.
ER -