Battery-Explicit Thermodynamic Witnesses of Bell Post-Quantumness
Abstract
We introduce a battery-explicit thermodynamic witness of post-quantum Bell correlations. In each round, a single supplied excitation is routed into an explicit two-level battery if and only if a Bell-game condition is satisfied. The routing operation is implemented by an energy-preserving controlled SWAP, with all logical control registers taken to be degenerate. Thus the correlation resource does not create energy; it only determines the probability that the supplied excitation reaches the battery. The construction is first formulated for finite two-player XOR games. For any such game, the mean battery charge is exactly the game success probability multiplied by the battery gap. Optimizing over local, quantum, or nonsignalling behaviours therefore turns the corresponding game values into local, quantum, or nonsignalling battery-charge ceilings. For the CHSH game, Tsirelson's bound becomes a strict quantum ceiling on the mean battery charge, while a PR-box behaviour reaches the single-excitation cap. The witness is trusted-module rather than device-independent: it assumes calibrated Hamiltonians, correct classical wiring, and a trusted energy-preserving battery module. We also discuss a reversible-controller implementation, finite-statistics certification from work data, robustness to imperfect battery readout, and cyclic bookkeeping showing that no positive net work is obtained once fuel restoration and memory erasure are included.
Versions
Related
- Thermodynamic Proof of Quantumness without Structure
- Fluctuation-free Quantum Battery Charging Enabled by Bell-like Entangled and Separable Charger States
- How Quantum Is Light? Concepts, Measures, and Applications of Optical Quantumness
- Quantumness of Entanglement in Schwarzschild de Sitter Spacetime
- Probing quantumness of superpositions of Gaussian states via Tsirelson probability
BibTeX
@misc{cwiklinski2026batteryexplicit,
title = {{Battery-Explicit Thermodynamic Witnesses of Bell Post-Quantumness}},
author = {Piotr Ćwikliński},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2605.09149},
eprint = {2605.09149},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.09149},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Battery-Explicit Thermodynamic Witnesses of Bell Post-Quantumness
AU - Piotr Ćwikliński
PY - 2026
DA - 2026/08/29
PB - arXiv
DO - 10.48550/arxiv.2605.09149
UR - https://arxiv.org/abs/2605.09149
AB - We introduce a battery-explicit thermodynamic witness of post-quantum Bell correlations. In each round, a single supplied excitation is routed into an explicit two-level battery if and only if a Bell-game condition is satisfied. The routing operation is implemented by an energy-preserving controlled SWAP, with all logical control registers taken to be degenerate. Thus the correlation resource does not create energy; it only determines the probability that the supplied excitation reaches the battery. The construction is first formulated for finite two-player XOR games. For any such game, the mean battery charge is exactly the game success probability multiplied by the battery gap. Optimizing over local, quantum, or nonsignalling behaviours therefore turns the corresponding game values into local, quantum, or nonsignalling battery-charge ceilings. For the CHSH game, Tsirelson's bound becomes a strict quantum ceiling on the mean battery charge, while a PR-box behaviour reaches the single-excitation cap. The witness is trusted-module rather than device-independent: it assumes calibrated Hamiltonians, correct classical wiring, and a trusted energy-preserving battery module. We also discuss a reversible-controller implementation, finite-statistics certification from work data, robustness to imperfect battery readout, and cyclic bookkeeping showing that no positive net work is obtained once fuel restoration and memory erasure are included.
ER -