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arxiv: 2604.05325 · v1 · submitted 2026-04-07 · 🪐 quant-ph

Noise is not always detrimental: the capacity of quantum batteries is enhanced in black holes

Xukun Wang , Xiaofen Huang , Zhihao Ma , Shao-Ming Fei , Tinggui Zhang This is my paper

Pith reviewed 2026-05-10 20:04 UTC · model grok-4.3

classification 🪐 quant-ph
keywords quantum batteryHawking radiationblack holesquantum capacitynoise channelsbipartite mixed statesnoninertial framesenergy storage
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The pith

Hawking radiation from black holes can enhance the capacity of quantum batteries in a bipartite mixed-state model.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

This paper studies how Hawking radiation and environmental noise affect the capacity of quantum batteries modeled as bipartite mixed states. The central finding is that Hawking radiation alone boosts battery capacity, which counters the usual negative impact of noise on energy storage and release. When both radiation and noise act together, capacity generally falls depending on the noise type, though charging and discharging patterns stay similar to the noiseless case except under strong bit-flip noise, where the pattern reverses. Maximum depolarizing noise drives capacity to zero. The mechanism is that bit-flip noise changes energy-level populations, alters average energy, and creates conditions for bidirectional energy exchange, unlike phase-flip noise.

Core claim

Hawking radiation can enhance the capacity of quantum batteries in a bipartite mixed state setup, exerting a positive influence on energy storage in contrast to the usual detrimental effects of entanglement and coherence. When combined with environmental noise, capacity degrades depending on noise type, with charging-discharging patterns mostly preserved except for reversals under strong bit flip noise, and capacity tending to zero under maximum depolarizing noise. The mechanism is that bit flip disrupts population distribution, alters average energy, and sets up perturbative bidirectional energy exchange, differing from phase flip.

What carries the argument

Quantum battery capacity for bipartite mixed states under Hawking radiation (parameterized by temperature) combined with standard noise channels (bit flip, phase flip, depolarizing).

If this is right

  • Hawking radiation alone positively modulates quantum battery capacity in curved spacetime.
  • Adding environmental noise alongside radiation causes degradation whose amount depends on the specific noise channel.
  • Strong bit-flip noise reverses the usual charging-discharging pattern.
  • Maximum-strength depolarizing noise reduces battery capacity to zero.
  • Charging and discharging behaviors remain close to the noiseless case except in the strong bit-flip regime.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Engineered analog systems that mimic Hawking radiation might be used to improve quantum battery performance.
  • The noise-type dependence suggests that controlled noise could be harnessed rather than always suppressed in relativistic quantum devices.
  • Extensions to multipartite states or other spacetime backgrounds could produce additional counterintuitive capacity effects.
  • The distinction between bit-flip and phase-flip mechanisms points to population redistribution as a tunable handle for energy exchange.

Load-bearing premise

The bipartite mixed-state model with standard noise channels and Hawking temperature fully captures the battery dynamics without extra effects from curved spacetime geometry or back-reaction.

What would settle it

A direct calculation or simulation in which battery capacity fails to increase under Hawking radiation relative to a flat-space control case with no radiation would falsify the enhancement result.

Figures

Figures reproduced from arXiv: 2604.05325 by Shao-Ming Fei, Tinggui Zhang, Xiaofen Huang, Xukun Wang, Zhihao Ma.

Figure 1
Figure 1. Figure 1: FIG. 1: The eigenvalues of the reduced states as functions of the state parameter [PITH_FULL_IMAGE:figures/full_fig_p004_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2: The quantum battery capacity of the states [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3: After the quantum battery system crosses the [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4: Under the phase flip channel we set the accelerations of Alice and Bob as [PITH_FULL_IMAGE:figures/full_fig_p006_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5: Under the bit flip channel we define the quantum battery capacity of the states [PITH_FULL_IMAGE:figures/full_fig_p007_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6: We define the quantum battery capacity of the states [PITH_FULL_IMAGE:figures/full_fig_p009_6.png] view at source ↗
read the original abstract

Quantum battery capacity, as a critical metric for quantifying energy storage and release in quantum systems, exhibits complex behaviors in curved spacetime and noisy environments. This study focuses on bipartite mixed state, aiming to explore the modulation of quantum battery capacity by Hawking radiation and environmental noise. We find a counterintuitive phenomenon that Hawking radiation can enhance battery capacity, exerting a positive influence on energy storage, a result that stands in stark contrast to the detrimental effects typically associated with entanglement and coherence. When a quantum battery is simultaneously subjected to environmental noise and Hawking radiation, its capacity generally degrades, with the extent of degradation depending on the type of noise. The charging and discharging behaviors largely follow the same patterns observed in the noiseless scenario; however, under a bit flip channel with strong noise intensity, the charging-discharging pattern reverses. In the extreme case of maximum noise intensity, the capacity of the quantum battery under depolarizing noise tends to zero. The underlying physical mechanism lies in the fact that the bit flip channel disrupts the original population distribution of energy levels, thereby altering the average energy of the system and establishing a perturbative environment for bidirectional energy exchange. This differs fundamentally from the phase flip channel. These findings offer a new perspective for the theory of quantum batteries in noninertial reference frames.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript studies the capacity of a quantum battery in a bipartite mixed-state model subject to Hawking radiation (modeled via a temperature parameter) and standard environmental noise channels (bit-flip, phase-flip, depolarizing). It reports that Hawking radiation alone can enhance capacity, contrary to typical noise effects on entanglement and coherence; when combined with noise the capacity generally degrades in a channel-dependent way, with bit-flip noise reversing charging-discharging patterns at high intensity and depolarizing noise driving capacity to zero at maximum strength. The physical mechanism is attributed to population redistribution and perturbative energy exchange.

Significance. If the modeling assumptions prove robust, the work supplies a concrete example of a gravitational effect (Hawking radiation) that can improve rather than degrade a quantum thermodynamic resource, extending flat-space quantum-battery literature into curved spacetime. The noise-type dependence and the reported reversal under bit-flip noise are falsifiable predictions that could stimulate further study. Credit is due for exploring an under-studied regime, though the absence of machine-checked derivations or reproducible code limits immediate verifiability.

major comments (2)
  1. [Model section] Model section (Hawking radiation implementation): Hawking radiation is introduced as a simple thermal channel acting on a flat-space bipartite density matrix. This omits the Tolman redshift factor (1-2M/r)^{-1/2} for local energy observables and the Hartle-Hawking vacuum structure; both are load-bearing for the enhancement claim, since their inclusion can reverse the sign of the capacity change near the horizon.
  2. [Results on capacity] Capacity definition and results: The abstract and subsequent claims state an enhancement without supplying the explicit expression for ergotropy or extractable work (presumably involving the Hamiltonian and the modified density matrix). It is therefore impossible to verify whether the reported increase is independent of parameter choices or follows tautologically from the channel definition.
minor comments (2)
  1. [Abstract] Abstract: the sentence 'the charging and discharging behaviors largely follow the same patterns observed in the noiseless scenario' is imprecise; quantify the similarity (e.g., via overlap of time-dependent energy curves or a stated metric).
  2. [Abstract] Abstract: several technical terms (ergotropy, capacity, bipartite mixed state) are used without a brief inline definition or pointer to the relevant equation, hindering readability for a broad audience.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments on our manuscript. We address each major comment point by point below and have revised the manuscript to provide additional clarifications and explicit details where needed.

read point-by-point responses

  1. Referee: [Model section] Model section (Hawking radiation implementation): Hawking radiation is introduced as a simple thermal channel acting on a flat-space bipartite density matrix. This omits the Tolman redshift factor (1-2M/r)^{-1/2} for local energy observables and the Hartle-Hawking vacuum structure; both are load-bearing for the enhancement claim, since their inclusion can reverse the sign of the capacity change near the horizon.

    Authors: We appreciate the referee highlighting the modeling approximations. Our implementation treats Hawking radiation via a thermal channel with a temperature parameter applied to the flat-space bipartite state, which is a standard simplification used in the literature to isolate thermal effects on quantum resources without a full curved-spacetime field-theoretic treatment. We agree that the Tolman redshift and Hartle-Hawking vacuum structure are relevant for local observers near the horizon and could quantitatively modify results. In the revised manuscript we have expanded the Model section to explicitly state these assumptions, discuss their regime of validity, and note that the reported qualitative enhancement is obtained within the adopted approximation; we also reference related works that incorporate redshift factors for context. revision: yes

  2. Referee: [Results on capacity] Capacity definition and results: The abstract and subsequent claims state an enhancement without supplying the explicit expression for ergotropy or extractable work (presumably involving the Hamiltonian and the modified density matrix). It is therefore impossible to verify whether the reported increase is independent of parameter choices or follows tautologically from the channel definition.

    Authors: We thank the referee for noting the lack of explicit detail. The battery capacity is quantified via ergotropy, defined as the maximum work extractable by a unitary operation: E = Tr(H rho) - min_U Tr(H U rho U^dagger), equivalently expressed using the passive state rho_p whose eigenvalues are sorted in decreasing order aligned with the energy eigenvalues of the system Hamiltonian H. In the revised manuscript we have inserted the explicit formula together with the form of H for the bipartite system and the action of the Hawking thermal channel (and each noise channel) on the density matrix. This makes clear that the observed capacity increase originates from thermal population redistribution rather than following tautologically from the definition, and we have verified the result holds across the scanned parameter ranges. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation self-contained

full rationale

The paper computes quantum battery capacity by evolving a bipartite mixed-state density matrix under standard noise channels (bit-flip, phase-flip, depolarizing) plus a Hawking-temperature thermal channel, then evaluating ergotropy or extractable work. These steps are direct applications of known quantum-information formulas to the chosen model; the reported enhancement emerges as a numerical/analytical outcome rather than a redefinition of inputs. No self-citations are invoked to justify uniqueness or ansatzes, no parameters are fitted on a data subset and then relabeled as predictions, and no renaming of known results occurs. The chain remains independent of the target claim.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Abstract-only review yields limited visibility into parameters; the model likely introduces at least one scale parameter for Hawking temperature and noise strengths, plus standard quantum-information assumptions about mixed states.

axioms (1)
  • domain assumption Bipartite mixed states suffice to model a quantum battery in curved spacetime
    Invoked implicitly when the authors restrict the study to such states without deriving the restriction from the full field theory.

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Reference graph

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