pith. sign in

arxiv: 2605.07449 · v1 · submitted 2026-05-08 · 🪐 quant-ph

Hybrid Qubit-Qutrit Quantum Battery: Nonclassicality and Energy Performance

Pith reviewed 2026-05-11 02:20 UTC · model grok-4.3

classification 🪐 quant-ph
keywords quantum batteryqubit-qutrit hybridquantum coherenceentanglementergotropyHeisenberg couplingnickel-radical complexroom temperature
0
0 comments X

The pith

A hybrid qubit-qutrit system functions as a quantum battery whose performance is boosted by coherence and realizable at room temperature in a nickel-radical complex.

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

The paper sets out to show that a mixed spin-1/2 and spin-1 system coupled by anisotropic Heisenberg exchange in a magnetic field can operate as a quantum battery. It quantifies how coherence and entanglement improve ergotropy and power while capacity stays fixed, then links the model to an actual nickel-radical molecule. A reader would care because the connection implies that the quantum advantages survive without cryogenic cooling, offering a concrete molecular route to usable quantum energy storage.

Core claim

We propose and analyze a hybrid qubit-qutrit quantum battery based on a mixed spin-1/2 and spin-1 system interacting via anisotropic Heisenberg exchange coupling in a homogeneous magnetic field. The l1-norm of coherence and negativity characterize the nonclassical properties, while ergotropy, power, and capacity evaluate battery performance. Both ergotropy and power exhibit oscillatory dynamics, capacity remains constant, and nonclassicality enhances energy-storage efficiency. The theoretical model connects to an experimentally realizable nickel-radical molecular complex in which quantum coherence, entanglement, and efficient storage persist at room temperature.

What carries the argument

The anisotropic Heisenberg exchange coupling between the spin-1/2 qubit and spin-1 qutrit in a magnetic field, which generates the coherence and entanglement that drive the observed battery metrics.

If this is right

  • Ergotropy and power oscillate in time while capacity stays constant.
  • Higher values of coherence and negativity produce larger ergotropy and power.
  • The battery metrics remain usable when the model parameters match those of the nickel-radical complex at room temperature.
  • Nonclassical correlations are required for the efficiency gains reported in the hybrid system.

Where Pith is reading between the lines

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

  • Similar spin-1/2 spin-1 molecular platforms could be screened for still higher room-temperature ergotropy by varying ligand fields.
  • If the oscillatory power can be phase-locked to an external load, the hybrid system might supply pulsed energy on demand without additional control qubits.
  • Room-temperature operation removes the need for dilution refrigerators, potentially allowing quantum batteries to be tested in standard chemistry labs using existing molecular magnets.

Load-bearing premise

The chosen values for the anisotropic coupling strength and magnetic field must accurately describe the real nickel-radical complex at room temperature with no significant extra decoherence or unmodeled interactions.

What would settle it

Direct measurement of ergotropy oscillations or coherence in the nickel-radical complex at room temperature that shows no enhancement over a classical counterpart or rapid loss of the predicted correlations would disprove the practical claim.

Figures

Figures reproduced from arXiv: 2605.07449 by G. Sharvan Prakash, R. Muthuganesan.

Figure 1
Figure 1. Figure 1: FIG. 1. Schematic representation of Quantum battery in Qubit-Qutrit system [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Temporal evolution of (a) [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Temporal evolution of (a) ergotropy, (b) power and (c) capacity of hybrid quantum battery as a function of time at a [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Temporal evolution of (a) [PITH_FULL_IMAGE:figures/full_fig_p007_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Temporal evolution of (a) ergotropy, (b) power and (c) capacity as a function of time at a few selected values of [PITH_FULL_IMAGE:figures/full_fig_p007_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Temporal evolution of (a) [PITH_FULL_IMAGE:figures/full_fig_p008_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. Temporal evolution of (a) ergotropy, (b) power and (c) capacity of the hybrid quantum battery as a function of time [PITH_FULL_IMAGE:figures/full_fig_p009_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. (a) Temporal evolution of quantumness measures such as [PITH_FULL_IMAGE:figures/full_fig_p009_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9. (a) Temporal evolution of quantumness measures such as [PITH_FULL_IMAGE:figures/full_fig_p010_9.png] view at source ↗
read the original abstract

We propose and analyze a hybrid qubit-qutrit quantum battery (QB) based on a mixed spin-1/2 and spin-1 system interacting via an anisotropic Heisenberg exchange coupling in the presence of a homogeneous magnetic field. The nonclassical properties of the system are characterized using the l1-norm of coherence and negativity, which quantify quantum coherence and entanglement, respectively. The performance of the quantum battery is evaluated through key indicators such as ergotropy, power, and capacity. Our results reveal that both ergotropy and power exhibit oscillatory dynamics, while the capacity remains constant over time. We further investigate the influence of system parameters and magnetic field strength on both quantum correlations and battery performance, demonstrating that nonclassicality plays a crucial role in enhancing energy-storage efficiency. Importantly, we establish a connection between the theoretical model and an experimentally realizable nickel-radical molecular complex, showing that quantum coherence, entanglement, and efficient energy storage persist even at room temperature. These findings provide a realistic pathway toward the implementation of hybrid qubit-qutrit quantum batteries in solid-state molecular platforms.

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 paper proposes a hybrid qubit-qutrit quantum battery consisting of a mixed spin-1/2 and spin-1 system coupled by anisotropic Heisenberg exchange in a homogeneous magnetic field. Nonclassicality is quantified via the l1-norm of coherence and negativity; battery performance is evaluated via ergotropy, power, and capacity, which exhibit oscillatory dynamics in the first two quantities and constant capacity. The model is mapped to an experimentally reported nickel-radical molecular complex, with the central claim that coherence, entanglement, and efficient storage persist at room temperature.

Significance. If the room-temperature claim can be substantiated, the work would supply a concrete molecular platform linking quantum correlations to battery metrics and offering a realistic route toward solid-state quantum batteries. The use of standard, independently defined quantifiers (l1-coherence, negativity, ergotropy) and the explicit parameter mapping to a known complex are positive features.

major comments (2)
  1. [Abstract and nickel-radical mapping section] Abstract and the section linking the model to the nickel-radical complex: the assertion that 'quantum coherence, entanglement, and efficient energy storage persist even at room temperature' is based exclusively on closed-system unitary evolution of the time-independent anisotropic Heisenberg Hamiltonian. No Lindblad operators, master-equation terms, or estimates of spin-phonon relaxation rates (T2 ~ ns–μs) are provided, even though kT at 300 K greatly exceeds the reported exchange and anisotropy scales; this omission directly undermines the persistence of the reported oscillations.
  2. [Model section] Model Hamiltonian and parameter choice: the values of J, D, and B are taken from experimental literature on the Ni-radical complex, yet the manuscript provides no quantitative argument that these parameters remain valid once thermal relaxation channels are included, nor any comparison of the unitary oscillation period to expected decoherence times.
minor comments (2)
  1. [Nonclassicality section] Notation for the qubit-qutrit basis states and the explicit form of the l1-coherence and negativity expressions should be stated once in a dedicated subsection for clarity.
  2. [Results figures] Figure captions for the time-dependent plots of ergotropy and power should include the specific parameter values (J, D, B, temperature) used in each panel.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful and constructive report. The major comments correctly highlight that our analysis is restricted to closed-system unitary evolution and that the room-temperature persistence claim therefore requires qualification. We address each point below and will revise the manuscript to incorporate appropriate caveats and additional discussion.

read point-by-point responses
  1. Referee: [Abstract and nickel-radical mapping section] Abstract and the section linking the model to the nickel-radical complex: the assertion that 'quantum coherence, entanglement, and efficient energy storage persist even at room temperature' is based exclusively on closed-system unitary evolution of the time-independent anisotropic Heisenberg Hamiltonian. No Lindblad operators, master-equation terms, or estimates of spin-phonon relaxation rates (T2 ~ ns–μs) are provided, even though kT at 300 K greatly exceeds the reported exchange and anisotropy scales; this omission directly undermines the persistence of the reported oscillations.

    Authors: We agree that the current claim is overstated. Our study examines only the closed-system dynamics generated by the time-independent anisotropic Heisenberg Hamiltonian, and the nickel-radical complex is invoked solely because its reported parameters (J, D, B) match the model and the complex itself has been synthesized at room temperature. We will revise the abstract and the mapping section to state that the unitary evolution demonstrates the potential for sustained nonclassicality and constant capacity under ideal conditions. We will add a dedicated paragraph noting that thermal relaxation and decoherence (with typical T2 on the ns–μs scale) are expected to damp the oscillations and that a full open-system treatment lies beyond the present scope. The revised text will avoid any implication that the reported oscillations persist at room temperature without further analysis. revision: yes

  2. Referee: [Model section] Model Hamiltonian and parameter choice: the values of J, D, and B are taken from experimental literature on the Ni-radical complex, yet the manuscript provides no quantitative argument that these parameters remain valid once thermal relaxation channels are included, nor any comparison of the unitary oscillation period to expected decoherence times.

    Authors: We acknowledge the absence of such a comparison. The parameter values are taken directly from the experimental literature on the nickel-radical complex to anchor the model in a realizable system. In the revised manuscript we will insert a quantitative discussion that (i) extracts the characteristic oscillation period of the ergotropy from the energy eigenvalues of the Hamiltonian and (ii) contrasts this period with literature values of decoherence times for analogous molecular spin systems. We will explicitly note that the quoted parameters describe the coherent regime and that their validity under strong thermal relaxation would require an open-system treatment, which we flag as future work. This addition will supply the requested argument while preserving the closed-system focus of the present study. revision: yes

Circularity Check

0 steps flagged

No circularity: standard QI measures on literature-parameterized Hamiltonian

full rationale

The derivation begins with an anisotropic Heisenberg Hamiltonian whose parameters (J, D, B) are taken directly from external experimental reports on the nickel-radical complex. It then applies the independently defined l1-norm of coherence, negativity, and ergotropy to the unitary time evolution generated by that Hamiltonian. None of these quantities are fitted to the target performance metrics, nor are any results obtained by renaming or self-referential definition of the inputs. The room-temperature persistence statement follows from plugging the literature values into the closed-system dynamics; while this modeling choice may be critiqued on physical grounds, it does not constitute a circular reduction of the claimed results to the paper's own definitions or fitted parameters.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Only the abstract is available, so free parameters, axioms, and invented entities cannot be enumerated in detail. The work relies on standard quantum mechanics and open-system dynamics without introducing new postulated entities.

pith-pipeline@v0.9.0 · 5488 in / 1155 out tokens · 47949 ms · 2026-05-11T02:20:36.511560+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

Works this paper leans on

50 extracted references · 50 canonical work pages

  1. [1]

    Breuer and F

    H.-P. Breuer and F. Petruccione, The theory of open quantum systems, Clarendon Press, Oxford, (2009)

  2. [2]

    Gemmer, M

    J. Gemmer, M. Michel, and G. Mahler, Quantum thermodynamics: emergence of thermodynamic behavior within com- posite quantum systems, Springer Berlin Heidelberg, Berlin, Heidelberg, (2009)

  3. [3]

    Binder, L

    F. Binder, L. A. Correa, C. Gogolin, J. Anders, and G. Adesso, Thermodynamics in the quantum regime: rundamental aspects and new directions, Springer International Publishing, Cham (2018)

  4. [4]

    Deffner and S

    S. Deffner and S. Campbell, Quantum thermodynamics: An introduction to the thermodynamics of quantum information, arXiv:1907.01596

  5. [5]

    A., Nielsen, I

    M. A., Nielsen, I. L. Chuang, Quantum Computation and Quantum Information; Cambridge University Press: Cambridge, UK, (2010)

  6. [6]

    Resources of the quantum world

    G. Gour, Resources of quantum world, arxiv: 2402.05474

  7. [7]

    Metzler, J

    F. Metzler, J. I. Sandoval, and N. Galvanetto, The emergence of quantum energy science, J. Phys. Energy5, 041001 (2023)

  8. [8]

    J. Q. Quach, K. E. McGhee, L. Ganzer, D. M. Rouse, B. W. Lovett, E. M. Gauger, J. Keeling, G. Cerullo, D. G. Lidzey, and T. Virgili, Superabsorption in an organic microcavity: Toward a quantum battery, Sci. Adv.8, eabk3160 (2022)

  9. [9]

    Joshi and T

    J. Joshi and T. S. Mahesh, Experimental investigation of a quantum battery using star-topology NMR spin systems, Phys. Rev. A106, 042601 (2022)

  10. [10]

    Elghaayda, A

    S. Elghaayda, A. Ali, S. Al-Kuwari, A. Czerwinski, M. Mansour, and S. Haddadi, Performance of a superconducting quantum battery, Adv Quantum Tech8,2400651 (2025)

  11. [11]

    Huang, K

    X. Huang, K. Wang, L. Xiao, L. Gao, H. Lin, and P. Xue, Demonstration of the charging progress of quantum batteries, Phys. Rev. A107, L030201 (2023)

  12. [12]

    G. Zhu, Y. Chen, Y. Hasegawa, and P. Xue, Phys. Rev. Lett.131, 240401 (2023) 12

  13. [13]

    D. J. Brod, E. F. Galvão, A. Crespi, R. Osellame, N. Spagnolo, and F. Sciarrino, Photonic implementation of boson sampling: A review, Adv. Photon.1, 034001 (2019)

  14. [14]

    D. Rosa, D. Rossini, G. M. Andolina, M. Polini, and M. Carrega, Ultra-stable charging of fast-scrambling SYK quantum batteries, J. High Energ. Phys. 2020,67(2020)

  15. [15]

    H. Wang, H. Gong, and B. Li, Battery capacity in tripartite quantum systems under local Pauli noise, Laser Phys. Lett. 22, 065204 (2025)

  16. [16]

    G. M. Andolina, M. Keck, A. Mari, M. Campisi, V. Giovannetti, and M. Polini, Extractable work, the role of correlations, and asymptotic freedom in quantum qatteries, Phys. Rev. Lett.122, 047702 (2019)

  17. [17]

    J. R. Parkavi, R. Muthuganesan, and V. K. Chandrasekar, Tunable dynamics of a dipolar quantum battery: role of spin-spin interactions and coherence, Phys. Scr.101, 015102 (2026)

  18. [18]

    Gemme, M

    G. Gemme, M. Grossi, S. Vallecorsa, M. Sassetti, and D. Ferraro, Qutrit quantum battery: Comparing different charging protocols, Phys. Rev. Research6, 023091 (2024)

  19. [19]

    Yang and F.-Q

    F.-M. Yang and F.-Q. Dou, Resonator-qutrit quantum battery, Phys. Rev. A109, 062432 (2024)

  20. [20]

    Mojaveri, R

    B. Mojaveri, R. Jafarzadeh Bahrbeig, M. A. Fasihi, and S. Babanzadeh, Enhancing the direct charging performance of an open quantum battery by adjusting its velocity, Sci Rep13, 19827 (2023)

  21. [21]

    Francica, J

    G. Francica, J. Goold, F. Plastina, et al. Daemonic ergotropy: enhanced work extraction from quantum correlations. npj Quantum Inf3, 12 (2017)

  22. [22]

    Çakmak, Ergotropy from coherences in an open quantum system, Phys

    B. Çakmak, Ergotropy from coherences in an open quantum system, Phys. Rev. E102, 042111 (2020)

  23. [23]

    Francica, Quantum correlations and ergotropy, Phys

    G. Francica, Quantum correlations and ergotropy, Phys. Rev. E105, L052101 (2022),

  24. [24]

    C. A. Downing and M. S. Ukhtary, Charging a quantum battery from the Bloch sphere, Ann. Phys. (Berl.)538, e00638 (2026)

  25. [25]

    Yang, Y.-H

    X. Yang, Y.-H. Yang, X.-Z. Liu, J.-L. Jiang, X.-Z. Zheng, S.-M. Fei, and M.-X. Luo, Experimental verification of quantum battery capacity with an optical platform, Cell Reports Physical Science5, 102300 (2024)

  26. [26]

    Zhang, Q

    Y. Zhang, Q. Zhou, H. Xu, G. Kang, and M. Fang, Comparing the quantum memory-assisted entropic uncertainties of spin-qubit in presence of spin-qutrit and spin-qubit quantum memories in Heisenberg spin chains, Quantum Information Processing22, 432 (2023)

  27. [27]

    A. Ali, S. Al-Kuwari, M. I. Hussain, T. Byrnes, M. T. Rahim, J. Q. Quach, M. Ghominejad, and S. Haddadi, Phys. Rev. A110, 052404 (2024)

  28. [28]

    T. P. Le, J. Levinsen, K. Modi, M. M. Parish, and F. A. Pollock, Spin-chain model of a many-body quantum battery, Phys. Rev. A97, 022106 (2018)

  29. [29]

    A. S. T. Pires, Theoretical tools for spin models in magnetic systems IOP Publishing, (2021)

  30. [30]

    D. Wang, F. Ming, A.-J. Huang, W.-Y. Sun, and Y. Liu, Laser Phys. Lett.14, 095204 (2017)

  31. [31]

    F. C. Binder, S. Vinjanampathy, K. Modi, and J. Goold, New J. Phys.17, 075015 (2015)

  32. [32]

    Campaioli, F

    F. Campaioli, F. A. Pollock, F. C. Binder, L. C´eleri, J. Goold, S. Vinjanampathy, and K. Modi, Phys. Rev. Lett.118, 150601 (2017)

  33. [33]

    Yan and J

    J. Yan and J. Jing, Charging by quantum measurement, Phys. Rev. Appl.19, 064069 (2023)

  34. [34]

    Centrone, L

    F. Centrone, L. Mancino, and M. Paternostro, Charging batteries with quantum squeezing, Phys. Rev. A108, 052213 (2023)

  35. [35]

    Lai, J.-D

    P.-R. Lai, J.-D. Lin, Y.-T. Huang, H.-C. Jan, and Y.-N. Chen, Quick charging of a quantum battery with superposed trajectories, Phys. Rev. Research6, 023136 (2024)

  36. [36]

    F. H. Kamin, F. T. Tabesh, S. Salimi, and A. C. Santos, Entanglement, coherence, and charging process of quantum batteries, Phys. Rev. E102, 052109 (2020)

  37. [37]

    Naveena, S

    P. Naveena, S. Bhuvaneswari, R. Radha, and R. Muthuganesan, Quantum correlations in a mixed spin-(1/2,1) Heisenberg dimer, J. Mag. Mag. Mater.563, 169863 (2022)

  38. [38]

    Abhignan and R

    V. Abhignan and R. Muthuganesan, Hierarchy of quantum correlations in qubit-qutrit axially symmetric states, arXiv:2601.12292

  39. [39]

    Entanglement Boost for Extractable work from ensembles of quantum Batteries

    R. Alicki, and M. Fannes. “Entanglement Boost for Extractable work from ensembles of quantum Batteries.” Phys. Rev. E,87, 042123 (2013)

  40. [40]

    K. S. Rahman, and S. Murugesh, Effect of DM interaction in the charging process of a Heisenberg spin chain quantum battery, Phys. Scr.100, 015106 (2025)

  41. [41]

    Zhang, X

    X. Zhang, X. Song, and D. Wang, Quantum battery in the Heisenberg spin chain models with Dzyaloshinskii-Moriya interaction, Adv Quantum Tech.7, 2400114 (2024)

  42. [42]

    Strečka and E

    J. Strečka and E. S. Shahrabadi, Room-Temperature Entanglement of the Nickel-Radical Molecular Complex (Et3N H)[N i(hf ac)2L]Reinforced by the Magnetic Field, Inorganics12, 102 (2024)

  43. [43]

    Spinu, C. A. et al. Synthesis, crystal structure, magnetic, spectroscopic, and theoretical investigations of two new nitronyl- nitroxide complexes. Journal of Coordination Chemistry74, 279–293 (2021)

  44. [44]

    Bhuvaneswari, R

    S. Bhuvaneswari, R. Muthuganesan, and R. Radha, Quantum correlation and coherence in a Mononuclear Nickel-Based Molecular Magnet, arXiv: 2602.20013

  45. [45]

    Nakano, M

    T. Nakano, M. Piani, and G. Adesso, Negativity of quantumness and its interpretations, Phys. Rev. A88, 012117 (2013)

  46. [46]

    S-Carrillo, et al

    E. S-Carrillo, et al. Entanglement and Quantum Phase Transition in a Mixed-Spin Heisenberg Chain with Single-Ion Anisotropy, Physica A,390, 2208–14 (2011)

  47. [47]

    Cepollaro, G

    S. Cepollaro, G. Chirco, G. Cuffaro, and V. D’Esposito, Entanglement Negativity on Random Spin Networks. Phys. Rev. D107, 086003 (2023)

  48. [48]

    Vidal, and R

    G. Vidal, and R. F. Werner, Computable measure of entanglement, Phys. Rev. A,65, 032314 (2002). 13

  49. [49]

    Baumgratz, M

    T. Baumgratz, M. Cramer and M. B. Plenio, Quantifying Coherence, Phys. Rev. Lett.113, 140401 (2014)

  50. [50]

    Streltsov, G

    A. Streltsov, G. Adesso, and M. B. Plenio, Colloquium: Quantum coherence as a resource, Rev. Mod. Phys.89, 041003 (2017). Appendix A: Thermal state of hybrid Quantum Battery Using the definition of thermal state Eq. (3), the density matrix of the qubit-qutrit system can be computed as ϱ(0, T) = 1 Z   ϱ0 11 0 0 0 0 0 0ϱ 0 22 0ϱ 0 24 0 0 0 0ϱ 0 33 0ϱ...