Harnessing Nth root gates for energy storage

We explore the use of fractional controlled-not gates in quantum thermodynamics. The Nth-root gate allows for a paced application of two-qubit operations. We apply it in quantum thermodynamic protocols for charging a quantum battery. Circuits for three (and two) qubits are analysed by considering th...

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Autores:
Herrera Trujillo, Alba Marcela
Fox, Elliot John
Schmidt-Kaler, Ferdinand
D’Amico, Irene
Tipo de recurso:
Article of investigation
Fecha de publicación:
2024
Institución:
Universidad Autónoma de Occidente
Repositorio:
RED: Repositorio Educativo Digital UAO
Idioma:
eng
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oai:red.uao.edu.co:10614/16228
Acceso en línea:
https://hdl.handle.net/10614/16228
https://red.uao.edu.co/
Palabra clave:
Quantum battery
Quantum thermodynamics
Ergotropy
Quantum computation
Quantum protocols
Batería cuántica
Termodinámica cuántica
Ergotropía
Computación cuántica
Protocolos cuánticos
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openAccess
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Derechos reservados - MDPI, 2024
id REPOUAO2_ed108f8de49cc9b11f0d4414d35f8959
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network_acronym_str REPOUAO2
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dc.title.eng.fl_str_mv Harnessing Nth root gates for energy storage
dc.title.translated.spa.fl_str_mv Aprovechamiento de las puertas raíz N-ésima para el almacenamiento de energía
title Harnessing Nth root gates for energy storage
spellingShingle Harnessing Nth root gates for energy storage
Quantum battery
Quantum thermodynamics
Ergotropy
Quantum computation
Quantum protocols
Batería cuántica
Termodinámica cuántica
Ergotropía
Computación cuántica
Protocolos cuánticos
title_short Harnessing Nth root gates for energy storage
title_full Harnessing Nth root gates for energy storage
title_fullStr Harnessing Nth root gates for energy storage
title_full_unstemmed Harnessing Nth root gates for energy storage
title_sort Harnessing Nth root gates for energy storage
dc.creator.fl_str_mv Herrera Trujillo, Alba Marcela
Fox, Elliot John
Schmidt-Kaler, Ferdinand
D’Amico, Irene
dc.contributor.author.none.fl_str_mv Herrera Trujillo, Alba Marcela
Fox, Elliot John
Schmidt-Kaler, Ferdinand
D’Amico, Irene
dc.subject.proposal.eng.fl_str_mv Quantum battery
Quantum thermodynamics
Ergotropy
Quantum computation
Quantum protocols
topic Quantum battery
Quantum thermodynamics
Ergotropy
Quantum computation
Quantum protocols
Batería cuántica
Termodinámica cuántica
Ergotropía
Computación cuántica
Protocolos cuánticos
dc.subject.proposal.spa.fl_str_mv Batería cuántica
Termodinámica cuántica
Ergotropía
Computación cuántica
Protocolos cuánticos
description We explore the use of fractional controlled-not gates in quantum thermodynamics. The Nth-root gate allows for a paced application of two-qubit operations. We apply it in quantum thermodynamic protocols for charging a quantum battery. Circuits for three (and two) qubits are analysed by considering the generated ergotropy and other measures of performance. We also perform an optimisation of initial system parameters, e.g.,the initial quantum coherence of one of the qubits strongly affects the efficiency of protocols and the system’s performance as a battery. Finally, we briefly discuss the feasibility for an experimental realization
publishDate 2024
dc.date.issued.none.fl_str_mv 2024
dc.date.accessioned.none.fl_str_mv 2025-07-28T14:41:26Z
dc.date.available.none.fl_str_mv 2025-07-28T14:41:26Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.eng.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.content.eng.fl_str_mv Text
dc.type.driver.eng.fl_str_mv info:eu-repo/semantics/article
dc.type.redcol.eng.fl_str_mv http://purl.org/redcol/resource_type/ART
dc.type.version.eng.fl_str_mv info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.citation.eng.fl_str_mv Fox, E. J.; Herrera Trujillo, A. M.; Schmidt-Kaler, F. y D’Amico, I. (2024). Harnessing Nth root gates for energy storage. Entropy. 26(11). https://doi.org/10.3390/e26110952
dc.identifier.issn.spa.fl_str_mv 10994300
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/10614/16228
dc.identifier.instname.spa.fl_str_mv Universidad Autónoma de Occidente
dc.identifier.reponame.spa.fl_str_mv Respositorio Educativo Digital UAO
dc.identifier.repourl.none.fl_str_mv https://red.uao.edu.co/
identifier_str_mv Fox, E. J.; Herrera Trujillo, A. M.; Schmidt-Kaler, F. y D’Amico, I. (2024). Harnessing Nth root gates for energy storage. Entropy. 26(11). https://doi.org/10.3390/e26110952
10994300
Universidad Autónoma de Occidente
Respositorio Educativo Digital UAO
url https://hdl.handle.net/10614/16228
https://red.uao.edu.co/
dc.language.iso.eng.fl_str_mv eng
language eng
dc.relation.citationendpage.spa.fl_str_mv 20
dc.relation.citationissue.spa.fl_str_mv 11
dc.relation.citationstartpage.spa.fl_str_mv 1
dc.relation.citationvolume.spa.fl_str_mv 26
dc.relation.ispartofjournal.eng.fl_str_mv Entropy
dc.relation.references.none.fl_str_mv 1. Roßnagel, J.; Dawkins, S.T.; Tolazzi, K.N.; Abah, O.; Lutz, E.; Schmidt-Kaler, F.; Singer, K. A single-atom heat engine. Science 2016, 352, 325–329. [CrossRef] [PubMed]
2. Peterson, J.P.; Batalhão, T.B.; Herrera, M.; Souza, A.M.; Sarthour, R.S.; Oliveira, I.S.; Serra, R.M. Experimental Characterization of a Spin Quantum Heat Engine. Phys. Rev. Lett. 2019, 123, 240601. [CrossRef] [PubMed]
3. Klatzow, J.; Becker, J.N.; Ledingham, P.M.; Weinzetl, C.; Kaczmarek, K.T.; Saunders, D.J.; Nunn, J.; Walmsley, I.A.; Uzdin, R.; Poem, E. Experimental Demonstration of Quantum Effects in the Operation of Microscopic Heat Engines. Phys. Rev. Lett. 2019, 122, 110601. [CrossRef] [PubMed]
4. von Lindenfels, D.; Gräb, O.; Schmiegelow, C.T.; Kaushal, V.; Schulz, J.; Mitchison, M.T.; Goold, J.; Schmidt-Kaler, F.; Poschinger, U.G. Spin Heat Engine Coupled to a Harmonic-Oscillator Flywheel. Phys. Rev. Lett. 2019, 123, 080602. [CrossRef] [PubMed]
5. Van Horne, N.; Yum, D.; Dutta, T.; Hänggi, P.; Gong, J.; Poletti, D.; Mukherjee, M. Single-atom energy-conversion device with a quantum load. NPJ Quantum Inf. 2020, 6, 37. [CrossRef]
6. Bouton, Q.; Nettersheim, J.; Burgardt, S.; Adam, D.; Lutz, E.; Widera, A. A quantum heat engine driven by atomic collisions. Nat. Commun. 2021, 12, 2063. [CrossRef]
7. Lisboa, V.F.; Dieguez, P.R.; Guimarães, J.R.; Santos, J.F.G.; Serra, R.M. Experimental investigation of a quantum heat engine powered by generalized measurements. Phys. Rev. A 2022, 106, 022436. [CrossRef]
8. Herrera, M.; Reina, J.H.; D’Amico, I.; Serra, R.M. Correlation-boosted quantum engine: A proof-of-principle demonstration. Phys. Rev. Res. 2023, 5, 043104. [CrossRef]
9. Dillenschneider, R.; Lutz, E. Energetics of quantum correlations. Europhys. Lett. 2009, 88, 50003. [CrossRef]
10. Roßnagel, J.; Abah, O.; Schmidt-Kaler, F.; Singer, K.; Lutz, E. Nanoscale Heat Engine Beyond the Carnot Limit. Phys. Rev. Lett. 2014, 112, 030602. [CrossRef]
11. Vinjanampathy, S.; Anders, J. Quantum thermodynamics. Contemp. Phys. 2016, 57, 545–579. [CrossRef]
12. Bera, M.N.; Riera, A.; Lewenstein, M.; Winter, A. Generalized laws of thermodynamics in the presence of correlations. Nat. Commun. 2017, 8, 2180. [CrossRef] [PubMed]
13. Campaioli, F.; Pollock, F.A.; Binder, F.C.; Céleri, L.; Goold, J.; Vinjanampathy, S.; Modi, K. Enhancing the Charging Power of Quantum Batteries. Phys. Rev. Lett. 2017, 118, 150601. [CrossRef] [PubMed]
14. Ferraro, D.; Campisi, M.; Andolina, G.M.; Pellegrini, V.; Polini, M. High-Power Collective Charging of a Solid-State Quantum Battery. Phys. Rev. Lett. 2018, 120, 117702. [CrossRef] [PubMed]
15. Le, T.P.; Levinsen, J.; Modi, K.; Parish, M.M.; Pollock, F.A. Spin-chain model of a many-body quantum battery. Phys. Rev. A 2018, 97, 022106. [CrossRef]
16. Zhang, Y.Y.; Yang, T.R.; Fu, L.; Wang, X. Powerful harmonic charging in a quantum battery. Phys. Rev. E 2019, 99, 052106. [CrossRef]
17. Joshi, J.; Mahesh, T.S. Experimental investigation of a quantum battery using star-topology NMR spin systems. Phys. Rev. A 2022, 106, 042601. [CrossRef]
18. Yao, Y.; Shao, X.Q. Optimal charging of open spin-chain quantum batteries via homodyne-based feedback control. Phys. Rev. E 2022, 106, 014138. [CrossRef]
19. Binder, F.C.; Vinjanampathy, S.; Modi, K.; Goold, J. Quantacell: Powerful charging of quantum batteries. New J. Phys. 2015, 17, 075015. [CrossRef]
20. Campaioli, F.; Pollock, F.A.; Vinjanampathy, S. Quantum Batteries. In Thermodynamics in the Quantum Regime. Fundamental Theories of Physics; Springer: Cham, Switzerland, 2018. [CrossRef]
21. Alicki, R.; Fannes, M. Entanglement boost for extractable work from ensembles of quantum batteries. Phys. Rev. E—Stat. Nonlinear Soft Matter Phys. 2013, 87, 042123. [CrossRef]
22. Pijn, D.; Onishchenko, O.; Hilder, J.; Poschinger, U.G.; Schmidt-Kaler, F.; Uzdin, R. Detecting Heat Leaks with Trapped Ion Qubits. Phys. Rev. Lett. 2022, 128, 110601. [CrossRef] [PubMed]
23. Wu, X.; Liang, X.; Tian, Y.; Yang, F.; Chen, C.; Liu, Y.C.; Tey, M.K.; You, L. A concise review of Rydberg atom based quantum computation and quantum simulation. Chin. Phys. B 2021, 30, 020305. [CrossRef]
24. Abdelhafez, M.; Baker, B.; Gyenis, A.; Mundada, P.; Houck, A.A.; Schuster, D.; Koch, J. Universal gates for protected superconducting qubits using optimal control. Phys. Rev. A 2020, 101, 022321. [CrossRef]
25. Giorgi, G.L.; Campbell, S. Correlation approach to work extraction from finite quantum systems. J. Phys. B At. Mol. Opt. Phys. 2015, 48, 035501. [CrossRef]
26. Perarnau-Llobet, M.; Hovhannisyan, K.V.; Huber, M.; Skrzypczyk, P.; Tura, J.; Acín, A. Most energetic passive states. Phys. Rev. E 2015, 92, 042147. [CrossRef]
27. Shaghaghi, V.; Singh, V.; Benenti, G.; Rosa, D. Micromasers as quantum batteries. Quantum Sci. Technol. 2022, 7, 04LT01. [CrossRef]
28. Miller, H.J.D.; Scandi, M.; Anders, J.; Perarnau-Llobet, M. Work Fluctuations in Slow Processes: Quantum Signatures and Optimal Control. Phys. Rev. Lett. 2019, 123, 230603. [CrossRef]
29. Scandi, M.; Miller, H.J.D.; Anders, J.; Perarnau-Llobet, M. Quantum work statistics close to equilibrium. Phys. Rev. Res. 2020, 2, 023377. [CrossRef]
30. Onishchenko, O.; Guarnieri, G.; Rosillo-Rodes, P.; Pijn, D.; Hilder, J.; Poschinger, U.G.; Perarnau-Llobet, M.; Eisert, J.; Schmidt- Kaler, F. Probing coherent quantum thermodynamics using a trapped ion. Nat. Commun. 2024, 15, 6974. [CrossRef]
31. Morrone, D.; Rossi, M.A.C.; Smirne, A.; Genoni, M.G. Charging a quantum battery in a non-Markovian environment: A collisional model approach. Quantum Sci. Technol. 2023, 8, 035007. [CrossRef]
32. Landi, G.T. Battery Charging in Collision Models with Bayesian Risk Strategies. Entropy 2021, 23, 1627. [CrossRef]
33. Barra, F. Efficiency Fluctuations in a Quantum Battery Charged by a Repeated Interaction Process. Entropy 2022, 24, 820. [CrossRef]
34. Lenard, A. Thermodynamical Proof of the Gibbs Formula for Elementary Quantum Systems. J. Stat. Phys. 1978, 19, 575–586. [CrossRef]
35. Gyhm, J.Y.; Fischer, U.R. Beneficial and detrimental entanglement for quantum battery charging. AVS Quantum Sci. 2024, 6, 012001. [CrossRef]
36. Nikolov, P. Controlled nth root of X gate on a real quantum computer. AIP Conf. Proc. 2019, 2172, 090006. [CrossRef]
37. Allahverdyan, A.E.; Balian, R.; Nieuwenhuizen, T.M. Maximal work extraction from finite quantum systems. Europhys. Lett. 2004, 67, 565–571. [CrossRef]
38. Pusz, W.; Woronowicz, S.L. Passive States and KMS States for General Quantum Systems. Commun. Math. Phys 1978, 58, 273–290. [CrossRef]
39. Andolina, G.M.; Keck, M.; Mari, A.; Campisi, M.; Giovannetti, V.; Polini, M. Extractable Work, the Role of Correlations, and Asymptotic Freedom in Quantum Batteries. Phys. Rev. Lett. 2019, 122, 047702. [CrossRef]
40. Stahl, A.; Kewming, M.; Goold, J.; Hilder, J.; Poschinger, U.G.; Schmidt-Kaler, F. Demonstration of energy extraction gain from non-classical correlations. arXiv 2024, arXiv:2404.14838.
41. Martinez, E.A.; Muschik, C.A.; Schindler, P.; Nigg, D.; Erhard, A.; Heyl, M.; Hauke, P.; Dalmonte, M.; Monz, T.; Zoller, P.; et al. Real-time dynamics of lattice gauge theories with a few-qubit quantum computer. Nature 2016, 534, 516. [CrossRef]
42. Francica, G.; Binder, F.C.; Guarnieri, G.; Mitchison, M.T.; Goold, J.; Plastina, F. Quantum Coherence and Ergotropy. Phys. Rev. Lett. 2020, 125, 180603. [CrossRef] [PubMed]
43. Francica, G. Class of quasiprobability distributions of work with initial quantum coherence. Phys. Rev. E 2022, 105, 014101. [CrossRef] [PubMed]
44. Tacchino, F.; Santos, T.F.; Gerace, D.; Campisi, M.; Santos, M.F. Charging a quantum battery via nonequilibrium heat current. Phys. Rev. E 2020, 102, 062133. [CrossRef] [PubMed]
45. Julia-Farre, S.; Salamon, T.; Riera, A.; Bera, M.N.; Lewenstein, M. Bounds on the capacity and power of quantum batteries. Phys. Rev. Res. 2018, 2, 023113. [CrossRef]
46. Son, J.; Talkner, P.; Thingna, J. Charging quantum batteries via Otto machines: Influence of monitoring. Phys. Rev. A 2022, 106, 052202. [CrossRef]
47. Ahmadi, B.; Mazurek, P.; Horodecki, P.; Barzanjeh, S. Nonreciprocal Quantum Batteries. Phys. Rev. Lett. 2024, 132, 210402. [CrossRef]
48. Gyhm, J.Y.; Šafránek, D.; Rosa, D. Quantum Charging Advantage Cannot Be Extensive without Global Operations. Phys. Rev. Lett. 2022, 128, 140501. [CrossRef]
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spelling Herrera Trujillo, Alba Marcelavirtual::6198-1Fox, Elliot JohnSchmidt-Kaler, FerdinandD’Amico, Irene2025-07-28T14:41:26Z2025-07-28T14:41:26Z2024Fox, E. J.; Herrera Trujillo, A. M.; Schmidt-Kaler, F. y D’Amico, I. (2024). Harnessing Nth root gates for energy storage. Entropy. 26(11). https://doi.org/10.3390/e2611095210994300https://hdl.handle.net/10614/16228Universidad Autónoma de OccidenteRespositorio Educativo Digital UAOhttps://red.uao.edu.co/We explore the use of fractional controlled-not gates in quantum thermodynamics. The Nth-root gate allows for a paced application of two-qubit operations. We apply it in quantum thermodynamic protocols for charging a quantum battery. Circuits for three (and two) qubits are analysed by considering the generated ergotropy and other measures of performance. We also perform an optimisation of initial system parameters, e.g.,the initial quantum coherence of one of the qubits strongly affects the efficiency of protocols and the system’s performance as a battery. Finally, we briefly discuss the feasibility for an experimental realizationExploramos el uso de puertas no controladas fraccionarias en termodinámica cuántica. La puerta de raíz enésima permite la aplicación gradual de operaciones de dos cúbits. La aplicamos en protocolos de termodinámica cuántica para la carga de una batería cuántica. Se analizan circuitos para tres (y dos) cúbits considerando la ergotropía generada y otras medidas de rendimiento. También optimizamos los parámetros iniciales del sistema; por ejemplo, la coherencia cuántica inicial de uno de los cúbits afecta significativamente la eficiencia de los protocolos y el rendimiento del sistema como batería. Finalmente, analizamos brevemente la viabilidad de una implementación experimental20 páginasapplication/pdfengMDPIBasel, SwitzerlandDerechos reservados - MDPI, 2024https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessAtribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)http://purl.org/coar/access_right/c_abf2Harnessing Nth root gates for energy storageAprovechamiento de las puertas raíz N-ésima para el almacenamiento de energíaArtículo de revistahttp://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a852011126Entropy1. Roßnagel, J.; Dawkins, S.T.; Tolazzi, K.N.; Abah, O.; Lutz, E.; Schmidt-Kaler, F.; Singer, K. A single-atom heat engine. Science 2016, 352, 325–329. [CrossRef] [PubMed]2. Peterson, J.P.; Batalhão, T.B.; Herrera, M.; Souza, A.M.; Sarthour, R.S.; Oliveira, I.S.; Serra, R.M. Experimental Characterization of a Spin Quantum Heat Engine. Phys. Rev. Lett. 2019, 123, 240601. [CrossRef] [PubMed]3. Klatzow, J.; Becker, J.N.; Ledingham, P.M.; Weinzetl, C.; Kaczmarek, K.T.; Saunders, D.J.; Nunn, J.; Walmsley, I.A.; Uzdin, R.; Poem, E. Experimental Demonstration of Quantum Effects in the Operation of Microscopic Heat Engines. Phys. Rev. Lett. 2019, 122, 110601. [CrossRef] [PubMed]4. von Lindenfels, D.; Gräb, O.; Schmiegelow, C.T.; Kaushal, V.; Schulz, J.; Mitchison, M.T.; Goold, J.; Schmidt-Kaler, F.; Poschinger, U.G. Spin Heat Engine Coupled to a Harmonic-Oscillator Flywheel. Phys. Rev. Lett. 2019, 123, 080602. [CrossRef] [PubMed]5. Van Horne, N.; Yum, D.; Dutta, T.; Hänggi, P.; Gong, J.; Poletti, D.; Mukherjee, M. Single-atom energy-conversion device with a quantum load. NPJ Quantum Inf. 2020, 6, 37. [CrossRef]6. Bouton, Q.; Nettersheim, J.; Burgardt, S.; Adam, D.; Lutz, E.; Widera, A. A quantum heat engine driven by atomic collisions. Nat. Commun. 2021, 12, 2063. [CrossRef]7. Lisboa, V.F.; Dieguez, P.R.; Guimarães, J.R.; Santos, J.F.G.; Serra, R.M. Experimental investigation of a quantum heat engine powered by generalized measurements. Phys. Rev. A 2022, 106, 022436. [CrossRef]8. Herrera, M.; Reina, J.H.; D’Amico, I.; Serra, R.M. Correlation-boosted quantum engine: A proof-of-principle demonstration. Phys. Rev. Res. 2023, 5, 043104. [CrossRef]9. Dillenschneider, R.; Lutz, E. Energetics of quantum correlations. Europhys. Lett. 2009, 88, 50003. [CrossRef]10. Roßnagel, J.; Abah, O.; Schmidt-Kaler, F.; Singer, K.; Lutz, E. Nanoscale Heat Engine Beyond the Carnot Limit. Phys. Rev. Lett. 2014, 112, 030602. [CrossRef]11. Vinjanampathy, S.; Anders, J. Quantum thermodynamics. Contemp. Phys. 2016, 57, 545–579. [CrossRef]12. Bera, M.N.; Riera, A.; Lewenstein, M.; Winter, A. Generalized laws of thermodynamics in the presence of correlations. Nat. Commun. 2017, 8, 2180. [CrossRef] [PubMed]13. Campaioli, F.; Pollock, F.A.; Binder, F.C.; Céleri, L.; Goold, J.; Vinjanampathy, S.; Modi, K. Enhancing the Charging Power of Quantum Batteries. Phys. Rev. Lett. 2017, 118, 150601. [CrossRef] [PubMed]14. Ferraro, D.; Campisi, M.; Andolina, G.M.; Pellegrini, V.; Polini, M. High-Power Collective Charging of a Solid-State Quantum Battery. Phys. Rev. Lett. 2018, 120, 117702. [CrossRef] [PubMed]15. Le, T.P.; Levinsen, J.; Modi, K.; Parish, M.M.; Pollock, F.A. Spin-chain model of a many-body quantum battery. Phys. Rev. A 2018, 97, 022106. [CrossRef]16. Zhang, Y.Y.; Yang, T.R.; Fu, L.; Wang, X. Powerful harmonic charging in a quantum battery. Phys. Rev. E 2019, 99, 052106. [CrossRef]17. Joshi, J.; Mahesh, T.S. Experimental investigation of a quantum battery using star-topology NMR spin systems. Phys. Rev. A 2022, 106, 042601. [CrossRef]18. Yao, Y.; Shao, X.Q. Optimal charging of open spin-chain quantum batteries via homodyne-based feedback control. Phys. Rev. E 2022, 106, 014138. [CrossRef]19. Binder, F.C.; Vinjanampathy, S.; Modi, K.; Goold, J. Quantacell: Powerful charging of quantum batteries. New J. Phys. 2015, 17, 075015. [CrossRef]20. Campaioli, F.; Pollock, F.A.; Vinjanampathy, S. Quantum Batteries. In Thermodynamics in the Quantum Regime. Fundamental Theories of Physics; Springer: Cham, Switzerland, 2018. [CrossRef]21. Alicki, R.; Fannes, M. Entanglement boost for extractable work from ensembles of quantum batteries. Phys. Rev. E—Stat. Nonlinear Soft Matter Phys. 2013, 87, 042123. [CrossRef]22. Pijn, D.; Onishchenko, O.; Hilder, J.; Poschinger, U.G.; Schmidt-Kaler, F.; Uzdin, R. Detecting Heat Leaks with Trapped Ion Qubits. Phys. Rev. Lett. 2022, 128, 110601. [CrossRef] [PubMed]23. Wu, X.; Liang, X.; Tian, Y.; Yang, F.; Chen, C.; Liu, Y.C.; Tey, M.K.; You, L. A concise review of Rydberg atom based quantum computation and quantum simulation. Chin. Phys. B 2021, 30, 020305. [CrossRef]24. Abdelhafez, M.; Baker, B.; Gyenis, A.; Mundada, P.; Houck, A.A.; Schuster, D.; Koch, J. Universal gates for protected superconducting qubits using optimal control. Phys. Rev. A 2020, 101, 022321. [CrossRef]25. Giorgi, G.L.; Campbell, S. Correlation approach to work extraction from finite quantum systems. J. Phys. B At. Mol. Opt. Phys. 2015, 48, 035501. [CrossRef]26. Perarnau-Llobet, M.; Hovhannisyan, K.V.; Huber, M.; Skrzypczyk, P.; Tura, J.; Acín, A. Most energetic passive states. Phys. Rev. E 2015, 92, 042147. [CrossRef]27. Shaghaghi, V.; Singh, V.; Benenti, G.; Rosa, D. Micromasers as quantum batteries. Quantum Sci. Technol. 2022, 7, 04LT01. [CrossRef]28. Miller, H.J.D.; Scandi, M.; Anders, J.; Perarnau-Llobet, M. Work Fluctuations in Slow Processes: Quantum Signatures and Optimal Control. Phys. Rev. Lett. 2019, 123, 230603. [CrossRef]29. Scandi, M.; Miller, H.J.D.; Anders, J.; Perarnau-Llobet, M. Quantum work statistics close to equilibrium. Phys. Rev. Res. 2020, 2, 023377. 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[CrossRef]Quantum batteryQuantum thermodynamicsErgotropyQuantum computationQuantum protocolsBatería cuánticaTermodinámica cuánticaErgotropíaComputación cuánticaProtocolos cuánticosComunidad generalPublication540aafb8-df1e-4c14-9f67-021b1acf2310virtual::6198-1540aafb8-df1e-4c14-9f67-021b1acf2310virtual::6198-10000-0001-7894-9206virtual::6198-1https://scienti.colciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0001355996virtual::6198-1ORIGINALHarnessing_Nth_root_gates_for_energy_storage.pdfHarnessing_Nth_root_gates_for_energy_storage.pdfArchivo texto completo del artículo de revista, PDFapplication/pdf1168006https://red.uao.edu.co/bitstreams/76dea9c8-c311-4ccd-bba5-64ec65b2024d/downloade07f30864ea98ca9495f2a0f939021e5MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81672https://red.uao.edu.co/bitstreams/625a4bf8-0bb7-461c-b802-e163c30f477d/download6987b791264a2b5525252450f99b10d1MD52TEXTHarnessing_Nth_root_gates_for_energy_storage.pdf.txtHarnessing_Nth_root_gates_for_energy_storage.pdf.txtExtracted texttext/plain56648https://red.uao.edu.co/bitstreams/0f5012da-b7fe-44b3-90c9-32dfcf76329a/download3b4469f225bba1f5f5fc7d60c98d612aMD53THUMBNAILHarnessing_Nth_root_gates_for_energy_storage.pdf.jpgHarnessing_Nth_root_gates_for_energy_storage.pdf.jpgGenerated Thumbnailimage/jpeg15140https://red.uao.edu.co/bitstreams/ee4eb88c-e810-4461-b91e-745295610aa1/download4b7ca52c6f98432fc0e07a57b159289aMD5410614/16228oai:red.uao.edu.co:10614/162282025-07-31 03:01:37.484https://creativecommons.org/licenses/by-nc-nd/4.0/Derechos reservados - MDPI, 2024open.accesshttps://red.uao.edu.coRepositorio Digital Universidad Autonoma de Occidenterepositorio@uao.edu.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