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Optimizing magnetic coupling in lumped element superconducting resonators for molecular spin qubits

Marcos Rub\'in-Osanz (Instituto de Nanociencia y Materiales de Arag\'on), Marina C. de Ory (Centro de Astrobiolog\'ia), Ignacio Gimeno (Instituto de Nanociencia y Materiales de Arag\'on), Wenzel Kersten (Atom Instituut, Technische Universitaet Wien, Vienna, Austria), Marta Mas-Torrent (Institut de Ci\`encia de Materials de Barcelona), Mar\'ia C. Pallar\'es (Instituto de Nanociencia y Materiales de Arag\'on, Laboratorio de Microscop\'ias Avanzadas), Sebasti\'an Roca-Jerat (Instituto de Nanociencia y Materiales de Arag\'on), David Rodriguez (Centro de Astrobiolog\'ia), Nerea Gonz\'alez-Prato (Institut de Ci\`encia de Materials de Barcelona), J. Alejandro de Sousa (Institut de Ci\`encia de Materials de Barcelona), Lorenzo Tesi (Institute of Physical Chemistry and Center for Integrated Quantum Science and Technology, University of Stuttgart, Stuttgart, Germany), Daniel Granados (IMDEA Nanociencia, Cantoblanco, Spain), Jaume Veciana (Institut de Ci\`encia de Materials de Barcelona), David Zueco (Instituto de Nanociencia y Materiales de Arag\'on), Anabel Lostao (Instituto de Nanociencia y Materiales de Arag\'on, Laboratorio de Microscop\'ias Avanzadas, Fundaci\'on ARAID, Zaragoza 50018, Spain), Joerg Schmiedmayer (Atom Instituut, Technische Universitaet Wien, Vienna, Austria), Inma Ratera (Institut de Ci\`encia de Materials de Barcelona), Joris van Slageren (Institute of Physical Chemistry and Center for Integrated Quantum Science and Technology, University of Stuttgart, Stuttgart, Germany), N\'uria Crivillers (Institut de Ci\`encia de Materials de Barcelona), Alicia Gomez (Centro de Astrobiolog\'ia), Fernando Luis (Instituto de Nanociencia y Materiales de Arag\'on)
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⚡ Quantum Brief
A multinational research team led by Spain’s INMA achieved record magnetic coupling between superconducting resonators and molecular spin qubits, reaching 100 kHz for single spins and over 10 MHz collectively. This breakthrough uses engineered lumped-element resonators with optimized inductor designs. The study employed PTMr organic free radicals (S=1/2, g≈2) embedded in polymer matrices, demonstrating scalable integration for quantum processors. Larger inductors maximized collective coupling, while nanoscale microwire constrictions (50 nm) boosted single-spin interactions to unprecedented levels. Experiments revealed Purcell-effect-driven spin relaxation, where strongly coupled spins decayed via photon emission. This enabled mapping single-spin coupling distributions within devices, offering new tools for quantum coherence characterization. Coherent Rabi oscillations were induced via resonant pulses, with cavity hybridization effects suppressed using Gaussian-shaped pulses. Square pulses excited sideband frequencies, highlighting spin-cavity interaction dynamics in the dispersive regime. This work establishes a scalable architecture for molecular-spin quantum processors, bridging superconducting circuits and chemical qubits. The hybrid approach could enable high-density, room-temperature-compatible quantum computing systems.
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Quantum Physics arXiv:2511.00857 (quant-ph) [Submitted on 2 Nov 2025] Title:Optimizing magnetic coupling in lumped element superconducting resonators for molecular spin qubits Authors:Marcos Rubín-Osanz (1), Marina C. de Ory (2), Ignacio Gimeno (1), Wenzel Kersten (3), Marta Mas-Torrent (4), María C. Pallarés (1 and 5), Sebastián Roca-Jerat (1), David Rodriguez (2), Nerea González-Prato (4), J. Alejandro de Sousa (4), Lorenzo Tesi (6), Daniel Granados (7), Jaume Veciana (4), David Zueco (1), Anabel Lostao (1 and 5 and 8), Joerg Schmiedmayer (3), Inma Ratera (4), Joris van Slageren (6), Núria Crivillers (4), Alicia Gomez (2), Fernando Luis (1) ((1) Instituto de Nanociencia y Materiales de Aragón (INMA), CSIC-Universidad de Zaragoza, Zaragoza, Spain, (2) Centro de Astrobiología (CSIC-INTA), Torrejón de Ardoz, Spain, (3) Atom Instituut, Technische Universitaet Wien, Vienna, Austria, (4) Institut de Ciència de Materials de Barcelona (ICMAB-CSIC), Networking Research Center on Bioengineering Biomaterials and Nanomedicine (CIBER-BBN), Bellaterra, Spain, (5) Laboratorio de Microscopías Avanzadas (LMA), Universidad de Zaragoza, Zaragoza, Spain, (6) Institute of Physical Chemistry and Center for Integrated Quantum Science and Technology, University of Stuttgart, Stuttgart, Germany, (7) IMDEA Nanociencia, Cantoblanco, Spain, (8) Fundación ARAID, Zaragoza 50018, Spain) View a PDF of the paper titled Optimizing magnetic coupling in lumped element superconducting resonators for molecular spin qubits, by Marcos Rub\'in-Osanz (1) and 48 other authors View PDF HTML (experimental) Abstract:We engineer lumped-element superconducting resonators that maximize magnetic coupling to molecular spin qubits, achieving record single-spin couplings up to 100 kHz and collective couplings exceeding 10 MHz. The resonators were made interact with PTMr organic free radicals, model spin systems with $S=1/2$ and a quasi-isotropic $g \simeq 2$, dispersed in polymer matrices. The highest collective spin-photon coupling strengths are attained with resonators having large inductors, which therefore interact with most spins in the molecular ensemble. By contrast, the coupling of each individual spin $G_{1}$ is maximized in resonators having a minimum size inductor, made of a single microwire. The same platform has been used to study spin relaxation and spin coherent dynamics in the dispersive regime, when spins are energetically detuned from the resonator. We find evidences for the Purcell effect, i.e. the photon induced relaxation of those spins that are most strongly coupled to the circuit. The rate of this process has been used to infer the distribution of single spin photon couplings in a given device. For resonators with a 50 nm wide constriction fabricated at the center of its single maximum $G_{1}$ values reach $\sim 100$ kHz. Pumping the spins with strong pulses fed through an independent transmission line induces coherent Rabi oscillations. The spin excitation then proceeds via either direct resonant processes induced by the main pulse frequency or, in the case of square-shaped pulses, via the excitation of the cavity by side frequency components. The latter process measures the cavity mode hybridization with the spins and can be eliminated by using Gaussian shaped pulses. These results establish a scalable route toward integrated molecular-spin quantum processors. Subjects: Quantum Physics (quant-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Superconductivity (cond-mat.supr-con) Cite as: arXiv:2511.00857 [quant-ph] (or arXiv:2511.00857v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2511.00857 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Fernando Luis [view email] [v1] Sun, 2 Nov 2025 08:49:03 UTC (2,748 KB) Full-text links: Access Paper: View a PDF of the paper titled Optimizing magnetic coupling in lumped element superconducting resonators for molecular spin qubits, by Marcos Rub\'in-Osanz (1) and 48 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-11 Change to browse by: cond-mat cond-mat.mes-hall cond-mat.supr-con References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... 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