Optimal coupling of Ho W10 molecular magnets to superconducting circuits near spin clock transitions

Gimeno, Ignacio; Rollano, Víctor; Zueco, David; Duan, Yan; de Ory, Marina C.; Gomez, Alicia; Gaita-Ariño, Alejandro; Sánchez-Azqueta, Carlos; Astner, Thomas; Granados, Daniel; Hill, Stephen; Majer, Johannes; Coronado, Eugenio; Luis, Fernando

doi:10.1103/physrevapplied.20.044070

Title: Optimal coupling of Ho W₁₀ molecular magnets to superconducting circuits near spin clock transitions

Journal Article · 25 October 2023 · Physical Review Applied

DOI: https://doi.org/10.1103/physrevapplied.20.044070 · OSTI ID:2305530

^[1]; Rollano, Víctor ^[2];

^[3]; Duan, Yan ^[4];

^[5];

^[5]; Gaita-Ariño, Alejandro ^[4];

^[6];

^[7];

^[8];

^[9];

^[10]; Coronado, Eugenio ^[4];

^[3]

CSIC-University of Zaragoza (Spain); Universidad de Zaragoza (Spain); National High Magnetic Field Laboratory
CSIC-University of Zaragoza (Spain); Universidad de Zaragoza (Spain); University of Science and Technology of China, Hefei (China); University of Science and Technology of China, Shanghai (China)
CSIC-University of Zaragoza (Spain); Universidad de Zaragoza (Spain)
Universidad de Valencia, Paterna (Spain)
Centro de Astrobiología (CSIC-INTA), Madrid (Spain)
Universidad de Zaragoza (Spain)
TU Wien, Vienna (Austria)
IMDEA Nanociencia, Madrid (Spain)
Florida State University, Tallahassee, FL (United States)
University of Science and Technology of China, Hefei (China); University of Science and Technology of China, Shanghai (China)

A central goal in quantum technologies is to maximize GT₂, where G stands for the coupling of a qubit to control and readout signals and T₂ is the qubit’s coherence time. Furthermore, this is challenging, as increasing G (e.g., by coupling the qubit more strongly to external stimuli) often leads to deleterious effects on T₂. Here, we study the coupling of pure and magnetically diluted crystals of Ho W₁₀ magnetic clusters to microwave superconducting coplanar waveguides. Absorption lines give a broadband picture of the magnetic energy level scheme and, in particular, confirm the existence of level anticrossings at equidistant magnetic fields determined by the combination of crystal field and hyperfine interactions. Such “spin clock transitions” are known to shield the electronic spins against magnetic field fluctuations. The analysis of the microwave transmission shows that the spin-photon coupling also becomes maximum at these transitions. The results show that engineering spin-clock states of molecular systems offers a promising strategy to combine sizable spin-photon interactions with a sufficient isolation from unwanted magnetic noise sources.

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Research Organization:: Florida State University, Tallahassee, FL (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0020260

OSTI ID:: 2305530

Journal Information:: Physical Review Applied, Journal Name: Physical Review Applied Journal Issue: 4 Vol. 20; ISSN 2331-7019

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (67)

Quantum error correction with molecular spin qudits Chizzini, Mario; Crippa, Luca; Zaccardi, Luca Physical Chemistry Chemical Physics, Vol. 24, Issue 34 https://doi.org/10.1039/D2CP01228F	journal	January 2022
Enhancing coherence in molecular spin qubits via atomic clock transitions Shiddiq, Muhandis; Komijani, Dorsa; Duan, Yan Nature, Vol. 531, Issue 7594 https://doi.org/10.1038/nature16984	journal	March 2016
Circuit quantum electrodynamics Blais, Alexandre; Grimsmo, Arne L.; Girvin, S. M. Reviews of Modern Physics, Vol. 93, Issue 2 https://doi.org/10.1103/RevModPhys.93.025005	journal	May 2021
Molecular Nanomagnets as Qubits with Embedded Quantum-Error Correction Chiesa, A.; Macaluso, E.; Petiziol, F. The Journal of Physical Chemistry Letters, Vol. 11, Issue 20 https://doi.org/10.1021/acs.jpclett.0c02213	journal	September 2020
Molecular spins for quantum information technologies Troiani, Filippo; Affronte, Marco Chemical Society Reviews, Vol. 40, Issue 6 https://doi.org/10.1039/C0CS00158A	journal	January 2011
Quantum-bath-driven decoherence of mixed spin systems Balian, S. J.; Wolfowicz, Gary; Morton, John J. L. Physical Review B, Vol. 89, Issue 4 https://doi.org/10.1103/PhysRevB.89.045403	journal	January 2014
Charge-insensitive qubit design derived from the Cooper pair box Koch, Jens; Yu, Terri M.; Gambetta, Jay Physical Review A, Vol. 76, Issue 4 https://doi.org/10.1103/PhysRevA.76.042319	journal	October 2007
Operating Quantum States in Single Magnetic Molecules: Implementation of Grover’s Quantum Algorithm Godfrin, C.; Ferhat, A.; Ballou, R. Physical Review Letters, Vol. 119, Issue 18 https://doi.org/10.1103/PhysRevLett.119.187702	journal	November 2017
Storage of Multiple Coherent Microwave Excitations in an Electron Spin Ensemble Wu, Hua; George, Richard E.; Wesenberg, Janus H. Physical Review Letters, Vol. 105, Issue 14 https://doi.org/10.1103/PhysRevLett.105.140503	journal	September 2010
Gd-Based Single-Ion Magnets with Tunable Magnetic Anisotropy: Molecular Design of Spin Qubits Martínez-Pérez, M. J.; Cardona-Serra, S.; Schlegel, C. Physical Review Letters, Vol. 108, Issue 24 https://doi.org/10.1103/PhysRevLett.108.247213	journal	June 2012
Broad-band spectroscopy of a vanadyl porphyrin: a model electronuclear spin qudit Gimeno, Ignacio; Urtizberea, Ainhoa; Román-Roche, Juan Chemical Science, Vol. 12, Issue 15 https://doi.org/10.1039/D1SC00564B	journal	January 2021
Matrix Elements and Operator Equivalents Connected with the Magnetic Properties of Rare Earth Ions Stevens, K. W. H. Proceedings of the Physical Society. Section A, Vol. 65, Issue 3 https://doi.org/10.1088/0370-1298/65/3/308	journal	March 1952
Decoherence from dipolar interspin interactions in molecular spin qubits Escalera-Moreno, Luis; Gaita-Ariño, Alejandro; Coronado, Eugenio Physical Review B, Vol. 100, Issue 6 https://doi.org/10.1103/PhysRevB.100.064405	journal	August 2019
A single-atom electron spin qubit in silicon Pla, Jarryd J.; Tan, Kuan Y.; Dehollain, Juan P. Nature, Vol. 489, Issue 7417 https://doi.org/10.1038/nature11449	journal	September 2012
Molecular spin qudits for quantum algorithms Moreno-Pineda, Eufemio; Godfrin, Clément; Balestro, Franck Chemical Society Reviews, Vol. 47, Issue 2 https://doi.org/10.1039/C5CS00933B	journal	January 2018
Heterodimetallic [LnLn′] Lanthanide Complexes: Toward a Chemical Design of Two-Qubit Molecular Spin Quantum Gates Aguilà, David; Barrios, Leoní A.; Velasco, Verónica Journal of the American Chemical Society, Vol. 136, Issue 40 https://doi.org/10.1021/ja507809w	journal	August 2014
High cooperativity coupling to nuclear spins on a circuit quantum electrodynamics architecture Rollano, Victor; de Ory, Marina C.; Buch, Christian D. Communications Physics, Vol. 5, Issue 1 https://doi.org/10.1038/s42005-022-01017-8	journal	October 2022
Coherent Manipulation of a Molecular Ln-Based Nuclear Qudit Coupled to an Electron Qubit Hussain, Riaz; Allodi, Giuseppe; Chiesa, Alessandro Journal of the American Chemical Society, Vol. 140, Issue 31 https://doi.org/10.1021/jacs.8b05934	journal	July 2018
Strong Coupling of Microwave Photons to Antiferromagnetic Fluctuations in an Organic Magnet Mergenthaler, Matthias; Liu, Junjie; Le Roy, Jennifer J. Physical Review Letters, Vol. 119, Issue 14 https://doi.org/10.1103/PhysRevLett.119.147701	journal	October 2017
Blueprint for a Molecular-Spin Quantum Processor Chiesa, A.; Roca, S.; Chicco, S. Physical Review Applied, Vol. 19, Issue 6 https://doi.org/10.1103/PhysRevApplied.19.064060	journal	June 2023
Molecular Prototypes for Spin-Based CNOT and SWAP Quantum Gates Luis, F.; Repollés, A.; Martínez-Pérez, M. J. Physical Review Letters, Vol. 107, Issue 11 https://doi.org/10.1103/PhysRevLett.107.117203	journal	September 2011
Dynamics of the dissipative two-state system Leggett, A. J.; Chakravarty, S.; Dorsey, A. T. Reviews of Modern Physics, Vol. 59, Issue 1 https://doi.org/10.1103/RevModPhys.59.1	journal	January 1987
A Porous Array of Clock Qubits Zadrozny, Joseph M.; Gallagher, Audrey T.; Harris, T. David Journal of the American Chemical Society, Vol. 139, Issue 20 https://doi.org/10.1021/jacs.7b03123	journal	May 2017
Dispersive Readout of Molecular Spin Qudits Gómez-León, Álvaro; Luis, Fernando; Zueco, David Physical Review Applied, Vol. 17, Issue 6 https://doi.org/10.1103/PhysRevApplied.17.064030	journal	June 2022
Multi-frequency EPR studies of a mononuclear holmium single-molecule magnet based on the polyoxometalate [HoIII(W5O18)2]9− Ghosh, Sanhita; Datta, Saiti; Friend, Lisa Dalton Transactions, Vol. 41, Issue 44 https://doi.org/10.1039/c2dt31674a	journal	January 2012
Molecular spins for quantum computation Gaita-Ariño, A.; Luis, F.; Hill, S. Nature Chemistry, Vol. 11, Issue 4 https://doi.org/10.1038/s41557-019-0232-y	journal	March 2019
Broadband electron spin resonance from 500 MHz to 40 GHz using superconducting coplanar waveguides Clauss, Conrad; Bothner, Daniel; Koelle, Dieter Applied Physics Letters, Vol. 102, Issue 16 https://doi.org/10.1063/1.4802956	journal	April 2013
Strong coupling of an Er 3 + -doped YAlO 3 crystal to a superconducting resonator Tkalčec, A.; Probst, S.; Rieger, D. Physical Review B, Vol. 90, Issue 7 https://doi.org/10.1103/PhysRevB.90.075112	journal	August 2014
An exchange coupled meso–meso linked vanadyl porphyrin dimer for quantum information processing Ranieri, Davide; Santanni, Fabio; Privitera, Alberto Chemical Science, Vol. 14, Issue 1 https://doi.org/10.1039/D2SC04969D	journal	January 2023
Weak and strong coupling regimes in plasmonic QED Hümmer, T.; García-Vidal, F. J.; Martín-Moreno, L. Physical Review B, Vol. 87, Issue 11 https://doi.org/10.1103/PhysRevB.87.115419	journal	March 2013
Enhancing Spin Coherence in Optically Addressable Molecular Qubits through Host-Matrix Control Bayliss, S. L.; Deb, P.; Laorenza, D. W. Physical Review X, Vol. 12, Issue 3 https://doi.org/10.1103/PhysRevX.12.031028	journal	August 2022
A dissymmetric [Gd2] coordination molecular dimer hosting six addressable spin qubits Luis, Fernando; Alonso, Pablo J.; Roubeau, Olivier Communications Chemistry, Vol. 3, Issue 1 https://doi.org/10.1038/s42004-020-00422-w	journal	November 2020
Chemical Engineering of Molecular Qubits Wedge, C. J.; Timco, G. A.; Spielberg, E. T. Physical Review Letters, Vol. 108, Issue 10 https://doi.org/10.1103/PhysRevLett.108.107204	journal	March 2012
A modular design of molecular qubits to implement universal quantum gates Ferrando-Soria, Jesús; Moreno Pineda, Eufemio; Chiesa, Alessandro Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms11377	journal	April 2016
Strong Coupling of a Spin Ensemble to a Superconducting Resonator Kubo, Y.; Ong, F. R.; Bertet, P. Physical Review Letters, Vol. 105, Issue 14 https://doi.org/10.1103/PhysRevLett.105.140502	journal	September 2010
Five-Spin Supramolecule for Simulating Quantum Decoherence of Bell States Lockyer, Selena J.; Chiesa, Alessandro; Brookfield, Adam Journal of the American Chemical Society, Vol. 144, Issue 35 https://doi.org/10.1021/jacs.2c06384	journal	August 2022
High-Cooperativity Coupling of Electron-Spin Ensembles to Superconducting Cavities Schuster, D. I.; Sears, A. P.; Ginossar, E. Physical Review Letters, Vol. 105, Issue 14 https://doi.org/10.1103/PhysRevLett.105.140501	journal	September 2010
A scalable architecture for quantum computation with molecular nanomagnets Jenkins, M. D.; Zueco, D.; Roubeau, O. Dalton Trans., Vol. 45, Issue 42 https://doi.org/10.1039/C6DT02664H	journal	January 2016
Reducing decoherence in optical and spin transitions in rare-earth-metal-ion–doped materials McAuslan, D. L.; Bartholomew, J. G.; Sellars, M. J. Physical Review A, Vol. 85, Issue 3 https://doi.org/10.1103/PhysRevA.85.032339	journal	March 2012
Input-output formalism for few-photon transport in one-dimensional nanophotonic waveguides coupled to a qubit Fan, Shanhui; Kocabaş, Şükrü Ekin; Shen, Jung-Tsung Physical Review A, Vol. 82, Issue 6 https://doi.org/10.1103/PhysRevA.82.063821	journal	December 2010
Coherently coupling distinct spin ensembles through a high- T c superconducting resonator Ghirri, A.; Bonizzoni, C.; Troiani, F. Physical Review A, Vol. 93, Issue 6 https://doi.org/10.1103/PhysRevA.93.063855	journal	June 2016
Design of magnetic coordination complexes for quantum computing Aromí, Guillem; Aguilà, David; Gamez, Patrick Chem. Soc. Rev., Vol. 41, Issue 2 https://doi.org/10.1039/C1CS15115K	journal	January 2012
Exploiting chemistry and molecular systems for quantum information science Wasielewski, Michael R.; Forbes, Malcolm D. E.; Frank, Natia L. Nature Reviews Chemistry, Vol. 4, Issue 9 https://doi.org/10.1038/s41570-020-0200-5	journal	July 2020
Making hybrid [n]-rotaxanes as supramolecular arrays of molecular electron spin qubits Fernandez, Antonio; Ferrando-Soria, Jesus; Pineda, Eufemio Moreno Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms10240	journal	January 2016
Atomic clock transitions in silicon-based spin qubits Wolfowicz, Gary; Tyryshkin, Alexei M.; George, Richard E. Nature Nanotechnology, Vol. 8, Issue 8 https://doi.org/10.1038/nnano.2013.117	journal	June 2013
Anisotropic Rare-Earth Spin Ensemble Strongly Coupled to a Superconducting Resonator Probst, S.; Rotzinger, H.; Wünsch, S. Physical Review Letters, Vol. 110, Issue 15 https://doi.org/10.1103/PhysRevLett.110.157001	journal	April 2013
Electron-nuclear decoupling at a spin clock transition Kundu, Krishnendu; Chen, Jia; Hoffman, Silas Communications Physics, Vol. 6, Issue 1 https://doi.org/10.1038/s42005-023-01152-w	journal	February 2023
Quantum Spintronics: Engineering and Manipulating Atom-Like Spins in Semiconductors Awschalom, D. D.; Bassett, L. C.; Dzurak, A. S. Science, Vol. 339, Issue 6124 https://doi.org/10.1126/science.1231364	journal	March 2013
Chemical tuning of spin clock transitions in molecular monomers based on nuclear spin-free Ni( ii ) Rubín-Osanz, Marcos; Lambert, François; Shao, Feng Chemical Science, Vol. 12, Issue 14 https://doi.org/10.1039/D0SC05856D	journal	January 2021
Mononuclear Lanthanide Single Molecule Magnets Based on the Polyoxometalates [Ln(W ₅ O ₁₈ ) ₂ ] ⁹⁻ and [Ln(β ₂ -SiW ₁₁ O ₃₉ ) ₂ ] ¹³⁻ (Ln ^III = Tb, Dy, Ho, Er, Tm, and Yb) AlDamen, Murad A.; Cardona-Serra, Salvador; Clemente-Juan, Juan M. Inorganic Chemistry, Vol. 48, Issue 8 https://doi.org/10.1021/ic801630z	journal	April 2009
Coherent coupling of molecular spins with microwave photons in planar superconducting resonators Bonizzoni, Claudio; Ghirri, Alberto; Affronte, Marco Advances in Physics: X, Vol. 3, Issue 1 https://doi.org/10.1080/23746149.2018.1435305	journal	January 2018
Decoherence-Free Subspaces for Quantum Computation Lidar, D. A.; Chuang, I. L.; Whaley, K. B. Physical Review Letters, Vol. 81, Issue 12 https://doi.org/10.1103/PhysRevLett.81.2594	journal	September 1998
Pairwise Decoherence in Coupled Spin Qubit Networks Morello, Andrea; Stamp, P. C. E.; Tupitsyn, Igor S. Physical Review Letters, Vol. 97, Issue 20 https://doi.org/10.1103/PhysRevLett.97.207206	journal	November 2006
Characterization of the hyperfine interaction in europium-doped yttrium orthosilicate and europium chloride hexahydrate Longdell, J. J.; Alexander, A. L.; Sellars, M. J. Physical Review B, Vol. 74, Issue 19 https://doi.org/10.1103/PhysRevB.74.195101	journal	November 2006
Rare-earth solid-state qubits Bertaina, S.; Gambarelli, S.; Tkachuk, A. Nature Nanotechnology, Vol. 2, Issue 1 https://doi.org/10.1038/nnano.2006.174	journal	January 2007
Full two-photon down-conversion of a single photon Sánchez-Burillo, E.; Martín-Moreno, L.; García-Ripoll, J. J. Physical Review A, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevA.94.053814	journal	November 2016
Cavity QED with Magnetically Coupled Collective Spin States Amsüss, R.; Koller, Ch.; Nöbauer, T. Physical Review Letters, Vol. 107, Issue 6 https://doi.org/10.1103/PhysRevLett.107.060502	journal	August 2011
Coherent manipulation of three-qubit states in a molecular single-ion magnet Jenkins, M. D.; Duan, Y.; Diosdado, B. Physical Review B, Vol. 95, Issue 6 https://doi.org/10.1103/PhysRevB.95.064423	journal	February 2017
The Second Quantum Revolution: Role and Challenges of Molecular Chemistry Atzori, Matteo; Sessoli, Roberta Journal of the American Chemical Society, Vol. 141, Issue 29 https://doi.org/10.1021/jacs.9b00984	journal	June 2019
Coherent coupling between Vanadyl Phthalocyanine spin ensemble and microwave photons: towards integration of molecular spin qubits into quantum circuits Bonizzoni, C.; Ghirri, A.; Atzori, M. Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/s41598-017-13271-w	journal	October 2017
A perspective on scaling up quantum computation with molecular spins Carretta, S.; Zueco, D.; Chiesa, A. Applied Physics Letters, Vol. 118, Issue 24 https://doi.org/10.1063/5.0053378	journal	June 2021
Coherent Dynamics of a Single Spin Interacting with an Adjustable Spin Bath Hanson, R.; Dobrovitski, V. V.; Feiguin, A. E. Science, Vol. 320, Issue 5874 https://doi.org/10.1126/science.1155400	journal	April 2008
A 9.2-GHz clock transition in a Lu(II) molecular spin qubit arising from a 3,467-MHz hyperfine interaction Kundu, Krishnendu; White, Jessica R. K.; Moehring, Samuel A. Nature Chemistry, Vol. 14, Issue 4 https://doi.org/10.1038/s41557-022-00894-4	journal	March 2022
A Clock Transition in the Cr7Mn Molecular Nanomagnet Collett, Charles; Ellers, Kai-Isaak; Russo, Nicholas Magnetochemistry, Vol. 5, Issue 1 https://doi.org/10.3390/magnetochemistry5010004	journal	January 2019
Coupling single-molecule magnets to quantum circuits Jenkins, Mark; Hümmer, Thomas; Martínez-Pérez, María José New Journal of Physics, Vol. 15, Issue 9 https://doi.org/10.1088/1367-2630/15/9/095007	journal	September 2013
Semiconductor spin qubits Burkard, Guido; Ladd, Thaddeus D.; Pan, Andrew Reviews of Modern Physics, Vol. 95, Issue 2 https://doi.org/10.1103/RevModPhys.95.025003	journal	June 2023
Quantum coherent spin–electric control in a molecular nanomagnet at clock transitions Liu, Junjie; Mrozek, Jakub; Ullah, Aman Nature Physics, Vol. 17, Issue 11 https://doi.org/10.1038/s41567-021-01355-4	journal	October 2021

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75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Quantum information with hybrid systems
Quantum information with solid state qubits
Qudits
Spin coherence
Molecular magnets
Superconducting devices
Electron paramagnetic resonance
Microwave techniques

Title: Optimal coupling of Ho W10 molecular magnets to superconducting circuits near spin clock transitions

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Title: Optimal coupling of Ho W₁₀ molecular magnets to superconducting circuits near spin clock transitions