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Mezzadri M, Chiesa A, Lepori L, Carretta S. Fault-tolerant computing with single-qudit encoding in a molecular spin. MATERIALS HORIZONS 2024. [PMID: 39051507 DOI: 10.1039/d4mh00454j] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 07/27/2024]
Abstract
We show that molecular spins represent ideal materials to realize a fault-tolerant quantum computer, in which all quantum operations include protection against leading (dephasing) errors. This is achieved by pursuing a qudit approach, in which logical error-corrected qubits are encoded in a single multi-level molecule (a qudit) and not in a large collection of two-level systems, as in standard codes. By preventing such an explosion of resources, this emerging way of thinking about quantum error correction makes its actual implementation using molecular spins much closer. We show how to perform all quantum computing operations (logical gates, corrections and measurements) without propagating errors. We achieve a quasi-exponential error correction with only linear qudit size growth, i.e. a higher efficiency than the standard approach based on stabilizer codes and concatenation.
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Affiliation(s)
- Matteo Mezzadri
- Università di Parma, Dipartimento di Scienze Matematiche, Fisiche e Informatiche, I-43124 Parma, Italy.
- Gruppo Collegato di Parma, INFN-Sezione Milano-Bicocca, I-43124 Parma, Italy
| | - Alessandro Chiesa
- Università di Parma, Dipartimento di Scienze Matematiche, Fisiche e Informatiche, I-43124 Parma, Italy.
- Gruppo Collegato di Parma, INFN-Sezione Milano-Bicocca, I-43124 Parma, Italy
- UdR Parma, INSTM, I-43124 Parma, Italy
| | - Luca Lepori
- Università di Parma, Dipartimento di Scienze Matematiche, Fisiche e Informatiche, I-43124 Parma, Italy.
- Gruppo Collegato di Parma, INFN-Sezione Milano-Bicocca, I-43124 Parma, Italy
| | - Stefano Carretta
- Università di Parma, Dipartimento di Scienze Matematiche, Fisiche e Informatiche, I-43124 Parma, Italy.
- Gruppo Collegato di Parma, INFN-Sezione Milano-Bicocca, I-43124 Parma, Italy
- UdR Parma, INSTM, I-43124 Parma, Italy
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Scott AG, Galico DA, Bogacz I, Oyala PH, Yano J, Suturina EA, Murugesu M, Agapie T. High-Spin and Reactive Fe 13 Cluster with Exposed Metal Sites. Angew Chem Int Ed Engl 2023; 62:e202313880. [PMID: 37871234 PMCID: PMC10962695 DOI: 10.1002/anie.202313880] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/17/2023] [Revised: 10/23/2023] [Accepted: 10/23/2023] [Indexed: 10/25/2023]
Abstract
Atomically defined large metal clusters have applications in new reaction development and preparation of materials with tailored properties. Expanding the synthetic toolbox for reactive high nuclearity metal complexes, we report a new class of Fe clusters, Tp*4 W4 Fe13 S12 , displaying a Fe13 core with M-M bonds that has precedent only in main group and late metal chemistry. M13 clusters with closed shell electron configurations can show significant stability and have been classified as superatoms. In contrast, Tp*4 W4 Fe13 S12 displays a large spin ground state of S=13. This compound performs small molecule activations involving the transfer of up to 12 electrons resulting in significant cluster rearrangements.
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Affiliation(s)
- Anna G. Scott
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, CA 91125 (USA)
| | - Diogo Alves Galico
- Department of Chemistry and Biomolecular Sciences, University of Ottawa, Ottawa, Ontario K1 N6 N5 (Canada)
| | - Isabel Bogacz
- Molecular Biophysics and Integrated Bioimaging Division, Lawrence Berkeley National Laboratory Berkeley, CA 94720 (USA)
| | - Paul H. Oyala
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, CA 91125 (USA)
| | - Junko Yano
- Molecular Biophysics and Integrated Bioimaging Division, Lawrence Berkeley National Laboratory Berkeley, CA 94720 (USA)
| | | | - Muralee Murugesu
- Department of Chemistry and Biomolecular Sciences, University of Ottawa, Ottawa, Ontario K1 N6 N5 (Canada)
| | - Theodor Agapie
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, CA 91125 (USA)
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Titi A, Touzani R, Moliterni A, Giacobbe C, Baldassarre F, Taleb M, Al-Zaqri N, Zarrouk A, Warad I. Ultrasonic Clusterization Process to Prepare [(NNCO) 6Co 4Cl 2] as a Novel Double-Open-Co 4O 6 Cubane Cluster: SXRD Interactions, DFT, Physicochemical, Thermal Behaviors, and Biomimicking of Catecholase Activity. ACS OMEGA 2022; 7:32949-32958. [PMID: 36157745 PMCID: PMC9494679 DOI: 10.1021/acsomega.1c07032] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Indexed: 06/16/2023]
Abstract
A novel double-open-cubane (NNCO)6Co4Cl2 cluster with a Co4O6 core was made available under aqua-ultrasonic open atmosphere conditions for the first time. The ultrasonic clusterization of the (3,5-dimethyl-1H-pyrazol-1-yl)methanol (NNCOH) ligand with CoCl2·6H2O salts in ethanol yielded a high-purity and high-yield cluster product. Energy-dispersive X-ray (EDX), Fourier transform infrared (FT-IR), and ultraviolet (UV)-visible techniques were used to elucidate the clusterization process. The double-open-Co4O6 cubane structure of the (NNCO)6Co4Cl2 cluster was solved by synchrotron single-crystal X-ray diffraction (SXRD) and supported by density functional theory (DFT) optimization and thermogravimetric/differential TG (TG/DTG) measurements; moreover, the DFT structural parameters correlated with the ones determined by SXRD. Molecular electrostatic potential (MEP), Mulliken atomic charge/natural population analysis (MAC/NPA), highest occupied molecular orbital/lowest unoccupied molecular orbital (HOMO/LUMO), density of states (DOS), and GRD quantum analyses were computed at the DFT/B3LYP/6-311G(d,p) theory level. The thermal behavior of the cluster was characterized to support the formation of the Co4O6 core as a stable final product. The catalytic property of the (NNCO)6Co4Cl2 cluster was predestined for the oxidation process of 3,5-DTBC diol (3,5-di-tert-butylbenzene-1,2-diol) to 3,5-DTBQ dione (3,5-di-tert-butylcyclohexa-3,5-diene-1,2-dione).
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Affiliation(s)
- Abderrahim Titi
- Laboratory
of Applied and Environmental Chemistry, Mohammed First University, Oujda60000, Morocco
| | - Rachid Touzani
- Laboratory
of Applied and Environmental Chemistry, Mohammed First University, Oujda60000, Morocco
| | - Anna Moliterni
- Institute
of Crystallography, CNR, Via Amendola, 122/O, Bari70126, Italy
| | - Carlotta Giacobbe
- European
Synchrotron Radiation Facility, 71 Avenue Des Martyrs, Grenoble38040, France
| | | | - Mustapha Taleb
- Laboratory
of Engineering, Organometallic, Molecular and Environment (LIMOME),
Faculty of Science, Université Sidi
Mohamed Ben Abdellah, Fez30000, Morocco
| | - Nabil Al-Zaqri
- Department
of Chemistry, College of Science, King Saud
University, P.O. Box 2455, Riyadh11451, Saudi Arabia
| | - Abdelkader Zarrouk
- Laboratory
of Materials, Nanotechnology, and Environment, Faculty of Sciences, Mohammed V University in Rabat, P.O. Box 1014, Agdal-Rabat11000, Morocco
| | - Ismail Warad
- Department
of Chemistry, AN-Najah National University, P.O. Box 7, Nablus P400, Palestine
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Yin JJ, Lu TQ, Chen C, Shi HY, Zhuang GL, Zheng J, Fang X, Zheng XY. A new family of decanuclear Ln 7Cr 3 clusters exhibiting a magnetocaloric effect. RSC Adv 2021; 11:17346-17351. [PMID: 35479672 PMCID: PMC9033162 DOI: 10.1039/d1ra02734d] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/08/2021] [Accepted: 05/05/2021] [Indexed: 01/16/2023] Open
Abstract
Two dimeric Ln–Cr clusters with formula {Ln(H2O)8[Ln6Cr3(L)6(CH3COO)6(μ3-OH)12(H2O)12]}·(ClO4)6·xH2O (Ln = Gd, x = 35 for 1 and Ln = Dy, x = 45 for 2, HL = 2-pyrazinecarboxylic acid) were obtained by a ligand-controlled hydrolytic method with a mixed ligand system (2-pyrazinecarboxylic acid and acetate). Single crystal structure analysis showed that two trigonal bipyramids of [Gd3Cr2(μ3-OH)6]9+ worked as building blocks in constructing the metal-oxo cluster core of [Gd6Cr3(μ3-OH)12]15+ by sharing a common top – a Cr3+ ion. Additionally, compound 1 forms a three-dimensional framework with a one-dimensional nanopore channel along the a-axis through a hydrogen-bond interaction between the cationic cluster core and the free mononuclear cation [Gd(H2O)8]3+ and the π-bond interactions of the pyrazine groups on the two cationic cluster cores. Magnetic calculations indicated a weak ferromagnetic coupling interaction for Gd⋯Gd and Gd⋯Cr in compound 1, with its magnetic entropy change (−ΔSm) reaching 21.1 J kg−1 K−1 at 5 K, 7 T, while compound 2 displayed an obvious frequency-dependency at Hdc = 2000 Oe. Two decanuclear Ln–Cr clusters Ln7Cr3 were obtained, which formed a three-dimensional framework with one-dimensional nanopore channel through hydrogen-bond and π-bond interactions. Gd7Cr3 had a magnetic entropy change of 21.1 J kg−1 K−1 at 5 K, 7 T.![]()
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Affiliation(s)
- Jia-Jia Yin
- Institutes of Physical Science and Information Technology, Key Laboratory of Structure and Functional Regulation of Hybrid Materials of Ministry of Education, Photoelectric Conversion Energy Materials and Devices Key Laboratory of Anhui Province, Anhui University Hefei 230601 China
| | - Tian-Qi Lu
- Institutes of Physical Science and Information Technology, Key Laboratory of Structure and Functional Regulation of Hybrid Materials of Ministry of Education, Photoelectric Conversion Energy Materials and Devices Key Laboratory of Anhui Province, Anhui University Hefei 230601 China
| | - Cheng Chen
- Institutes of Physical Science and Information Technology, Key Laboratory of Structure and Functional Regulation of Hybrid Materials of Ministry of Education, Photoelectric Conversion Energy Materials and Devices Key Laboratory of Anhui Province, Anhui University Hefei 230601 China
| | - Hai-Yan Shi
- State Key Laboratory of Physical Chemistry of Solid Surfaces, Department of Chemistry, College of Chemistry and Chemical Engineering, Xiamen University Xiamen 361005 China
| | - Gui-Lin Zhuang
- College of Chemical Engineering, Zhejiang University of Technology Hangzhou 310032 China
| | - Jun Zheng
- Institutes of Physical Science and Information Technology, Key Laboratory of Structure and Functional Regulation of Hybrid Materials of Ministry of Education, Photoelectric Conversion Energy Materials and Devices Key Laboratory of Anhui Province, Anhui University Hefei 230601 China
| | - Xiaolong Fang
- College of Materials and Chemical Engineering, Anhui Jianzhu University Hefei 230601 China
| | - Xiu-Ying Zheng
- Institutes of Physical Science and Information Technology, Key Laboratory of Structure and Functional Regulation of Hybrid Materials of Ministry of Education, Photoelectric Conversion Energy Materials and Devices Key Laboratory of Anhui Province, Anhui University Hefei 230601 China .,State Key Laboratory of Physical Chemistry of Solid Surfaces, Department of Chemistry, College of Chemistry and Chemical Engineering, Xiamen University Xiamen 361005 China
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