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van de Stolpe GL, Kwiatkowski DP, Bradley CE, Randall J, Abobeih MH, Breitweiser SA, Bassett LC, Markham M, Twitchen DJ, Taminiau TH. Mapping a 50-spin-qubit network through correlated sensing. Nat Commun 2024; 15:2006. [PMID: 38443361 PMCID: PMC10914733 DOI: 10.1038/s41467-024-46075-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/09/2023] [Accepted: 02/09/2024] [Indexed: 03/07/2024] Open
Abstract
Spins associated to optically accessible solid-state defects have emerged as a versatile platform for exploring quantum simulation, quantum sensing and quantum communication. Pioneering experiments have shown the sensing, imaging, and control of multiple nuclear spins surrounding a single electron spin defect. However, the accessible size of these spin networks has been constrained by the spectral resolution of current methods. Here, we map a network of 50 coupled spins through high-resolution correlated sensing schemes, using a single nitrogen-vacancy center in diamond. We develop concatenated double-resonance sequences that identify spin-chains through the network. These chains reveal the characteristic spin frequencies and their interconnections with high spectral resolution, and can be fused together to map out the network. Our results provide new opportunities for quantum simulations by increasing the number of available spin qubits. Additionally, our methods might find applications in nano-scale imaging of complex spin systems external to the host crystal.
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Affiliation(s)
- G L van de Stolpe
- QuTech, Delft University of Technology, PO Box 5046, 2600, GA Delft, The Netherlands
- Kavli Institute of Nanoscience Delft, Delft University of Technology, PO Box 5046, 2600, GA Delft, The Netherlands
| | - D P Kwiatkowski
- QuTech, Delft University of Technology, PO Box 5046, 2600, GA Delft, The Netherlands
- Kavli Institute of Nanoscience Delft, Delft University of Technology, PO Box 5046, 2600, GA Delft, The Netherlands
| | - C E Bradley
- QuTech, Delft University of Technology, PO Box 5046, 2600, GA Delft, The Netherlands
- Kavli Institute of Nanoscience Delft, Delft University of Technology, PO Box 5046, 2600, GA Delft, The Netherlands
| | - J Randall
- QuTech, Delft University of Technology, PO Box 5046, 2600, GA Delft, The Netherlands
- Kavli Institute of Nanoscience Delft, Delft University of Technology, PO Box 5046, 2600, GA Delft, The Netherlands
| | - M H Abobeih
- QuTech, Delft University of Technology, PO Box 5046, 2600, GA Delft, The Netherlands
- Kavli Institute of Nanoscience Delft, Delft University of Technology, PO Box 5046, 2600, GA Delft, The Netherlands
| | - S A Breitweiser
- Quantum Engineering Laboratory, Department of Electrical and Systems Engineering, University of Pennsylvania, 200 South 33rd Street, Philadelphia, PA, 19104, USA
| | - L C Bassett
- Quantum Engineering Laboratory, Department of Electrical and Systems Engineering, University of Pennsylvania, 200 South 33rd Street, Philadelphia, PA, 19104, USA
| | - M Markham
- Element Six Innovation, Fermi Avenue, Harwell Oxford, Didcot, Oxfordshire, OX11 0QR, UK
| | - D J Twitchen
- Element Six Innovation, Fermi Avenue, Harwell Oxford, Didcot, Oxfordshire, OX11 0QR, UK
| | - T H Taminiau
- QuTech, Delft University of Technology, PO Box 5046, 2600, GA Delft, The Netherlands.
- Kavli Institute of Nanoscience Delft, Delft University of Technology, PO Box 5046, 2600, GA Delft, The Netherlands.
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Singh K, Bradley CE, Anand S, Ramesh V, White R, Bernien H. Mid-circuit correction of correlated phase errors using an array of spectator qubits. Science 2023:eade5337. [PMID: 37228222 DOI: 10.1126/science.ade5337] [Citation(s) in RCA: 7] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/24/2022] [Accepted: 05/15/2023] [Indexed: 05/27/2023]
Abstract
Scaling up invariably error-prone quantum processors is a formidable challenge. Although quantum error correction ultimately promises fault-tolerant operation, the required qubit overhead and error thresholds are daunting. In a complementary proposal, co-located, auxiliary 'spectator' qubits act as in-situ probes of noise, and enable real-time, coherent corrections of data qubit errors. We use an array of cesium spectator qubits to correct correlated phase errors on an array of rubidium data qubits. By combining in-sequence readout, data processing, and feed-forward operations, these correlated errors are suppressed within the execution of the quantum circuit. The protocol is broadly applicable to quantum information platforms, and establishes key tools for scaling neutral-atom quantum processors: mid-circuit readout of atom arrays, real-time processing and feed-forward, and coherent mid-circuit reloading of atomic qubits.
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Affiliation(s)
- K Singh
- Intelligence Community Postdoctoral Research Fellowship Program, Pritzker School of Molecular Engineering, University of Chicago, Chicago, IL 60637, USA
| | - C E Bradley
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, IL 60637, USA
| | - S Anand
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, IL 60637, USA
| | - V Ramesh
- Department of Physics, University of Chicago, Chicago, IL 60637, USA
| | - R White
- Department of Physics, University of Chicago, Chicago, IL 60637, USA
| | - H Bernien
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, IL 60637, USA
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Abobeih MH, Wang Y, Randall J, Loenen SJH, Bradley CE, Markham M, Twitchen DJ, Terhal BM, Taminiau TH. Fault-tolerant operation of a logical qubit in a diamond quantum processor. Nature 2022; 606:884-889. [PMID: 35512730 PMCID: PMC9242857 DOI: 10.1038/s41586-022-04819-6] [Citation(s) in RCA: 27] [Impact Index Per Article: 13.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/10/2021] [Accepted: 04/28/2022] [Indexed: 11/24/2022]
Abstract
Solid-state spin qubits is a promising platform for quantum computation and quantum networks1,2. Recent experiments have demonstrated high-quality control over multi-qubit systems3–8, elementary quantum algorithms8–11 and non-fault-tolerant error correction12–14. Large-scale systems will require using error-corrected logical qubits that are operated fault tolerantly, so that reliable computation becomes possible despite noisy operations15–18. Overcoming imperfections in this way remains an important outstanding challenge for quantum science15,19–27. Here, we demonstrate fault-tolerant operations on a logical qubit using spin qubits in diamond. Our approach is based on the five-qubit code with a recently discovered flag protocol that enables fault tolerance using a total of seven qubits28–30. We encode the logical qubit using a new protocol based on repeated multi-qubit measurements and show that it outperforms non-fault-tolerant encoding schemes. We then fault-tolerantly manipulate the logical qubit through a complete set of single-qubit Clifford gates. Finally, we demonstrate flagged stabilizer measurements with real-time processing of the outcomes. Such measurements are a primitive for fault-tolerant quantum error correction. Although future improvements in fidelity and the number of qubits will be required to suppress logical error rates below the physical error rates, our realization of fault-tolerant protocols on the logical-qubit level is a key step towards quantum information processing based on solid-state spins. By using a five-qubit error-correcting code with a recently discovered flag protocol, a logical qubit that is operated fault-tolerantly is realized based on solid-state spin qubits in diamond.
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Affiliation(s)
- M H Abobeih
- QuTech, Delft University of Technology, Delft, The Netherlands.,Kavli Institute of Nanoscience Delft, Delft University of Technology, Delft, The Netherlands
| | - Y Wang
- QuTech, Delft University of Technology, Delft, The Netherlands
| | - J Randall
- QuTech, Delft University of Technology, Delft, The Netherlands.,Kavli Institute of Nanoscience Delft, Delft University of Technology, Delft, The Netherlands
| | - S J H Loenen
- QuTech, Delft University of Technology, Delft, The Netherlands.,Kavli Institute of Nanoscience Delft, Delft University of Technology, Delft, The Netherlands
| | - C E Bradley
- QuTech, Delft University of Technology, Delft, The Netherlands.,Kavli Institute of Nanoscience Delft, Delft University of Technology, Delft, The Netherlands
| | | | | | - B M Terhal
- QuTech, Delft University of Technology, Delft, The Netherlands.,JARA Institute for Quantum Information, Forschungszentrum Juelich, Juelich, Germany
| | - T H Taminiau
- QuTech, Delft University of Technology, Delft, The Netherlands. .,Kavli Institute of Nanoscience Delft, Delft University of Technology, Delft, The Netherlands.
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Randall J, Bradley CE, van der Gronden FV, Galicia A, Abobeih MH, Markham M, Twitchen DJ, Machado F, Yao NY, Taminiau TH. Many-body-localized discrete time crystal with a programmable spin-based quantum simulator. Science 2021; 374:1474-1478. [PMID: 34735218 DOI: 10.1126/science.abk0603] [Citation(s) in RCA: 23] [Impact Index Per Article: 7.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
Abstract
[Figure: see text].
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Affiliation(s)
- J Randall
- QuTech, Delft University of Technology, PO Box 5046, 2600 GA Delft, Netherlands.,Kavli Institute of Nanoscience Delft, Delft University of Technology, P.O. Box 5046, 2600 GA Delft, Netherlands
| | - C E Bradley
- QuTech, Delft University of Technology, PO Box 5046, 2600 GA Delft, Netherlands.,Kavli Institute of Nanoscience Delft, Delft University of Technology, P.O. Box 5046, 2600 GA Delft, Netherlands
| | - F V van der Gronden
- QuTech, Delft University of Technology, PO Box 5046, 2600 GA Delft, Netherlands.,Kavli Institute of Nanoscience Delft, Delft University of Technology, P.O. Box 5046, 2600 GA Delft, Netherlands
| | - A Galicia
- QuTech, Delft University of Technology, PO Box 5046, 2600 GA Delft, Netherlands.,Kavli Institute of Nanoscience Delft, Delft University of Technology, P.O. Box 5046, 2600 GA Delft, Netherlands
| | - M H Abobeih
- QuTech, Delft University of Technology, PO Box 5046, 2600 GA Delft, Netherlands.,Kavli Institute of Nanoscience Delft, Delft University of Technology, P.O. Box 5046, 2600 GA Delft, Netherlands
| | - M Markham
- Element Six Innovation, Fermi Avenue, Harwell Oxford, Didcot, Oxfordshire OX11 0QR, UK
| | - D J Twitchen
- Element Six Innovation, Fermi Avenue, Harwell Oxford, Didcot, Oxfordshire OX11 0QR, UK
| | - F Machado
- Department of Physics, University of California, Berkeley, CA 94720, USA.,Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
| | - N Y Yao
- Department of Physics, University of California, Berkeley, CA 94720, USA.,Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
| | - T H Taminiau
- QuTech, Delft University of Technology, PO Box 5046, 2600 GA Delft, Netherlands.,Kavli Institute of Nanoscience Delft, Delft University of Technology, P.O. Box 5046, 2600 GA Delft, Netherlands
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Baier S, Bradley CE, Middelburg T, Dobrovitski VV, Taminiau TH, Hanson R. Orbital and Spin Dynamics of Single Neutrally-Charged Nitrogen-Vacancy Centers in Diamond. Phys Rev Lett 2020; 125:193601. [PMID: 33216607 DOI: 10.1103/physrevlett.125.193601] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/30/2020] [Accepted: 10/02/2020] [Indexed: 06/11/2023]
Abstract
The neutral charge state plays an important role in quantum information and sensing applications based on nitrogen-vacancy centers. However, the orbital and spin dynamics remain unexplored. Here, we use resonant excitation of single centers to directly reveal the fine structure, enabling selective addressing of spin-orbit states. Through pump-probe experiments, we find the orbital relaxation time (430 ns at 4.7 K) and measure its temperature dependence up to 11.8 K. Finally, we reveal the spin relaxation time (1.5 s) and realize projective high-fidelity single-shot readout of the spin state (≥98%).
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Affiliation(s)
- S Baier
- QuTech, Delft University of Technology, 2628 CJ Delft, Netherlands
- Kavli Institute of Nanoscience, Delft University of Technology, 2628 CJ Delft, Netherlands
| | - C E Bradley
- QuTech, Delft University of Technology, 2628 CJ Delft, Netherlands
- Kavli Institute of Nanoscience, Delft University of Technology, 2628 CJ Delft, Netherlands
| | - T Middelburg
- QuTech, Delft University of Technology, 2628 CJ Delft, Netherlands
- Kavli Institute of Nanoscience, Delft University of Technology, 2628 CJ Delft, Netherlands
| | - V V Dobrovitski
- QuTech, Delft University of Technology, 2628 CJ Delft, Netherlands
- Kavli Institute of Nanoscience, Delft University of Technology, 2628 CJ Delft, Netherlands
| | - T H Taminiau
- QuTech, Delft University of Technology, 2628 CJ Delft, Netherlands
- Kavli Institute of Nanoscience, Delft University of Technology, 2628 CJ Delft, Netherlands
| | - R Hanson
- QuTech, Delft University of Technology, 2628 CJ Delft, Netherlands
- Kavli Institute of Nanoscience, Delft University of Technology, 2628 CJ Delft, Netherlands
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Tartar HV, Bradley CE. A Comparative Study of Methods for the Determination of Hard and Total Soft Resins in the Hop. ACTA ACUST UNITED AC 2002. [DOI: 10.1021/ie50039a019] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Affiliation(s)
- M D Melamed
- Department of Biology and Biochemistry, Polytechnic of East London, UK
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Haagen-Smit AJ, Bradley CE, Fox MM. Ozone Formation in Photochemical Oxidation of Organic Substances. Rubber Chemistry and Technology 1954. [DOI: 10.5254/1.3543469] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Abstract
Abstract
The formation of ozone through photochemical oxidation of alcohols, aldehydes, ketones, acids, and hydrocarbons, such as are present in gasoline, in the presence of small quantities of nitrogen oxides has been demonstrated. Ozone production without the addition of nitrogen oxides has been observed in the photochemical oxidation of biacetyl, bibutyryl, pyruvic acid, and butyl nitrite. The ozone produced in these reactions was identified by chemical and physical methods. The ozone formation is attributed to a peroxide radical chain reaction. The release of large quantities of hydrocarbons to the air and the simultaneous presence of nitrogen oxides from combustion processes explains the relatively high ozone content, and consequent severe rubber cracking, in the Los Angeles area. These findings should be considered in planning rubber storage facilities. In view of the irritating properties of the products formed by this photochemical oxidation, both hydrocarbons and nitrogen oxides should be considered as potential irritants when they occur simultaneously in the air at low concentrations.
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Affiliation(s)
| | - C. E. Bradley
- 1California Institute of Technology, Pasadena, California
| | - M. M. Fox
- 2Los Angeles County Air Pollution Control District, Los Angeles, California
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Abstract
Abstract
A convenient rubber cracking test for ozone is described. This method serves not only as a rapid, positive means of identifying ozone in complex gas mixtures but also gives close approximation to the quantity present. Application of the method in determining ozone in heavy smog atmosphere is shown. The high ozone concentration in these tests is attributed to ozone formation under the catalytic action of nitrogen oxides and sunlight.
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Affiliation(s)
- C. E. Bradley
- 1Kerckhoff Laboratories of Biology, California Institute of Technology ,Pasadena, California
| | - A. J. Haagen-Smit
- 1Kerckhoff Laboratories of Biology, California Institute of Technology ,Pasadena, California
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Ball JM, Bradley CE. The Effect of Temperature on the Sunlight Deterioration of a Rubber Compound. Rubber Chemistry and Technology 1942. [DOI: 10.5254/1.3543150] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Abstract
Abstract
The subject of this article might be the question: “Does temperature have an effect on the deterioration of rubber in sunlight and, if so, approximately how much effect?” We are interested in any effect of temperature because rubber goods in service are frequently subjected to sunlight over a fairly wide temperature range. There are apparently very few references or comments in the literature on this subject; but we wish to look briefly at some significant experiments of the past which have to do with sunlight without regard for temperature, and then discuss a new experiment.
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Affiliation(s)
- J. M. Ball
- 1R. T. Vanderbilt Laboratory, East Norwalk, Connecticut
| | - C. E. Bradley
- 1R. T. Vanderbilt Laboratory, East Norwalk, Connecticut
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Bradley CE. A CHEMICAL STUDY OF SOME OREGON BEAVERDAM SOILS. J Am Chem Soc 1906. [DOI: 10.1021/ja01967a004] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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