1
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He K, Yuan M, Wong Y, Chakram S, Seif A, Jiang L, Schuster DI. Efficient multimode Wigner tomography. Nat Commun 2024; 15:4138. [PMID: 38755182 PMCID: PMC11099137 DOI: 10.1038/s41467-024-48573-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/05/2023] [Accepted: 05/07/2024] [Indexed: 05/18/2024] Open
Abstract
Advancements in quantum system lifetimes and control have enabled the creation of increasingly complex quantum states, such as those on multiple bosonic cavity modes. When characterizing these states, traditional tomography scales exponentially with the number of modes in both computational and experimental measurement requirement, which becomes prohibitive as the system size increases. Here, we implement a state reconstruction method whose sampling requirement instead scales polynomially with system size, and thus mode number, for states that can be represented within such a polynomial subspace. We demonstrate this improved scaling with Wigner tomography of multimode entangled W states of up to 4 modes on a 3D circuit quantum electrodynamics (cQED) system. This approach performs similarly in efficiency to existing matrix inversion methods for 2 modes, and demonstrates a noticeable improvement for 3 and 4 modes, with even greater theoretical gains at higher mode numbers.
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Affiliation(s)
- Kevin He
- James Franck Institute, University of Chicago, Chicago, IL, 60637, USA.
- Department of Physics, University of Chicago, Chicago, IL, 60637, USA.
| | - Ming Yuan
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, IL, 60637, USA
| | - Yat Wong
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, IL, 60637, USA
| | - Srivatsan Chakram
- Department of Physics and Astronomy, Rutgers University, Piscataway, NJ, 08854, USA
| | - Alireza Seif
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, IL, 60637, USA
| | - Liang Jiang
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, IL, 60637, USA
| | - David I Schuster
- James Franck Institute, University of Chicago, Chicago, IL, 60637, USA
- Department of Physics, University of Chicago, Chicago, IL, 60637, USA
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, IL, 60637, USA
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2
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Ganjam S, Wang Y, Lu Y, Banerjee A, Lei CU, Krayzman L, Kisslinger K, Zhou C, Li R, Jia Y, Liu M, Frunzio L, Schoelkopf RJ. Surpassing millisecond coherence in on chip superconducting quantum memories by optimizing materials and circuit design. Nat Commun 2024; 15:3687. [PMID: 38693124 PMCID: PMC11063213 DOI: 10.1038/s41467-024-47857-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/01/2023] [Accepted: 04/12/2024] [Indexed: 05/03/2024] Open
Abstract
The performance of superconducting quantum circuits for quantum computing has advanced tremendously in recent decades; however, a comprehensive understanding of relaxation mechanisms does not yet exist. In this work, we utilize a multimode approach to characterizing energy losses in superconducting quantum circuits, with the goals of predicting device performance and improving coherence through materials, process, and circuit design optimization. Using this approach, we measure significant reductions in surface and bulk dielectric losses by employing a tantalum-based materials platform and annealed sapphire substrates. With this knowledge we predict the relaxation times of aluminum- and tantalum-based transmon qubits, and find that they are consistent with experimental results. We additionally optimize device geometry to maximize coherence within a coaxial tunnel architecture, and realize on-chip quantum memories with single-photon Ramsey times of 2.0 - 2.7 ms, limited by their energy relaxation times of 1.0 - 1.4 ms. These results demonstrate an advancement towards a more modular and compact coaxial circuit architecture for bosonic qubits with reproducibly high coherence.
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Affiliation(s)
- Suhas Ganjam
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA.
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA.
| | - Yanhao Wang
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA
| | - Yao Lu
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA
| | - Archan Banerjee
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA
| | - Chan U Lei
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA
| | - Lev Krayzman
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA
| | - Kim Kisslinger
- Center for Functional Nanomaterials, Brookhaven National Laboratory, Upton, 11973, NY, USA
| | - Chenyu Zhou
- Center for Functional Nanomaterials, Brookhaven National Laboratory, Upton, 11973, NY, USA
| | - Ruoshui Li
- Center for Functional Nanomaterials, Brookhaven National Laboratory, Upton, 11973, NY, USA
| | - Yichen Jia
- Center for Functional Nanomaterials, Brookhaven National Laboratory, Upton, 11973, NY, USA
| | - Mingzhao Liu
- Center for Functional Nanomaterials, Brookhaven National Laboratory, Upton, 11973, NY, USA
| | - Luigi Frunzio
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA
| | - Robert J Schoelkopf
- Departments of Applied Physics and Physics, Yale University, New Haven, 06511, CT, USA.
- Yale Quantum Institute, Yale University, New Haven, 06511, CT, USA.
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3
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Agrawal A, Dixit AV, Roy T, Chakram S, He K, Naik RK, Schuster DI, Chou A. Stimulated Emission of Signal Photons from Dark Matter Waves. PHYSICAL REVIEW LETTERS 2024; 132:140801. [PMID: 38640371 DOI: 10.1103/physrevlett.132.140801] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/17/2023] [Accepted: 01/26/2024] [Indexed: 04/21/2024]
Abstract
The manipulation of quantum states of light has resulted in significant advancements in both dark matter searches and gravitational wave detectors. Current dark matter searches operating in the microwave frequency range use nearly quantum-limited amplifiers. Future high frequency searches will use photon counting techniques to evade the standard quantum limit. We present a signal enhancement technique that utilizes a superconducting qubit to prepare a superconducting microwave cavity in a nonclassical Fock state and stimulate the emission of a photon from a dark matter wave. By initializing the cavity in an |n=4⟩ Fock state, we demonstrate a quantum enhancement technique that increases the signal photon rate and hence also the dark matter scan rate each by a factor of 2.78. Using this technique, we conduct a dark photon search in a band around 5.965 GHz (24.67 μeV), where the kinetic mixing angle ε≥4.35×10^{-13} is excluded at the 90% confidence level.
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Affiliation(s)
- Ankur Agrawal
- James Franck Institute, University of Chicago, Chicago, Illinois 60637, USA
- Department of Physics, University of Chicago, Chicago, Illinois 60637, USA
- Kavli Institute for Cosmological Physics, University of Chicago, Chicago, Illinois 60637, USA
| | - Akash V Dixit
- James Franck Institute, University of Chicago, Chicago, Illinois 60637, USA
- Department of Physics, University of Chicago, Chicago, Illinois 60637, USA
- Kavli Institute for Cosmological Physics, University of Chicago, Chicago, Illinois 60637, USA
| | - Tanay Roy
- James Franck Institute, University of Chicago, Chicago, Illinois 60637, USA
- Department of Physics, University of Chicago, Chicago, Illinois 60637, USA
| | - Srivatsan Chakram
- James Franck Institute, University of Chicago, Chicago, Illinois 60637, USA
- Department of Physics, University of Chicago, Chicago, Illinois 60637, USA
- Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854, USA
| | - Kevin He
- James Franck Institute, University of Chicago, Chicago, Illinois 60637, USA
- Department of Physics, University of Chicago, Chicago, Illinois 60637, USA
| | - Ravi K Naik
- Computational Research Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - David I Schuster
- James Franck Institute, University of Chicago, Chicago, Illinois 60637, USA
- Department of Physics, University of Chicago, Chicago, Illinois 60637, USA
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA
- Department of Applied Physics, Stanford University, Stanford, California 94305, USA
| | - Aaron Chou
- Fermi National Accelerator Laboratory, Batavia, Illinois 60510, USA
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4
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Lentrodt D, Diekmann O, Keitel CH, Rotter S, Evers J. Certifying Multimode Light-Matter Interaction in Lossy Resonators. PHYSICAL REVIEW LETTERS 2023; 130:263602. [PMID: 37450811 DOI: 10.1103/physrevlett.130.263602] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/09/2021] [Revised: 07/21/2022] [Accepted: 05/19/2023] [Indexed: 07/18/2023]
Abstract
Quantum models based on few-mode master equations have been a central tool in the study of resonator quantum electrodynamics, extending the seminal single-mode Jaynes-Cummings model to include loss and multiple modes. Despite their broad application range, previous approaches within this framework have either relied on a Markov approximation or a fitting procedure. By combining ideas from pseudomode and quasinormal mode theory, we develop a certification criterion for multi-mode effects in lossy resonators. It is based on a witness observable, and neither requires a fitting procedure nor a Markov approximation. Using the resulting criterion, we demonstrate that such multi-mode effects are important for understanding previous experiments in x-ray cavity QED with Mössbauer nuclei and that they allow one to tune the nuclear ensemble properties.
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Affiliation(s)
- Dominik Lentrodt
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
- Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Straße 3, D-79104 Freiburg, Germany
- EUCOR Centre for Quantum Science and Quantum Computing, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Straße 3, D-79104 Freiburg, Germany
| | - Oliver Diekmann
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
- Institute for Theoretical Physics, Vienna University of Technology (TU Wien), 1040 Vienna, Austria
| | - Christoph H Keitel
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
| | - Stefan Rotter
- Institute for Theoretical Physics, Vienna University of Technology (TU Wien), 1040 Vienna, Austria
| | - Jörg Evers
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
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5
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Delaney RD, Urmey MD, Mittal S, Brubaker BM, Kindem JM, Burns PS, Regal CA, Lehnert KW. Superconducting-qubit readout via low-backaction electro-optic transduction. Nature 2022; 606:489-493. [PMID: 35705821 DOI: 10.1038/s41586-022-04720-2] [Citation(s) in RCA: 9] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/20/2021] [Accepted: 04/04/2022] [Indexed: 11/09/2022]
Abstract
Entangling microwave-frequency superconducting quantum processors through optical light at ambient temperature would enable means of secure communication and distributed quantum information processing1. However, transducing quantum signals between these disparate regimes of the electro-magnetic spectrum remains an outstanding goal2-9, and interfacing superconducting qubits, which are constrained to operate at millikelvin temperatures, with electro-optic transducers presents considerable challenges owing to the deleterious effects of optical photons on superconductors9,10. Moreover, many remote entanglement protocols11-14 require multiple qubit gates both preceding and following the upconversion of the quantum state, and thus an ideal transducer should impart minimal backaction15 on the qubit. Here we demonstrate readout of a superconducting transmon qubit through a low-backaction electro-optomechanical transducer. The modular nature of the transducer and circuit quantum electrodynamics system used in this work enable complete isolation of the qubit from optical photons, and the backaction on the qubit from the transducer is less than that imparted by thermal radiation from the environment. Moderate improvements in the transducer bandwidth and the added noise will enable us to leverage the full suite of tools available in circuit quantum electrodynamics to demonstrate transduction of non-classical signals from a superconducting qubit to the optical domain.
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Affiliation(s)
- R D Delaney
- JILA, National Institute of Standards and Technology and the University of Colorado, Boulder, CO, USA. .,Department of Physics, University of Colorado, Boulder, CO, USA.
| | - M D Urmey
- JILA, National Institute of Standards and Technology and the University of Colorado, Boulder, CO, USA.,Department of Physics, University of Colorado, Boulder, CO, USA
| | - S Mittal
- JILA, National Institute of Standards and Technology and the University of Colorado, Boulder, CO, USA.,Department of Physics, University of Colorado, Boulder, CO, USA
| | - B M Brubaker
- JILA, National Institute of Standards and Technology and the University of Colorado, Boulder, CO, USA.,Department of Physics, University of Colorado, Boulder, CO, USA
| | - J M Kindem
- JILA, National Institute of Standards and Technology and the University of Colorado, Boulder, CO, USA.,Department of Physics, University of Colorado, Boulder, CO, USA
| | - P S Burns
- JILA, National Institute of Standards and Technology and the University of Colorado, Boulder, CO, USA.,Department of Physics, University of Colorado, Boulder, CO, USA
| | - C A Regal
- JILA, National Institute of Standards and Technology and the University of Colorado, Boulder, CO, USA.,Department of Physics, University of Colorado, Boulder, CO, USA
| | - K W Lehnert
- JILA, National Institute of Standards and Technology and the University of Colorado, Boulder, CO, USA.,Department of Physics, University of Colorado, Boulder, CO, USA.,National Institute of Standards and Technology, Boulder, CO, USA
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6
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Long DM, Crowley PJD, Kollár AJ, Chandran A. Boosting the Quantum State of a Cavity with Floquet Driving. PHYSICAL REVIEW LETTERS 2022; 128:183602. [PMID: 35594101 DOI: 10.1103/physrevlett.128.183602] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/07/2021] [Revised: 03/06/2022] [Accepted: 04/15/2022] [Indexed: 06/15/2023]
Abstract
The striking nonlinear effects exhibited by cavity QED systems make them a powerful tool in modern condensed matter and atomic physics. A recently discovered example is the quantized pumping of energy into a cavity by a strongly coupled, periodically driven spin. We uncover a remarkable feature of these energy pumps: they coherently translate, or boost, a quantum state of the cavity in the Fock basis. Current optical cavity and circuit QED experiments can realize the required Hamiltonian in a rotating frame. Boosting thus enables the preparation of highly excited nonclassical cavity states in near-term experiments.
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Affiliation(s)
- David M Long
- Department of Physics, Boston University, Boston, Massachusetts 02215, USA
| | - Philip J D Crowley
- Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - Alicia J Kollár
- Joint Quantum Institute, University of Maryland, College Park, Maryland 20742, USA
| | - Anushya Chandran
- Department of Physics, Boston University, Boston, Massachusetts 02215, USA
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