Cryogenic single-port calibration for superconducting microwave resonator measurements

Wang, Haozhi; Singh, S.; McRae, C. H.; Bardin, J. C.; Lin, S-X; Messaoudi, N.; Castelli, A. R.; Rosen, Y. J.; Holland, E. T.; Pappas, D. P.; Mutus, J. Y.

doi:10.1088/2058-9565/ac070e

Cryogenic single-port calibration for superconducting microwave resonator measurements

Journal Article · Mon Jun 28 00:00:00 EDT 2021 · Quantum Science and Technology

DOI:https://doi.org/10.1088/2058-9565/ac070e· OSTI ID:1810671

^[1]; Singh, S. ^[2]; McRae, C. H. ^[3]; Bardin, J. C. ^[4]; Lin, S-X ^[3]; ^[5]; Castelli, A. R. ^[6]; Rosen, Y. J. ^[6]; Holland, E. T. ^[7]; Pappas, D. P. ^[8]; Mutus, J. Y. ^[9]

Univ. of Colorado, Boulder, CO (United States); National Inst. of Standards and Technology (NIST), Boulder, CO (United States); Univ. of Colorado, Boulder, CO (United States). JILA; Lab. for Physical Sciences, College Park, MD (United States)
Keysight Technologies, Santa Rosa, CA (United States)
Univ. of Colorado, Boulder, CO (United States); National Inst. of Standards and Technology (NIST), Boulder, CO (United States); Univ. of Colorado, Boulder, CO (United States). JILA
Google Quantum AI, Mountain View, CA (United States); Univ. of Massachusetts, Amherst, MA (United States)
Keysight Technologies, Santa Rosa, CA (United States); Univ. of Waterloo, ON (Canada). Inst. for Quantum Computing and Electrical and Computer Engineering
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Keysight Technologies Inc., Cambridge, MA (United States). Quantum R&D Center
Univ. of Colorado, Boulder, CO (United States); National Inst. of Standards and Technology (NIST), Boulder, CO (United States)
Univ. of Colorado, Boulder, CO (United States); Google Quantum AI, Mountain View, CA (United States); Rigetti Computing, Berkeley, CA (United States)

Superconducting circuit testing and materials loss characterization requires robust and reliable methods for the extraction of internal and coupling quality factors of microwave resonators. Additionally, a common method, imposed by limitations on the device design or experimental configuration, is the single-port reflection geometry, i.e. reflection-mode. However, impedance mismatches in cryogenic systems must be accounted for through calibration of the measurement chain while it is at low temperatures. In this paper, we demonstrate a data-based, single-port calibration using commercial microwave standards and a vector network analyzer with samples at millikelvin temperature in a dilution refrigerator, making this method useful for measurements of quantum phenomena. Finally, we cross reference our data-based, single-port calibration and reflection measurement with over-coupled 2D- and 3D-resonators against well established two-port techniques corroborating the validity of our method.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1810671

Report Number(s):: LLNL-JRNL--818167; 1027923

Journal Information:: Quantum Science and Technology, Journal Name: Quantum Science and Technology Journal Issue: 3 Vol. 6; ISSN 2058-9565

Publisher:: IOPscienceCopyright Statement

Country of Publication:: United States

Language:: English

References (35)

Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics Wallraff, A.; Schuster, D. I.; Blais, A. Nature, Vol. 431, Issue 7005 https://doi.org/10.1038/nature02851	journal	September 2004
Phase-preserving amplification near the quantum limit with a Josephson ring modulator Bergeal, N.; Schackert, F.; Metcalfe, M. Nature, Vol. 465, Issue 7294 https://doi.org/10.1038/nature09035	journal	May 2010
Implementing a strand of a scalable fault-tolerant quantum computing fabric Chow, Jerry M.; Gambetta, Jay M.; Magesan, Easwar Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms5015	journal	June 2014
Microwave design and characterization of a cryogenic dip probe for time-domain measurements of nanodevices Jun, M. S.; Hwang, S. W.; Jeong, D. Y. Review of Scientific Instruments, Vol. 75, Issue 7 https://doi.org/10.1063/1.1765757	journal	July 2004
Widely tunable parametric amplifier based on a superconducting quantum interference device array resonator Castellanos-Beltran, M. A.; Lehnert, K. W. Applied Physics Letters, Vol. 91, Issue 8 https://doi.org/10.1063/1.2773988	journal	August 2007
Experimental evidence for a surface distribution of two-level systems in superconducting lithographed microwave resonators Gao, Jiansong; Daal, Miguel; Vayonakis, Anastasios Applied Physics Letters, Vol. 92, Issue 15 https://doi.org/10.1063/1.2906373	journal	April 2008
Millikelvin thermal and electrical performance of lossy transmission line filters Slichter, D. H.; Naaman, O.; Siddiqi, I. Applied Physics Letters, Vol. 94, Issue 19 https://doi.org/10.1063/1.3133362	journal	May 2009
Fast reset and suppressing spontaneous emission of a superconducting qubit Reed, M. D.; Johnson, B. R.; Houck, A. A. Applied Physics Letters, Vol. 96, Issue 20 https://doi.org/10.1063/1.3435463	journal	May 2010
Study of loss in superconducting coplanar waveguide resonators Sage, Jeremy M.; Bolkhovsky, Vladimir; Oliver, William D. Journal of Applied Physics, Vol. 109, Issue 6 https://doi.org/10.1063/1.3552890	journal	March 2011
An analysis method for asymmetric resonator transmission applied to superconducting devices Khalil, M. S.; Stoutimore, M. J. A.; Wellstood, F. C. Journal of Applied Physics, Vol. 111, Issue 5 https://doi.org/10.1063/1.3692073	journal	March 2012
Planar superconducting resonators with internal quality factors above one million Megrant, A.; Neill, C.; Barends, R. Applied Physics Letters, Vol. 100, Issue 11 https://doi.org/10.1063/1.3693409	journal	March 2012
Two-port microwave calibration at millikelvin temperatures Ranzani, Leonardo; Spietz, Lafe; Popovic, Zoya Review of Scientific Instruments, Vol. 84, Issue 3 https://doi.org/10.1063/1.4794910	journal	March 2013
In situ broadband cryogenic calibration for two-port superconducting microwave resonators Yeh, Jen-Hao; Anlage, Steven M. Review of Scientific Instruments, Vol. 84, Issue 3 https://doi.org/10.1063/1.4797461	journal	March 2013
Strong environmental coupling in a Josephson parametric amplifier Mutus, J. Y.; White, T. C.; Barends, R. Applied Physics Letters, Vol. 104, Issue 26 https://doi.org/10.1063/1.4886408	journal	June 2014
Efficient and robust analysis of complex scattering data under noise in microwave resonators Probst, S.; Song, F. B.; Bushev, P. A. Review of Scientific Instruments, Vol. 86, Issue 2 https://doi.org/10.1063/1.4907935	journal	February 2015
Reducing intrinsic loss in superconducting resonators by surface treatment and deep etching of silicon substrates Bruno, A.; de Lange, G.; Asaad, S. Applied Physics Letters, Vol. 106, Issue 18 https://doi.org/10.1063/1.4919761	journal	May 2015
Broadband parametric amplification with impedance engineering: Beyond the gain-bandwidth product Roy, Tanay; Kundu, Suman; Chand, Madhavi Applied Physics Letters, Vol. 107, Issue 26 https://doi.org/10.1063/1.4939148	journal	December 2015
Dielectric loss extraction for superconducting microwave resonators McRae, C. R. H.; Lake, R. E.; Long, J. L. Applied Physics Letters, Vol. 116, Issue 19 https://doi.org/10.1063/5.0004622	journal	May 2020
High quality three-dimensional aluminum microwave cavities Kudra, M.; Biznárová, J.; Fadavi Roudsari, A. Applied Physics Letters, Vol. 117, Issue 7 https://doi.org/10.1063/5.0016463	journal	August 2020
Materials loss measurements using superconducting microwave resonators McRae, C. R. H.; Wang, H.; Gao, J. Review of Scientific Instruments, Vol. 91, Issue 9 https://doi.org/10.1063/5.0017378	journal	September 2020
Dielectric surface loss in superconducting resonators with flux-trapping holes Chiaro, B.; Megrant, A.; Dunsworth, A. Superconductor Science and Technology, Vol. 29, Issue 10 https://doi.org/10.1088/0953-2048/29/10/104006	journal	August 2016
Fabrication artifacts and parallel loss channels in metamorphic epitaxial aluminum superconducting resonators Richardson, C. J. K.; Siwak, N. P.; Hackley, J. Superconductor Science and Technology, Vol. 29, Issue 6 https://doi.org/10.1088/0953-2048/29/6/064003	journal	April 2016
Network modeling of non-ideal superconducting resonator circuits Guan, H.; Dai, M.; He, Q. Superconductor Science and Technology, Vol. 33, Issue 7 https://doi.org/10.1088/1361-6668/ab89eb	journal	May 2020
Noise and loss of superconducting aluminium resonators at single photon energies Burnett, Jonathan; Bengtsson, Andreas; Niepce, David Journal of Physics: Conference Series, Vol. 969 https://doi.org/10.1088/1742-6596/969/1/012131	journal	March 2018
Cavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation Blais, Alexandre; Huang, Ren-Shou; Wallraff, Andreas Physical Review A, Vol. 69, Issue 6 https://doi.org/10.1103/physreva.69.062320	journal	June 2004
Quantum theory of a bandpass Purcell filter for qubit readout Sete, Eyob A.; Martinis, John M.; Korotkov, Alexander N. Physical Review A, Vol. 92, Issue 1 https://doi.org/10.1103/physreva.92.012325	journal	July 2015
Mode Structure in Superconducting Metamaterial Transmission-Line Resonators Wang, H.; Zhuravel, A. P.; Indrajeet, S. Physical Review Applied, Vol. 11, Issue 5 https://doi.org/10.1103/physrevapplied.11.054062	journal	May 2019
Microwave response of vortices in superconducting thin films of Re and Al Song, C.; Heitmann, T. W.; DeFeo, M. P. Physical Review B, Vol. 79, Issue 17 https://doi.org/10.1103/physrevb.79.174512	journal	May 2009
Fast Accurate State Measurement with Superconducting Qubits Jeffrey, Evan; Sank, Daniel; Mutus, J. Y. Physical Review Letters, Vol. 112, Issue 19 https://doi.org/10.1103/physrevlett.112.190504	journal	May 2014
Frequency Comb Generation in Superconducting Resonators Erickson, R. P.; Vissers, M. R.; Sandberg, M. Physical Review Letters, Vol. 113, Issue 18 https://doi.org/10.1103/physrevlett.113.187002	journal	October 2014
Decoherence in Josephson Qubits from Dielectric Loss Martinis, John M.; Cooper, K. B.; McDermott, R. Physical Review Letters, Vol. 95, Issue 21 https://doi.org/10.1103/physrevlett.95.210503	journal	November 2005
Two Level System Loss in Superconducting Microwave Resonators Pappas, David P.; Vissers, Michael R.; Wisbey, David S. IEEE Transactions on Applied Superconductivity, Vol. 21, Issue 3 https://doi.org/10.1109/tasc.2010.2097578	journal	June 2011
Reducing Spontaneous Emission in Circuit Quantum Electrodynamics by a Combined Readout/Filter Technique Bronn, Nicholas T.; Magesan, Easwar; Masluk, Nicholas A. IEEE Transactions on Applied Superconductivity, Vol. 25, Issue 5 https://doi.org/10.1109/tasc.2015.2456109	journal	October 2015
Evaluation of Errors in Calibration Procedures for Measurements of Reflection Coefficient Bianco, Bruno; Corana, Angelo; Ridella, Sandro IEEE Transactions on Instrumentation and Measurement, Vol. 27, Issue 4 https://doi.org/10.1109/tim.1978.4314711	journal	January 1978
A Unified Theory for $S$-Parameter Uncertainty Evaluation Garelli, Marco; Ferrero, Andrea IEEE Transactions on Microwave Theory and Techniques, Vol. 60, Issue 12 https://doi.org/10.1109/tmtt.2012.2221733	journal	December 2012

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