Universal non-adiabatic control of small-gap superconducting qubits

  1. Daniel L. Campbell,
  2. Yun-Pil Shim,
  3. Bharath Kannan,
  4. Roni Winik,
  5. Alexander Melville,
  6. Bethany M. Niedzielski,
  7. Jonilyn L. Yoder,
  8. Charles Tahan,
  9. Simon Gustavsson,
  10. and William D. Oliver
Resonant transverse driving of a two-level system as viewed in the rotating frame couples two degenerate states at the Rabi frequency, an amazing equivalence that emerges in quantum
mechanics. While spectacularly successful at controlling natural and artificial quantum systems, certain limitations may arise (e.g., the achievable gate speed) due to non-idealities like the counter-rotating term. Here, we explore a complementary approach to quantum control based on non-resonant, non-adiabatic driving of a longitudinal parameter in the presence of a fixed transverse coupling. We introduce a superconducting composite qubit (CQB), formed from two capacitively coupled transmon qubits, which features a small avoided crossing — smaller than the environmental temperature — between two energy levels. We control this low-frequency CQB using solely baseband pulses, non-adiabatic transitions, and coherent Landau-Zener interference to achieve fast, high-fidelity, single-qubit operations with Clifford fidelities exceeding 99.7%. We also perform coupled qubit operations between two low-frequency CQBs. This work demonstrates that universal non-adiabatic control of low-frequency qubits is feasible using solely baseband pulses.

Multi-level Quantum Noise Spectroscopy

  1. Youngkyu Sung,
  2. Antti Vepsäläinen,
  3. Jochen Braumüller,
  4. Fei Yan,
  5. Joel I-Jan Wang,
  6. Morten Kjaergaard,
  7. Roni Winik,
  8. Philip Krantz,
  9. Andreas Bengtsson,
  10. Alexander J. Melville,
  11. Bethany M. Niedzielski,
  12. Mollie E. Schwartz,
  13. David K. Kim,
  14. Jonilyn L. Yoder,
  15. Terry P. Orlando,
  16. Simon Gustavsson,
  17. and William D. Oliver
System noise identification is crucial to the engineering of robust quantum systems. Although existing quantum noise spectroscopy (QNS) protocols measure an aggregate amount of noise
affecting a quantum system, they generally cannot distinguish between the underlying processes that contribute to it. Here, we propose and experimentally validate a spin-locking-based QNS protocol that exploits the multi-level energy structure of a superconducting qubit to achieve two notable advances. First, our protocol extends the spectral range of weakly anharmonic qubit spectrometers beyond the present limitations set by their lack of strong anharmonicity. Second, the additional information gained from probing the higher-excited levels enables us to identify and distinguish contributions from different underlying noise mechanisms.

Characterizing and optimizing qubit coherence based on SQUID geometry

  1. Jochen Braumüller,
  2. Leon Ding,
  3. Antti Vepsäläinen,
  4. Youngkyu Sung,
  5. Morten Kjaergaard,
  6. Tim Menke,
  7. Roni Winik,
  8. David Kim,
  9. Bethany M. Niedzielski,
  10. Alexander Melville,
  11. Jonilyn L. Yoder,
  12. Cyrus F. Hirjibehedin,
  13. Terry P. Orlando,
  14. Simon Gustavsson,
  15. and William D. Oliver
The dominant source of decoherence in contemporary frequency-tunable superconducting qubits is 1/f flux noise. To understand its origin and find ways to minimize its impact, we systematically
study flux noise amplitudes in more than 50 flux qubits with varied SQUID geometry parameters and compare our results to a microscopic model of magnetic spin defects located at the interfaces surrounding the SQUID loops. Our data are in agreement with an extension of the previously proposed model, based on numerical simulations of the current distribution in the investigated SQUIDs. Our results and detailed model provide a guide for minimizing the flux noise susceptibility in future circuits.

Impact of ionizing radiation on superconducting qubit coherence

  1. Antti Vepsäläinen,
  2. Amir H. Karamlou,
  3. John L. Orrell,
  4. Akshunna S. Dogra,
  5. Ben Loer,
  6. Francisca Vasconcelos,
  7. David K. Kim,
  8. Alexander J. Melville,
  9. Bethany M. Niedzielski,
  10. Jonilyn L. Yoder,
  11. Simon Gustavsson,
  12. Joseph A. Formaggio,
  13. Brent A. VanDevender,
  14. and William D. Oliver
The practical viability of any qubit technology stands on long coherence times and high-fidelity operations, with the superconducting qubit modality being a leading example. However,
superconducting qubit coherence is impacted by broken Cooper pairs, referred to as quasiparticles, with a density that is empirically observed to be orders of magnitude greater than the value predicted for thermal equilibrium by the Bardeen-Cooper-Schrieffer (BCS) theory of superconductivity. Previous work has shown that infrared photons significantly increase the quasiparticle density, yet even in the best isolated systems, it still remains higher than expected, suggesting that another generation mechanism exists. In this Letter, we provide evidence that ionizing radiation from environmental radioactive materials and cosmic rays contributes to this observed difference, leading to an elevated quasiparticle density that would ultimately limit superconducting qubits of the type measured here to coherence times in the millisecond regime. We further demonstrate that introducing radiation shielding reduces the flux of ionizing radiation and positively correlates with increased coherence time. Albeit a small effect for today’s qubits, reducing or otherwise mitigating the impact of ionizing radiation will be critical for realizing fault-tolerant superconducting quantum computers.

Solid-state qubits integrated with superconducting through-silicon vias

  1. Donna-Ruth W. Yost,
  2. Mollie E. Schwartz,
  3. Justin Mallek,
  4. Danna Rosenberg,
  5. Corey Stull,
  6. Jonilyn L. Yoder,
  7. Greg Calusine,
  8. Matt Cook,
  9. Rabi Das,
  10. Alexandra L. Day,
  11. Evan B. Golden,
  12. David K. Kim,
  13. Alexander Melville,
  14. Bethany M. Niedzielski,
  15. Wayne Woods,
  16. Andrew J. Kerman,
  17. and Willam D. Oliver
As superconducting qubit circuits become more complex, addressing a large array of qubits becomes a challenging engineering problem. Dense arrays of qubits benefit from, and may require,
access via the third dimension to alleviate interconnect crowding. Through-silicon vias (TSVs) represent a promising approach to three-dimensional (3D) integration in superconducting qubit arrays — provided they are compact enough to support densely-packed qubit systems without compromising qubit performance or low-loss signal and control routing. In this work, we demonstrate the integration of superconducting, high-aspect ratio TSVs — 10 μm wide by 20 μm long by 200 μm deep — with superconducting qubits. We utilize TSVs for baseband control and high-fidelity microwave readout of qubits using a two-chip, bump-bonded architecture. We also validate the fabrication of qubits directly upon the surface of a TSV-integrated chip. These key 3D integration milestones pave the way for the control and readout of high-density superconducting qubit arrays using superconducting TSVs.

Silicon Hard-Stop Spacers for 3D Integration of Superconducting Qubits

  1. Bethany M. Niedzielski,
  2. David K. Kim,
  3. Mollie E. Schwartz,
  4. Danna Rosenberg,
  5. Greg Calusine,
  6. Rabi Das,
  7. Alexander J. Melville,
  8. Jason Plant,
  9. Livia Racz,
  10. Jonilyn L. Yoder,
  11. Donna Ruth-Yost,
  12. and William D. Oliver
As designs for superconducting qubits become more complex, 3D integration of two or more vertically bonded chips will become necessary to enable increased density and connectivity.
Precise control of the spacing between these chips is required for accurate prediction of circuit performance. In this paper, we demonstrate an improvement in the planarity of bonded superconducting qubit chips while retaining device performance by utilizing hard-stop silicon spacer posts. These silicon spacers are defined by etching several microns into a silicon substrate and are compatible with 3D-integrated qubit fabrication. This includes fabrication of Josephson junctions, superconducting air-bridge crossovers, underbump metallization and indium bumps. To qualify the integrated process, we demonstrate high-quality factor resonators on the etched surface and measure qubit coherence (T1, T2,echo > 40 {\mu}s) in the presence of silicon posts as near as 350 {\mu}m to the qubit.

Determining interface dielectric losses in superconducting coplanar waveguide resonators

  1. Wayne Woods,
  2. Greg Calusine,
  3. Alexander Melville,
  4. Arjan Sevi,
  5. Evan Golden,
  6. David K. Kim,
  7. Danna Rosenberg,
  8. Jonilyn L. Yoder,
  9. and William D. Oliver
Superconducting quantum computing architectures comprise resonators and qubits that experience energy loss due to two-level systems (TLS) in bulk and interfacial dielectrics. Understanding
these losses is critical to improving performance in superconducting circuits. In this work, we present a method for quantifying the TLS losses of different bulk and interfacial dielectrics present in superconducting coplanar waveguide (CPW) resonators. By combining statistical characterization of sets of specifically designed CPW resonators on isotropically etched silicon substrates with detailed electromagnetic modeling, we determine the separate loss contributions from individual material interfaces and bulk dielectrics. This technique for analyzing interfacial TLS losses can be used to guide targeted improvements to qubits, resonators, and their superconducting fabrication processes.

Distinguishing coherent and thermal photon noise in a circuit QED system

  1. Fei Yan,
  2. Dan Campbell,
  3. Philip Krantz,
  4. Morten Kjaergaard,
  5. David Kim,
  6. Jonilyn L. Yoder,
  7. David Hover,
  8. Adam Sears,
  9. Andrew J. Kerman,
  10. Terry P. Orlando,
  11. Simon Gustavsson,
  12. and William D. Oliver
In the cavity-QED architecture, photon number fluctuations from residual cavity photons cause qubit dephasing due to the AC Stark effect. These unwanted photons originate from a variety
of sources, such as thermal radiation, leftover measurement photons, and crosstalk. Using a capacitively-shunted flux qubit coupled to a transmission line cavity, we demonstrate a method that identifies and distinguishes coherent and thermal photons based on noise-spectral reconstruction from time-domain spin-locking relaxometry. Using these measurements, we attribute the limiting dephasing source in our system to thermal photons, rather than coherent photons. By improving the cryogenic attenuation on lines leading to the cavity, we successfully suppress residual thermal photons and achieve T1-limited spin-echo decay time. The spin-locking noise spectroscopy technique can readily be applied to other qubit modalities for identifying general asymmetric non-classical noise spectra.

Analysis and mitigation of interface losses in trenched superconducting coplanar waveguide resonators

  1. Greg Calusine,
  2. Alexander Melville,
  3. Wayne Woods,
  4. Rabindra Das,
  5. Corey Stull,
  6. Vlad Bolkhovsky,
  7. Danielle Braje,
  8. David Hover,
  9. David K. Kim,
  10. Xhovalin Miloshi,
  11. Danna Rosenberg,
  12. Arjan Sevi,
  13. Jonilyn L. Yoder,
  14. Eric A. Dauler,
  15. and William D. Oliver
Improving the performance of superconducting qubits and resonators generally results from a combination of materials and fabrication process improvements and design modifications that
reduce device sensitivity to residual losses. One instance of this approach is to use trenching into the device substrate in combination with superconductors and dielectrics with low intrinsic losses to improve quality factors and coherence times. Here we demonstrate titanium nitride coplanar waveguide resonators with mean quality factors exceeding two million and controlled trenching reaching 2.2 μm into the silicon substrate. Additionally, we measure sets of resonators with a range of sizes and trench depths and compare these results with finite-element simulations to demonstrate quantitative agreement with a model of interface dielectric loss. We then apply this analysis to determine the extent to which trenching can improve resonator performance.

Coherent coupled qubits for quantum annealing

  1. Steven J. Weber,
  2. Gabriel O. Samach,
  3. David Hover,
  4. Simon Gustavsson,
  5. David K. Kim,
  6. Danna Rosenberg,
  7. Adam P. Sears,
  8. Fei Yan,
  9. Jonilyn L. Yoder,
  10. William D. Oliver,
  11. and Andrew J. Kerman
Quantum annealing is an optimization technique which potentially leverages quantum tunneling to enhance computational performance. Existing quantum annealers use superconducting flux
qubits with short coherence times, limited primarily by the use of large persistent currents Ip. Here, we examine an alternative approach, using qubits with smaller Ip and longer coherence times. We demonstrate tunable coupling, a basic building block for quantum annealing, between two flux qubits with small (∼50 nA) persistent currents. Furthermore, we characterize qubit coherence as a function of coupler setting and investigate the effect of flux noise in the coupler loop on qubit coherence. Our results provide insight into the available design space for next-generation quantum annealers with improved coherence.