Microwave Package Design for Superconducting Quantum Processors

  1. Sihao Huang,
  2. Benjamin Lienhard,
  3. Greg Calusine,
  4. Antti Vepsäläinen,
  5. Jochen Braumüller,
  6. David K. Kim,
  7. Alexander J. Melville,
  8. Bethany M. Niedzielski,
  9. Jonilyn L. Yoder,
  10. Bharath Kannan,
  11. Terry P. Orlando,
  12. Simon Gustavsson,
  13. and William D. Oliver
Solid-state qubits with transition frequencies in the microwave regime, such as superconducting qubits, are at the forefront of quantum information processing. However, high-fidelity,
simultaneous control of superconducting qubits at even a moderate scale remains a challenge, partly due to the complexities of packaging these devices. Here, we present an approach to microwave package design focusing on material choices, signal line engineering, and spurious mode suppression. We describe design guidelines validated using simulations and measurements used to develop a 24-port microwave package. Analyzing the qubit environment reveals no spurious modes up to 11GHz. The material and geometric design choices enable the package to support qubits with lifetimes exceeding 350 {\mu}s. The microwave package design guidelines presented here address many issues relevant for near-term quantum processors.

Realization of high-fidelity CZ and ZZ-free iSWAP gates with a tunable coupler

  1. Youngkyu Sung,
  2. Leon Ding,
  3. Jochen Braumüller,
  4. Antti Vepsäläinen,
  5. Bharath Kannan,
  6. Morten Kjaergaard,
  7. Ami Greene,
  8. Gabriel O. Samach,
  9. Chris McNally,
  10. David Kim,
  11. Alexander Melville,
  12. Bethany M. Niedzielski,
  13. Mollie E. Schwartz,
  14. Jonilyn L. Yoder,
  15. Terry P. Orlando,
  16. Simon Gustavsson,
  17. and William D. Oliver
High-fidelity two-qubit gates at scale are a key requirement to realize the full promise of quantum computation and simulation. The advent and use of coupler elements to tunably control
two-qubit interactions has improved operational fidelity in many-qubit systems by reducing parasitic coupling and frequency crowding issues. However, two-qubit gate errors still limit the capability of near-term quantum applications. In particular, the existing framework for tunable couplers based on the dispersive approximation does not fully incorporate three-body multi-level dynamics, which are essential for addressing coherent leakage to the coupler and parasitic longitudinal (ZZ) interactions during two-qubit gates. Here, we present a new systematic approach that goes beyond the dispersive approximation and outlines how to optimize the coupler-control and exploit the engineered level structure of the coupler. Using this approach, we experimentally demonstrate a CZ gate with 99.76 ± 0.10 % fidelity and a ZZ-free iSWAP gate with 99.86 ± 0.32 % fidelity, which are close to their T1 limits.

Comparison of Dielectric Loss in Titanium Nitride and Aluminum Superconducting Resonators

  1. Alexander Melville,
  2. Greg Calusine,
  3. Wayne Woods,
  4. Kyle Serniak,
  5. Evan Golden,
  6. Bethany M. Niedzielski,
  7. David K. Kim,
  8. Arjan Sevi,
  9. Jonilyn L. Yoder,
  10. Eric A. Dauler,
  11. and William D. Oliver
Lossy dielectrics are a significant source of decoherence in superconducting quantum circuits. In this report, we model and compare the dielectric loss in bulk and interfacial dielectrics
in titanium nitride (TiN) and aluminum (Al) superconducting coplanar waveguide (CPW) resonators. We fabricate isotropically trenched resonators to produce a series of device geometries that accentuate a specific dielectric region’s contribution to resonator quality factor. While each dielectric region contributes significantly to loss in TiN devices, the metal-air interface dominates the loss in the Al devices. Furthermore, we evaluate the quality factor of each TiN resonator geometry with and without a post-process hydrofluoric (HF) etch, and find that it reduced losses from the substrate-air interface, thereby improving the quality factor.

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.

Generating Spatially Entangled Itinerant Photons with Waveguide Quantum Electrodynamics

  1. Bharath Kannan,
  2. Daniel Campbell,
  3. Francisca Vasconcelos,
  4. Roni Winik,
  5. David Kim,
  6. Morten Kjaergaard,
  7. Philip Krantz,
  8. Alexander Melville,
  9. Bethany M. Niedzielski,
  10. Jonilyn Yoder,
  11. Terry P. Orlando,
  12. Simon Gustavsson,
  13. and William D. Oliver
Realizing a fully connected network of quantum processors requires the ability to distribute quantum entanglement. For distant processing nodes, this can be achieved by generating,
routing, and capturing spatially entangled itinerant photons. In this work, we demonstrate deterministic generation of such photons using superconducting transmon qubits that are directly coupled to a waveguide. In particular, we generate two-photon N00N states and show that the state and spatial entanglement of the emitted photons can be tuned via the qubit frequencies. Using quadrature amplitude detection, we reconstruct the moments and correlations of the photonic modes and demonstrate state preparation fidelities of 84%. Our results provide a path towards realizing quantum communication and teleportation protocols using non-classical, spatially entangled itinerant photons.

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.