Spectator Errors in Tunable Coupling Architectures

  1. D. M. Zajac,
  2. J. Stehlik,
  3. D. L. Underwood,
  4. T. Phung,
  5. J. Blair,
  6. S. Carnevale,
  7. D. Klaus,
  8. G. A. Keefe,
  9. A. Carniol,
  10. M. Kumph,
  11. Matthias Steffen,
  12. and O. E. Dial
The addition of tunable couplers to superconducting quantum architectures offers significant advantages for scaling compared to fixed coupling approaches. In principle, tunable couplers
allow for exact cancellation of qubit-qubit coupling through the interference of two parallel coupling pathways between qubits. However, stray microwave couplings can introduce additional pathways which complicate the interference effect. Here we investigate the primary spectator induced errors of the bus below qubit (BBQ) architecture in a six qubit device. We identify the key design parameters which inhibit ideal cancellation and demonstrate that dynamic cancellation pulses can further mitigate spectator errors.

Tunable Coupling Architecture for Fixed-frequency Transmons

  1. J. Stehlik,
  2. D. M. Zajac,
  3. D. L. Underwood,
  4. T. Phung,
  5. J. Blair,
  6. S. Carnevale,
  7. D. Klaus,
  8. G. A. Keefe,
  9. A. Carniol,
  10. M. Kumph,
  11. Matthias Steffen,
  12. and O. E. Dial
Implementation of high-fidelity two-qubit operations is a key ingredient for scalable quantum error correction. In superconducting qubit architectures tunable buses have been explored
as a means to higher fidelity gates. However, these buses introduce new pathways for leakage. Here we present a modified tunable bus architecture appropriate for fixed-frequency qubits in which the adiabaticity restrictions on gate speed are reduced. We characterize this coupler on a range of two-qubit devices achieving a maximum gate fidelity of 99.85%. We further show the calibration is stable over one day.

Analytical determination of participation in superconducting coplanar architectures

  1. Conal E. Murray,
  2. Jay M. Gambetta,
  3. Douglas M. McClure,
  4. and Matthias Steffen
Superconducting qubits are sensitive to a variety of loss mechanisms which include dielectric loss from interfaces. The calculation of participation near the key interfaces of planar
designs can be accomplished through an analytical description of the electric field density based on conformal mapping. In this way, a two-dimensional approximation to coplanar waveguide and capacitor designs produces values of the participation as a function of depth from the top metallization layer as well as the volume participation within a given thickness from this surface by reducing the problem to a surface integration over the region of interest. These quantities are compared to finite element method numerical solutions, which validate the values at large distances from the coplanar metallization but diverge near the edges of the metallization features due to the singular nature of the electric fields. A simple approximation to the electric field energy at shallow depths (relative to the waveguide width) is also presented that closely replicates the numerical results based on conformal mapping. These techniques are applied to the calculation of surface participation within a transmon qubit design, where the effects due to shunting capacitors can be easily integrated with those associated with metallization comprising the local environment of the qubit junction.

Building logical qubits in a superconducting quantum computing system

  1. Jay M. Gambetta,
  2. Jerry M. Chow,
  3. and Matthias Steffen
The technological world is in the midst of a quantum computing and quantum information revolution. Since Richard Feynman’s famous „plenty of room at the bottom“ lecture,
hinting at the notion of novel devices employing quantum mechanics, the quantum information community has taken gigantic strides in understanding the potential applications of a quantum computer and laid the foundational requirements for building one. We believe that the next significant step will be to demonstrate a quantum memory, in which a system of interacting qubits stores an encoded logical qubit state longer than the incorporated parts. Here, we describe the important route towards a logical memory with superconducting qubits, employing a rotated version of the surface code. The current status of technology with regards to interconnected superconducting-qubit networks will be described and near-term areas of focus to improve devices will be identified. Overall, the progress in this exciting field has been astounding, but we are at an important turning point where it will be critical to incorporate engineering solutions with quantum architectural considerations, laying the foundation towards scalable fault-tolerant quantum computers in the near future.

Bulk and surface loss in superconducting transmon qubits

  1. Oliver Dial,
  2. Douglas T. McClure,
  3. Stefano Poletto,
  4. Jay M. Gambetta,
  5. David W. Abraham,
  6. Jerry M. Chow,
  7. and Matthias Steffen
Decoherence of superconducting transmon qubits is purported to be consistent with surface loss from two-level systems on the substrate surface. Here, we present a study of surface loss
in transmon devices, explicitly designed to have varying sensitivities to different surface loss contributors. Our experiments also encompass two particular different sapphire substrates, which reveal the onset of a yet unknown additional loss mechanism outside of surface loss for one of the substrates. Tests across different wafers and devices demonstrate substantial variation, and we emphasize the importance of testing large numbers of devices for disentangling di?erent sources of decoherence.

Characterizing a Four-Qubit Planar Lattice for Arbitrary Error Detection

  1. Jerry M. Chow,
  2. Srikanth J. Srinivasan,
  3. Easwar Magesan,
  4. A. D. Corcoles,
  5. David W. Abraham,
  6. Jay M. Gambetta,
  7. and Matthias Steffen
Quantum error correction will be a necessary component towards realizing scalable quantum computers with physical qubits. Theoretically, it is possible to perform arbitrarily long computations
if the error rate is below a threshold value. The two-dimensional surface code permits relatively high fault-tolerant thresholds at the ~1% level, and only requires a latticed network of qubits with nearest-neighbor interactions. Superconducting qubits have continued to steadily improve in coherence, gate, and readout fidelities, to become a leading candidate for implementation into larger quantum networks. Here we describe characterization experiments and calibration of a system of four superconducting qubits arranged in a planar lattice, amenable to the surface code. Insights into the particular qubit design and comparison between simulated parameters and experimentally determined parameters are given. Single- and two-qubit gate tune-up procedures are described and results for simultaneously benchmarking pairs of two-qubit gates are given. All controls are eventually used for an arbitrary error detection protocol described in separate work [Corcoles et al., Nature Communications, 6, 2015]

Reducing Spontaneous Emission in Circuit Quantum Electrodynamics by a Combined Readout/Filter Technique

  1. Nicholas T. Bronn,
  2. Easwar Magesan,
  3. Nicholas A. Masluk,
  4. Jerry M. Chow,
  5. Jay M. Gambetta,
  6. and Matthias Steffen
Physical implementations of qubits can be extremely sensitive to environmental coupling, which can result in decoherence. While efforts are made for protection, coupling to the environment
is necessary to measure and manipulate the state of the qubit. As such, the goal of having long qubit energy relaxation times is in competition with that of achieving high-fidelity qubit control and measurement. Here we propose a method that integrates filtering techniques for preserving superconducting qubit lifetimes together with the dispersive coupling of the qubit to a microwave resonator for control and measurement. The result is a compact circuit that protects qubits from spontaneous loss to the environment, while also retaining the ability to perform fast, high-fidelity readout. Importantly, we show the device operates in a regime that is attainable with current experimental parameters and provide a specific example for superconducting qubits in circuit quantum electrodynamics.

Improved superconducting qubit coherence using titanium nitride

  1. J. Chang,
  2. M. R. Vissers,
  3. A. D. Corcoles,
  4. M. Sandberg,
  5. J. Gao,
  6. David W. Abraham,
  7. Jerry M. Chow,
  8. Jay M. Gambetta,
  9. M. B. Rothwell,
  10. G. A. Keefe,
  11. Matthias Steffen,
  12. and D. P. Pappas
We demonstrate enhanced relaxation and dephasing times of transmon qubits, up to ~ 60 mu s by fabricating the interdigitated shunting capacitors using titanium nitride (TiN). Compared
to lift-off aluminum deposited simultaneously with the Josephson junction, this represents as much as a six-fold improvement and provides evidence that previous planar transmon coherence times are limited by surface losses from two-level system (TLS) defects residing at or near interfaces. Concurrently, we observe an anomalous temperature dependent frequency shift of TiN resonators which is inconsistent with the predicted TLS model.