M. S. Moreira

Realization of a quantum neural network using repeat-until-success circuits in a superconducting quantum processor

  1. M. S. Moreira,
  2. G. G. Guerreschi,
  3. W. Vlothuizen,
  4. J. F. Marques,
  5. J. van Straten,
  6. S. P. Premaratne,
  7. X. Zou,
  8. H. Ali,
  9. N. Muthusubramanian,
  10. C. Zachariadis,
  11. J. van Someren,
  12. M. Beekman,
  13. N. Haider,
  14. A. Bruno,
  15. C. G. Almudever,
  16. A. Y. Matsuura,
  17. and L. DiCarlo
Artificial neural networks are becoming an integral part of digital solutions to complex problems. However, employing neural networks on quantum processors faces challenges related
to the implementation of non-linear functions using quantum circuits. In this paper, we use repeat-until-success circuits enabled by real-time control-flow feedback to realize quantum neurons with non-linear activation functions. These neurons constitute elementary building blocks that can be arranged in a variety of layouts to carry out deep learning tasks quantum coherently. As an example, we construct a minimal feedforward quantum neural network capable of learning all 2-to-1-bit Boolean functions by optimization of network activation parameters within the supervised-learning paradigm. This model is shown to perform non-linear classification and effectively learns from multiple copies of a single training state consisting of the maximal superposition of all inputs.
arxiv pdf

Logical-qubit operations in an error-detecting surface code

  1. J. F. Marques,
  2. B. M. Varbanov,
  3. M. S. Moreira,
  4. H. Ali,
  5. N. Muthusubramanian,
  6. C. Zachariadis,
  7. F. Battistel,
  8. M. Beekman,
  9. N. Haider,
  10. W. Vlothuizen,
  11. A. Bruno,
  12. B. M. Terhal,
  13. and L. DiCarlo
We realize a suite of logical operations on a distance-two logical qubit stabilized using repeated error detection cycles. Logical operations include initialization into arbitrary states,
measurement in the cardinal bases of the Bloch sphere, and a universal set of single-qubit gates. For each type of operation, we observe higher performance for fault-tolerant variants over non-fault-tolerant variants, and quantify the difference through detailed characterization. In particular, we demonstrate process tomography of logical gates, using the notion of a logical Pauli transfer matrix. This integration of high-fidelity logical operations with a scalable scheme for repeated stabilization is a milestone on the road to quantum error correction with higher-distance superconducting surface codes.
arxiv pdf

High-fidelity controlled-Z gate with maximal intermediate leakage operating at the speed limit in a superconducting quantum processor

  1. V. Negîrneac,
  2. H. Ali,
  3. N. Muthusubramanian,
  4. F. Battistel,
  5. R. Sagastizabal,
  6. M. S. Moreira,
  7. J. F. Marques,
  8. W. Vlothuizen,
  9. M. Beekman,
  10. N. Haider,
  11. A. Bruno,
  12. and L. DiCarlo
We introduce the sudden variant (SNZ) of the Net Zero scheme realizing controlled-Z (CZ) gates by baseband flux control of transmon frequency. SNZ CZ gates operate at the speed limit
of transverse coupling between computational and non-computational states by maximizing intermediate leakage. The key advantage of SNZ is tuneup simplicity, owing to the regular structure of conditional phase and leakage as a function of two control parameters. We realize SNZ CZ gates in a multi-transmon processor, achieving 99.93±0.24% fidelity and 0.10±0.02% leakage. SNZ is compatible with scalable schemes for quantum error correction and adaptable to generalized conditional-phase gates useful in intermediate-scale applications.
arxiv pdf