Removing leakage-induced correlated errors in superconducting quantum error correction

  1. M. McEwen,
  2. D. Kafri,
  3. Z. Chen,
  4. J. Atalaya,
  5. K. J. Satzinger,
  6. C. Quintana,
  7. P. V. Klimov,
  8. D. Sank,
  9. C. Gidney,
  10. A. G. Fowler,
  11. F. Arute,
  12. K. Arya,
  13. B. Buckley,
  14. B. Burkett,
  15. N. Bushnell,
  16. B. Chiaro,
  17. R. Collins,
  18. S.Demura,
  19. A. Dunsworth,
  20. C. Erickson,
  21. B. Foxen,
  22. M. Giustina,
  23. T. Huang,
  24. S. Hong,
  25. E. Jeffrey,
  26. S. Kim,
  27. K. Kechedzhi,
  28. F. Kostritsa,
  29. P. Laptev,
  30. A. Megrant,
  31. X. Mi,
  32. J. Mutus,
  33. O. Naaman,
  34. M. Neeley,
  35. C. Neill,
  36. M.Niu,
  37. A. Paler,
  38. N. Redd,
  39. P. Roushan,
  40. T. C. White,
  41. J. Yao,
  42. P. Yeh,
  43. A. Zalcman,
  44. Yu Chen,
  45. V. N. Smelyanskiy,
  46. John M. Martinis,
  47. H. Neven,
  48. J. Kelly,
  49. A. N. Korotkov,
  50. A. G. Petukhov,
  51. and R. Barends
Quantum computing can become scalable through error correction, but logical error rates only decrease with system size when physical errors are sufficiently uncorrelated. During computation,
unused high energy levels of the qubits can become excited, creating leakage states that are long-lived and mobile. Particularly for superconducting transmon qubits, this leakage opens a path to errors that are correlated in space and time. Here, we report a reset protocol that returns a qubit to the ground state from all relevant higher level states. We test its performance with the bit-flip stabilizer code, a simplified version of the surface code for quantum error correction. We investigate the accumulation and dynamics of leakage during error correction. Using this protocol, we find lower rates of logical errors and an improved scaling and stability of error suppression with increasing qubit number. This demonstration provides a key step on the path towards scalable quantum computing.

Diabatic gates for frequency-tunable superconducting qubits

  1. R. Barends,
  2. C. M. Quintana,
  3. A. G. Petukhov,
  4. Yu Chen,
  5. D. Kafri,
  6. K. Kechedzhi,
  7. R. Collins,
  8. O. Naaman,
  9. S. Boixo,
  10. F. Arute,
  11. K. Arya,
  12. D. Buell,
  13. B. Burkett,
  14. Z. Chen,
  15. B. Chiaro,
  16. A. Dunsworth,
  17. B. Foxen,
  18. A. Fowler,
  19. C. Gidney,
  20. M. Giustina,
  21. R. Graff,
  22. T. Huang,
  23. E. Jeffrey,
  24. J. Kelly,
  25. P. V. Klimov,
  26. F. Kostritsa,
  27. D. Landhuis,
  28. E. Lucero,
  29. M. McEwen,
  30. A. Megrant,
  31. X. Mi,
  32. J. Mutus,
  33. M. Neeley,
  34. C. Neill,
  35. E. Ostby,
  36. P. Roushan,
  37. D. Sank,
  38. K. J. Satzinger,
  39. A. Vainsencher,
  40. T. White,
  41. J. Yao,
  42. P. Yeh,
  43. A. Zalcman,
  44. H. Neven,
  45. V. N. Smelyanskiy,
  46. and John M. Martinis
We demonstrate diabatic two-qubit gates with Pauli error rates down to 4.3(2)⋅10−3 in as fast as 18 ns using frequency-tunable superconducting qubits. This is achieved by synchronizing
the entangling parameters with minima in the leakage channel. The synchronization shows a landscape in gate parameter space that agrees with model predictions and facilitates robust tune-up. We test both iSWAP-like and CPHASE gates with cross-entropy benchmarking. The presented approach can be extended to multibody operations as well.

Demonstration of nonstoquastic Hamiltonian in coupled superconducting flux qubits

  1. I. Ozfidan,
  2. C. Deng,
  3. A. Y. Smirnov,
  4. T. Lanting,
  5. R. Harris,
  6. L. Swenson,
  7. J. Whittaker,
  8. F. Altomare,
  9. M. Babcock,
  10. C. Baron,
  11. A.J. Berkley,
  12. K. Boothby,
  13. H. Christiani,
  14. P. Bunyk,
  15. C. Enderud,
  16. B. Evert,
  17. M. Hager,
  18. J. Hilton,
  19. S. Huang,
  20. E. Hoskinson,
  21. M.W. Johnson,
  22. K. Jooya,
  23. E. Ladizinsky,
  24. N. Ladizinsky,
  25. R. Li,
  26. A. MacDonald,
  27. D. Marsden,
  28. G. Marsden,
  29. T. Medina,
  30. R. Molavi,
  31. R. Neufeld,
  32. M. Nissen,
  33. M. Norouzpour,
  34. T. Oh,
  35. I. Pavlov,
  36. I. Perminov,
  37. G. Poulin-Lamarre,
  38. M. Reis,
  39. T. Prescott,
  40. C. Rich,
  41. Y. Sato,
  42. G. Sterling,
  43. N. Tsai,
  44. M. Volkmann,
  45. W. Wilkinson,
  46. J. Yao,
  47. and M.H. Amin
Quantum annealing (QA) is a heuristic algorithm for finding low-energy configurations of a system, with applications in optimization, machine learning, and quantum simulation. Up to
now, all implementations of QA have been limited to qubits coupled via a single degree of freedom. This gives rise to a stoquastic Hamiltonian that has no sign problem in quantum Monte Carlo (QMC) simulations. In this paper, we report implementation and measurements of two superconducting flux qubits coupled via two canonically conjugate degrees of freedom (charge and flux) to achieve a nonstoquastic Hamiltonian. Such coupling can enhance performance of QA processors, extend the range of quantum simulations. We perform microwave spectroscopy to extract circuit parameters and show that the charge coupling manifests itself as a YY interaction in the computational basis. We observe destructive interference in quantum coherent oscillations between the computational basis states of the two-qubit system. Finally, we show that the extracted Hamiltonian is nonstoquastic over a wide range of parameters.

A frequency and sensitivity tunable microresonator array for high-speed quantum processor readout

  1. J. D. Whittaker,
  2. L. J. Swenson,
  3. M. H. Volkmann,
  4. P. Spear,
  5. F. Altomare,
  6. A.J. Berkley,
  7. B. Bumble,
  8. P. Bunyk,
  9. P. K. Day,
  10. B. H. Eom,
  11. R. Harris,
  12. J.P. Hilton,
  13. E. Hoskinson,
  14. M.W. Johnson,
  15. A. Kleinsasser,
  16. E. Ladizinsky,
  17. T. Lanting,
  18. T. Oh,
  19. I. Perminov,
  20. E. Tolkacheva,
  21. and J. Yao
Superconducting microresonators have been successfully utilized as detection elements for a wide variety of applications. With multiplexing factors exceeding 1,000 detectors per transmission
line, they are the most scalable low-temperature detector technology demonstrated to date. For high-throughput applications, fewer detectors can be coupled to a single wire but utilize a larger per-detector bandwidth. For all existing designs, fluctuations in fabrication tolerances result in a non-uniform shift in resonance frequency and sensitivity, which ultimately limits the efficiency of band-width utilization. Here we present the design, implementation, and initial characterization of a superconducting microresonator readout integrating two tunable inductances per detector. We demonstrate that these tuning elements provide independent control of both the detector frequency and sensitivity, allowing us to maximize the transmission line bandwidth utilization. Finally we discuss the integration of these detectors in a multilayer fabrication stack for high-speed readout of the D-Wave quantum processor, highlighting the use of control and routing circuitry composed of single flux-quantum loops to minimize the number of control wires at the lowest temperature stage.