Quantum Algorithmic Breakeven: on Scaling Up with Noisy Qubits

By Daniel Lidar

Electrical and Computer Engineering, University of Southern California, Los Angeles, CA

Published on

Abstract

As quantum computing proceeds from perfecting physical qubits towards testing logical qubits and small scale algorithms, an urgent question being confronted is how to decide that critical milestones and thresholds have been reached. Typical criteria are gates exceeding the accuracy threshold for fault tolerance, logical qubits with higher coherence than the constituent physical qubits, and logical gates with higher fidelity than the constituent physical gates. In this talk I will argue in favor of a different criterion I call "quantum algorithmic breakeven," which focuses on demonstrating an algorithmic scaling improvement in an error-corrected setting over the uncorrected setting. I will present evidence that current experiments with commercial quantum annealers have already crossed this threshold. I will also discuss our latest evidence for a “limited quantum speedup” with such devices. The lessons we have learned from experimenting with commercial devices with many noisy qubits will hopefully inform other approaches to quantum computing.

Bio

Daniel Lidar Daniel Lidar is the Viterbi Professor of Engineering at USC, and a professor of Electrical Engineering, Chemistry, and Physics. He holds a Ph.D. in physics from the Hebrew University of Jerusalem. He did his postdoctoral work at UC Berkeley. Prior to joining USC in 2005 he was a faculty member at the University of Toronto. His main research interest is quantum information processing, where he works on quantum control, quantum error correction, the theory of open quantum systems, quantum algorithms, and theoretical as well as experimental adiabatic quantum computation. He is the Director of the USC Center for Quantum Information Science and Technology, and is the co-Director (Scientific Director) of the USC-Lockheed Martin Center for Quantum Computing. Lidar is a recipient of a Sloan Research Fellowship, a Guggenheim Fellowship and is a Fellow of the AAAS, APS, and IEEE.

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Cite this work

Researchers should cite this work as follows:

  • Daniel Lidar (2019), "Quantum Algorithmic Breakeven: on Scaling Up with Noisy Qubits," https://nanohub.org/resources/31020.

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Time

Location

Burton Morgan, Room 121, Purdue University, West Lafayette, IN

Tags

Quantum Algorithmic Breakeven: on Scaling Up with Noisy Qubits
  • Quantum Algorithmic Breakeven: on scaling up with noisy qubits 1. Quantum Algorithmic Breakeven:… 0
    00:00/00:00
  • Algorithmic Scaling 2. Algorithmic Scaling 27.027027027027028
    00:00/00:00
  • Algorithmic Scaling 3. Algorithmic Scaling 95.829162495829166
    00:00/00:00
  • Algorithmic Scaling 4. Algorithmic Scaling 115.91591591591592
    00:00/00:00
  • Algorithmic Scaling 5. Algorithmic Scaling 123.8571905238572
    00:00/00:00
  • Algorithmic Scaling 6. Algorithmic Scaling 136.40306973640307
    00:00/00:00
  • Trying for speedup: D-Wave 2000Q vs simulated annealing 7. Trying for speedup: D-Wave 200… 151.7183850517184
    00:00/00:00
  • Trying for speedup: D-Wave 2000Q scaling advantage 8. Trying for speedup: D-Wave 200… 200.93426760093428
    00:00/00:00
  • D-Wave 2000Q scaling disadvantage against better classical heuristic algorithms 9. D-Wave 2000Q scaling disadvant… 292.22555889222559
    00:00/00:00
  • Why no speedup? 10. Why no speedup? 359.49282615949284
    00:00/00:00
  • Why no speedup? 11. Why no speedup? 410.57724391057724
    00:00/00:00
  • Enter Quantum Error Correction (QEC) 12. Enter Quantum Error Correction… 460.96096096096096
    00:00/00:00
  • Algorithmic Success with QEC 13. Algorithmic Success with QEC 477.1438104771438
    00:00/00:00
  • Algorithmic Breakeven with QEC 14. Algorithmic Breakeven with QEC 525.42542542542549
    00:00/00:00
  • Algorithmic breakeven with quantum annealing 15. Algorithmic breakeven with qua… 596.363029696363
    00:00/00:00
  • Brief intro to D-Wave processors 16. Brief intro to D-Wave processo… 604.03737070403736
    00:00/00:00
  • Brief intro to D-Wave processors 17. Brief intro to D-Wave processo… 720.653987320654
    00:00/00:00
  • Algorithmic breakeven with quantum annealing 18. Algorithmic breakeven with qua… 869.86986986987
    00:00/00:00
  • Algorithmic breakeven with quantum annealing 19. Algorithmic breakeven with qua… 961.1611611611612
    00:00/00:00
  • Up the ante: analog control errors 20. Up the ante: analog control er… 1057.0904237570906
    00:00/00:00
  • Time-to-solution as a function of problem size and noise 21. Time-to-solution as a function… 1197.7644310977644
    00:00/00:00
  • Time-to-solution as a function of problem size and noise 22. Time-to-solution as a function… 1249.8164831498166
    00:00/00:00
  • Time-to-solution data collapse & finite-size scaling 23. Time-to-solution data collapse… 1304.4044044044044
    00:00/00:00
  • Time-to-solution data collapse & finite-size scaling 24. Time-to-solution data collapse… 1395.4954954954956
    00:00/00:00
  • Beyond D-Wave: The IARPA Quantum Annealing Consortium 25. Beyond D-Wave: The IARPA Quant… 1445.7457457457458
    00:00/00:00
  • Quantum Algorithmic Breakeven 26. Quantum Algorithmic Breakeven 1571.4047380714048
    00:00/00:00