1 / 21

Quantum Computing CPSC 321

Quantum Computing CPSC 321. Andreas Klappenecker. Plan. T November 16: Multithreading R November 18: Quantum Computing T November 23: QC + Exam prep R November 25: Thanksgiving M November 29: Review ??? T November 30: Exam R December 02: Summary and Outlook

goldy
Download Presentation

Quantum Computing CPSC 321

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Quantum ComputingCPSC 321 Andreas Klappenecker

  2. Plan • T November 16: Multithreading • R November 18: Quantum Computing • T November 23: QC + Exam prep • R November 25: Thanksgiving • M November 29: Review ??? • T November 30: Exam • R December 02: Summary and Outlook • T December 07: move to November 29?

  3. Announcements • Today’s lecture 12:45pm-1:30pm • 12:45pm-1:15pm Basic of QC • 1:15pm-1:30pm Evaluation • Bonfire memorial dedication

  4. In Memoriam

  5. Moore’s Law Gordon Moore observed in 1965 that the number of transistors per integrated circuit seems to follow an exponential law, and he predicted that future developments will follow this trend. Remarkably, he made his observation about 4 years after the production of the first integrated circuit. The number of transistors is supposed to double every 18-24 months.

  6. The End of Moore’s Law? Sometime in 2020-2030, computations will occur at an atomic scale. We have to deal with quantum effects: • Pessimists: Noise • Optimists: New computational paradigm

  7. Quantum Bits

  8. Polarized Light

  9. Quantum Cryptography

  10. Quantum Algorithms • Searching unsorted data • Classical algorithms: linear complexity • Quantum algorithms: O(n1/2) • Factoring Integers • Classical algorithms: Exponential complexity • Quantum algorithms: Polynomial complexity

  11. Complexity Questions • Can quantum algorithms really outperform classical algorithms? • Can we solve NP-hard problems in polynomial time on a quantum computer? • Can we solve problems in NP O coNP in polynomial time on a quantum computer? • Can we solve distributed computing problems with lower message complexity?

  12. The Stern-Gerlach Experiment

  13. Quantum Bits

  14. Memory

  15. Quantum Computing in a Nutshell

  16. Operations on a Quantum Computer

  17. Example

  18. Teleportation

  19. Teleportation – It’s Simple!

  20. Background • State of a quantum computer • A complex vector of dimension 2n • |00>+|11> = (1,0,0,1) • Operations • Unitary matrices (linear operations) • Measurements • Probabilistic (amplify quantum effects) • Classical Picture • Calculate A|00> or A|11>, or both A(|00>+|11>)

  21. Conclusion • The basic model is simple • Everyone can write a simulator of a quantum computer in a very short time • The computational model is different – you need time to absorb that! • Numerous potential technologies!

More Related