• Length:
    9 Weeks
  • Effort:
    6–8 hours per week
  • Price:

    FREE
    Add a Verified Certificate for $49 USD

  • Institution
  • Subject:
  • Level:
    Advanced
  • Language:
    English
  • Video Transcript:
    English

Prerequisites

  • Linear algebra
  • Intermediate undergraduate quantum mechanics (e.g. MIT 8.05x)
  • One semester of introductory quantum information science (e.g. Berkeley CS191x)

About this course

Already know something about quantum mechanics, quantum bits and quantum logic gates, but want to design new quantum algorithms, and explore multi-party quantum protocols? This is the course for you!

In this advanced graduate physics course on quantum computation and quantum information, we will cover:

  • The formalism of quantum errors (density matrices, operator sum representations)
  • Quantum error correction codes (stabilizers, graph states)
  • Fault-tolerant quantum computation (normalizers, Clifford group operations, the Gottesman-Knill Theorem)
  • Models of quantum computation (teleportation, cluster, measurement-based)
  • Quantum Fourier transform-based algorithms (factoring, simulation)
  • Quantum communication (noiseless and noisy coding)
  • Quantum protocols (games, communication complexity)

Research problem ideas are presented along the journey.

Learner Testimonial

“This course is hard!”
-- Anonymous MIT graduate student

What you'll learn

  • Formalisms for describing errors in quantum states and systems
  • Quantum error correction theory
  • Fault-tolerant quantum procedure constructions
  • Models of quantum computation beyond gates
  • Structures of exponentially-fast quantum algorithms
  • Multi-party quantum communication protocols

Meet your instructors

Isaac Chuang
Professor of Electrical Engineering and Computer Science, and Professor of Physics
Massachusetts Institute of Technology

Pursue a Verified Certificate to highlight the knowledge and skills you gain $49.00

View a PDF of a sample edX certificate
  • Official and Verified

    Receive an instructor-signed certificate with the institution's logo to verify your achievement and increase your job prospects

  • Easily Shareable

    Add the certificate to your CV or resume, or post it directly on LinkedIn

  • Proven Motivator

    Give yourself an additional incentive to complete the course

  • Support our Mission

    EdX, a non-profit, relies on verified certificates to help fund free education for everyone globally