Verified Certificate

Supported by the following organizations

This is to certify that Juan Carlos Benavides Brenes successfully completed and received a passing grade in CS-191x: Quantum Mechanics and Quantum Computation a course of study offered by BerkeleyX, an online learning initiative of University of California, Berkeley.

Noted by

Umesh Vazirani

Umesh Vazirani

Roger A. Strauch Professor of EECS University of California, Berkeley

About edX

edX offers interactive online classes and MOOCs from the world’s best universities, including MIT, Harvard, Berkeley, University of Texas, and many others. edX is a mission driven initiative created by founding partners Harvard and MIT.

About edX Verified Certificates

An edX Verified Certificate signifies that the learner has agreed to abide by the edX honor code and completed all of the required tasks of this course under its guidelines, as well as having their photo ID checked to verify their identity.