Quantum channels and error correction

Faculty Member

Prof. Roy Araiza

The second postulate of quantum mechanics pertains to dynamics of closed systems, which are governed by unitaries. Though, in practice, every system interacts with an ``environment'', an external system. Quantum operations may be thought of as describing such interactions. The goal of error correction is to encode the state of your system in such a way, so that it is protected against sets of errors which may occur on said state. Thus, if error correction is to be successful, then whenever one sends a message through some noisy channel, then the receiver will be able to determine which error occurred, and decode said message.

Many exciting and new developments have occurred in quantum error correction, and our goal will be study operator quantum error correction, and its interactions with particular niches of operator algebras.

Team Meetings

Once per week. Given the larger size of the group, participants must be able to attend meetings which will occur during the first portion of the week (more than likely Monday or Tuesday)

Undergrad Prerequisites

Linear algebra, analysis, quantum mechanics and/or quantum information theory

However, the latter is only a suggestion, since we will begin with background to start the term.