Introduction to Quantum Error Correction

 

Abstract

We begin with a brief motivation on why quantum error correction is important. We give an overview of classical error correction as a foundation to understand quantum error correction. We see the three-qubit bit flip and phase flip quantum error correcting codes using stabilizer formalism. We discuss the Shor’s code which is used to correct both bit and phase flip errors. We analize the necessary and sufficient conditions for quantum error correcting codes.

 

Towards a Guage Theory of Gravity.

 

Abstract: All the known interactions have a gauge theoretical description except gravity. Light was the first gauge theory, more precisely, it is an abelian gauge theory. The other interactions, save gravity, are examples of non-abelian gauge theories. In this talk, we try to describe gravity as a non-abelian gauge theory. All interactions in the standard model have a gauge theoretic framework therefore we anticipate that such a framework will allow for the introduction of gravity into the standard model which may lead to new physics.