Traditionally the theories of computation, and information have been studied independent of the
physical theories governing the universe.
But toward the end of twentieth century many researchers began to realize that computers that exploited the principles of quantum mechanics for representing and processing information
could be more powerful than those which did not.
One important consequence of this development has been the discovery that quantum computers can solve certain problems exponentially faster than a classical computer.
However, quantum information is extremely fragile and reliable computation in the presence of noise is possible only when undergirded by fault tolerant information processing mechanisms. Thus a dominant theme of my research is to enable fault tolerant quantum computation bringing into bearing the theory of error correction to address this problem efficiently.
Quantum computers raise a host of questions which are of fundamental import to various other disciplines. Hence another goal of my research is to translate the insights emerging from the study of quantum information processing for the classical world.
Broadly, my research interests are in the fields of quantum computation and quantum information and their interplay with the fields of coding theory, algorithms, physics, and discrete mathematics. Specifically, my research centers around quantum error correction, quantum cryptography, study of mathematical structures in quantum computation, alternative models of computation and fault tolerance.