About my research
Why is Quantum Theory (QT) the way it is? What is the origin of its peculiarities? --Having started my doctoral research with this key question, me and my supervisor realized that one needs a general framework which could capture all important aspects of any probability theory --including the classical (stochastic) mechanics and the quantum mechanics. Such a framework was called the Generalized Probability Theory (GPT), in which, one could axiomatically deduce the structure of the nonclassical theories in general, and provide a device independent approach to examine the quantum information theoretic phenomena in particular. We investigated the physical realizability of such a theory from the quantum foundational perspectives. We derived the necessary and sufficient conditions for physically realizing the statistics of non-interacting identical particles in this framework in particular. The technological impact of this foundational investigation was then evidenced by applying the results herein to the paradigms of quantum cryptography and device independent randomness.
At this juncture, one wonders, what really sets apart the quantum theory from classical theory. Now there are many candidate answers. I personally align towards the argument that the presence of entanglement, vis-a-vis, the impossibility of separately looking at the parts of the system -- is the crux of QT. With this, I began to investigate the ubiquitous occurrences of entanglement in various physical systems. Now, whereas the entanglement manifests in three aspects of a theory: in the states, in the measurements, and in the dynamics between the state's preparation and measurement, only the entanglement of states is well explored in comparison with the other two aspects. With this in background, I am currently investigating particularly the role of entanglement in quantum many-body dynamics, especially in its relationship to the phenomena of quantum chaos.