No-Go Theorems

Quantum computation and information use quantum mechanical systems to efficiently perform meaningful computational and information tasks. Though quantum computation is argued to be superior over the classical computation, there are tasks that cannot be achieved in the quantum domain.

No-go theorems are statements that state operations that are impossible to achieve in the description of quantum mechanics. The impossibility of perfect cloning and the impossibility of perfect deleting are two of the no-go theorems that have become core theorems in quantum information theory. These two theorems are attributable to the fact that quantum physics' linearity prevents perfect solutions, the unknown quantum states can be cloned and deleted perfectly. In light of this, we introduced a new deletion machine and observed the non-local characteristics of them. No-go theorem led to the law of conservation of quantum information theory that the information cannot be created nor destroyed in the quantum world.

Quantum Game Theory

Game theory is a mathematical model to understand the real world situations. In quantum version of classical game theory, we try to understand quantum games through quantum operators and see how these operators can be used to describe the game dynamics of both open and closed quantum systems. Currently, we are working on the role of two-qubit entangling operators in controlling the payoffs of the players in both simultaneous and sequential games. We are also trying to address the competitive market games namely duopoly games through the perspective of quantum operators. 

We have introduced a new quantization scheme named as modified Eisert-Wilkens-Lewenstein scheme to explore a wide range of two-qubit entangling operators which is otherwise not possible using the traditional EWL and MW scheme.