Executive Summary : | Bose-Einstein condensate (BEC) is a promising candidate for quantum information and computation due to its macroscopic occupation of a single quantum state. Experiments have shown potential applications, but exact theoretical approaches are needed for efficient control and manipulation. The research proposal focuses on exact models for implementing coherent quantum logic gates through traps and entanglement interactions. The study will involve solving the Gross-Pitaevskii equation and considering the time-dependent solution for nonlinear excitations for implementing various quantum logic gates. Quantum logic gates are essential building blocks of quantum circuits, and the field of quantum computing is still in its development stage. The research proposal aims to develop physical situations for quantum simulators using time-modulated Bose-Einstein Condensate under various tuneable traps, followed by high fidelity quantum gates. Qubits are encoded in bright soliton dynamics, resulting in minimal coupling to higher energy states. The work could involve two-component BECs, BECs in co-axial ring waveguides, coupled cigar-shaped Bose-Einstein Condensates, and negative absolute temperature. Gate-based quantum computation takes input qubits and performs unitary operations on them. Universal logic gates like the Hadamard and CNOT gates will be implemented, and Bell states and cat states will be prepared using these gates. An application on the quantum circuit for state preparation in a recently evolved quantum machine learning algorithm is also planned. |