Linear Algebra and Quantum Mechanics, Dirac Notation, Hermitian Operator, Pauli Matrices, Tensor product, Hilbert space, Quantum Mechanics— Postulates, Hamiltonian operator, dual space, bracket, TwoState System, Qubit and the Bloch Sphere, Quantum Entanglement, Computation on a QuantumComputer, Quantum algorithms and computing, Quantum error correction and fault tolerance, Quantum cryptography and communications, Decoherence and open quantum systems, quantum systems: Nuclear magnetic resonance (NMR), Spin control, Superconducting qubits, Quantum optics, quantum imaging and sensing, quantum computer science, Computational Complexity and Quantum Circuits, Universal Quantum Gates, Quantum Fourier Transforms and Phase Estimation Algorithms, Shor’s Algorithmand Grover’s Search, Ensembles of Quantum States, Spin and its dynamics, Density matrices and Von Neumann entropy. .