Learning Objectives

This course will provide an introduction to the concepts in quantum computing and quantum sensing.

Course Content

Bloch sphere representation for qubits, Pauli matrices, Single qubit gates and rotations, Two-qubit states, Reversible and irreversible operations on classical bits, Classical CNOT, SWAP, Toffoli gates and their quantum extensions, Quantum circuits, Constructing controlled-U gates, Constructing Toffoli gates, Universal set of gates, Qubit manipulation: Rabi oscillations, Interactions and Entanglement, DiVincenzo criteria, Density operator, Quantum sensing, Ramsey magnetometry, Quantum projection noise, Quantum metrology, Limits to the measurement: standard quantum limit & Heisenberg limit, Measurement of Bell states, Classical and quantum correlations, No-cloning theorem, Nitrogen-vacancy centers in diamond