Abstract:
Nuclear Magnetic Resonance (NMR) has a wide range of applications in studying physical, chemical, biological, medical, and material sciences. NMR is a natural test-bed to study quantum information and has so far proven to be one of the most successful quantum information processors (QIP). The atomic nuclear spins in a bulk sample are treated as quantum bits (or qubits) which are the basic building blocks of a quantum computer. The development of NMR over half a century puts it in a platform where we can utilize its excellent control techniques over an ensemble of spin systems and perform quantum computation in a very precise way. NMR also provides a highly powerful quantum platform where many interesting quantum phenomena can be studied. This thesis investigates properties of nuclear singlets, their applications to QIP, quantum correlations, and quantum delayed choice.