# Generation and Detection of Quantum Correlations and Entanglement on a Spin-Based Quantum Information Processor

## TL;DR

This thesis demonstrates experimental creation and detection of quantum correlations, including entanglement, on a spin-based quantum processor, developing resource-efficient, state-independent detection methods verified by quantum state tomography.

## Contribution

Developed novel, resource-efficient protocols for detecting quantum entanglement and correlations in multi-qubit states, applicable to mixed and separable states, verified through experimental implementation.

## Key findings

- Successfully detected entanglement in random two-qubit pure states
- Devised and implemented schemes for three-qubit state classification
- Investigated quantum correlations in mixed and separable states

## Abstract

This thesis focuses on the experimental creation and detection of a variety of quantum correlations using nuclear magnetic resonance hardware. Quantum entanglement, being most common and counter-intuitive, is one of the main type considered in this thesis. Quantum correlations play a major role in achieving, the much talked, computational speedup. Creation and detection of such correlations experimentally is a major thrust area in experimental quantum information processing field. Main goals of the studies undertaken in this thesis were to come up with strategies to detect the entanglement in a 'state-independent' way and with low experimental resources. The core of all the detection protocols is based on our own developed method which enables us to measure any observable with high accuracy. The experimental protocol has been successfully implemented to detect the entanglement of random two-qubit pure states. Further, the schemes for the experimental detection as well as classification of generic and general three-qubit pure states have also been devised and implemented successfully. Quantum correlation possessed by mixed and$/$or separable states e.g. non-classical, bound-entanglement and of non-local nature were also investigated. In all the investigations, the results were verified by one or more alternative ways e.g. full quantum state tomography.