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Supervisor's Foreword; Abstract; Acknowledgments; Contents; Acronyms; 1 Introduction and Essential Physics; 1.1 Introduction; 1.2 Thesis Outline; 1.3 Quantum Mechanics; 1.3.1 States; 1.3.2 Measurements; 1.3.3 Time Evolution; 1.3.4 No-Cloning and Heisenberg Uncertainty; 1.3.5 Qubits; 1.3.6 Mixture; 1.3.7 Entanglement; 1.3.8 Bell Nonlocality; 1.4 Quantum Technologies; 1.4.1 Quantum Computing; 1.4.2 Quantum Communication; 1.4.3 Quantum Metrology; 1.5 Light; 1.5.1 Light as a Wave; 1.5.2 Light as a Photon; 1.5.3 Quantum Interference; 1.5.4 Interferometers; 1.5.5 Nonlinear Optics
1.6 Quantum Photonics1.6.1 Photons as Qubits; 1.6.2 Linear-Optical Quantum Computing; 1.6.3 Sources; 1.6.4 Detectors; 1.6.5 Integrated Quantum Photonics; References; 2 A Reconfigurable Two-Qubit Chip; 2.1 Introduction; 2.2 CNOT-MZ; 2.2.1 Silica-on-Silicon; 2.2.2 Directional Coupler; 2.2.3 Thermal Phaseshifter; 2.2.4 Linear-Optical CNOT-P Gate; 2.2.5 State Preparation; 2.2.6 Measurement; 2.2.7 CNOT-MZ Is Universal; 2.3 Experimental Setup; 2.3.1 Photon Pair Source; 2.3.2 Control, Automation and Readout; 2.3.3 Calibration; 2.4 On-Chip Quantum Interference; 2.5 Randomized Benchmarking
2.6 Quantum State Tomography2.6.1 Linear Reconstruction; 2.6.2 Maximum Likelihood Quantum State Tomography; 2.6.3 On-Chip Quantum State Tomography; 2.7 Quantum Process Tomography; 2.7.1 On-Chip Quantum Process Tomography; 2.8 Bell Inequality Manifold; 2.9 Generating and Characterising Mixture; 2.9.1 Errors in the CNOT-MZ; 2.10 Discussion; References; 3 A Quantum Delayed-Choice Experiment; 3.1 Introduction; 3.2 Young's Double Slit; 3.2.1 Wave-Particle Duality in the MZI; 3.2.2 Complementarity; 3.3 Wheeler's Delayed Choice Experiment; 3.4 Quantum Delayed Choice; 3.4.1 Experimental Setup
3.4.2 Results3.5 Device-Independent Tests of Wave-Particle Duality; 3.5.1 Results; 3.5.2 Discussion; References; 4 Entanglement and Nonlocality Without a Shared Frame; 4.1 Introduction; 4.2 Bell Tests Without a Shared Frame; 4.2.1 Theory; 4.2.2 Experiment; 4.3 Bell Tests Without Calibrated Devices; 4.3.1 Theory; 4.3.2 Experiment; 4.4 Discussion; 4.5 A Noise-Powered Entanglement Detector; 4.5.1 Experiment; 4.6 Discussion; 4.7 Statement of Work; References; 5 Quantum Chemistry on a Photonic Chip; 5.1 Introduction; 5.2 Simulating Quantum Mechanics; 5.3 Quantum Chemistry
5.3.1 Definition of the Problem5.3.2 Ansätze; 5.4 Quantum Simulators; 5.4.1 Quantum Simulation on a Digital Quantum Computer; 5.4.2 Limitations of Quantum Simulators; 5.5 Quantum Simulation Without Quantum Evolution; 5.5.1 Scheme; 5.5.2 Advantages; 5.5.3 Scaling; 5.5.4 Open Questions; 5.6 Experiment; 5.7 Discussion; 5.8 Statement of Work; References; 6 Increased Complexity; 6.1 Introduction; 6.2 Time-Correlated Single Photon Counting; 6.2.1 TCSPC Hardware; 6.2.2 DPC-230; 6.3 Multiphoton Quantum Interference; 6.3.1 Quantum Random Walks; 6.3.2 BosonSampling; 6.3.3 Experiment
1.6 Quantum Photonics1.6.1 Photons as Qubits; 1.6.2 Linear-Optical Quantum Computing; 1.6.3 Sources; 1.6.4 Detectors; 1.6.5 Integrated Quantum Photonics; References; 2 A Reconfigurable Two-Qubit Chip; 2.1 Introduction; 2.2 CNOT-MZ; 2.2.1 Silica-on-Silicon; 2.2.2 Directional Coupler; 2.2.3 Thermal Phaseshifter; 2.2.4 Linear-Optical CNOT-P Gate; 2.2.5 State Preparation; 2.2.6 Measurement; 2.2.7 CNOT-MZ Is Universal; 2.3 Experimental Setup; 2.3.1 Photon Pair Source; 2.3.2 Control, Automation and Readout; 2.3.3 Calibration; 2.4 On-Chip Quantum Interference; 2.5 Randomized Benchmarking
2.6 Quantum State Tomography2.6.1 Linear Reconstruction; 2.6.2 Maximum Likelihood Quantum State Tomography; 2.6.3 On-Chip Quantum State Tomography; 2.7 Quantum Process Tomography; 2.7.1 On-Chip Quantum Process Tomography; 2.8 Bell Inequality Manifold; 2.9 Generating and Characterising Mixture; 2.9.1 Errors in the CNOT-MZ; 2.10 Discussion; References; 3 A Quantum Delayed-Choice Experiment; 3.1 Introduction; 3.2 Young's Double Slit; 3.2.1 Wave-Particle Duality in the MZI; 3.2.2 Complementarity; 3.3 Wheeler's Delayed Choice Experiment; 3.4 Quantum Delayed Choice; 3.4.1 Experimental Setup
3.4.2 Results3.5 Device-Independent Tests of Wave-Particle Duality; 3.5.1 Results; 3.5.2 Discussion; References; 4 Entanglement and Nonlocality Without a Shared Frame; 4.1 Introduction; 4.2 Bell Tests Without a Shared Frame; 4.2.1 Theory; 4.2.2 Experiment; 4.3 Bell Tests Without Calibrated Devices; 4.3.1 Theory; 4.3.2 Experiment; 4.4 Discussion; 4.5 A Noise-Powered Entanglement Detector; 4.5.1 Experiment; 4.6 Discussion; 4.7 Statement of Work; References; 5 Quantum Chemistry on a Photonic Chip; 5.1 Introduction; 5.2 Simulating Quantum Mechanics; 5.3 Quantum Chemistry
5.3.1 Definition of the Problem5.3.2 Ansätze; 5.4 Quantum Simulators; 5.4.1 Quantum Simulation on a Digital Quantum Computer; 5.4.2 Limitations of Quantum Simulators; 5.5 Quantum Simulation Without Quantum Evolution; 5.5.1 Scheme; 5.5.2 Advantages; 5.5.3 Scaling; 5.5.4 Open Questions; 5.6 Experiment; 5.7 Discussion; 5.8 Statement of Work; References; 6 Increased Complexity; 6.1 Introduction; 6.2 Time-Correlated Single Photon Counting; 6.2.1 TCSPC Hardware; 6.2.2 DPC-230; 6.3 Multiphoton Quantum Interference; 6.3.1 Quantum Random Walks; 6.3.2 BosonSampling; 6.3.3 Experiment