Coherent LQG Control, Free-Carrier Oscillations, Optical Ising Machines and Pulsed OPO Dynamics
arXiv:1608.07551
Abstract
Broadly speaking, this thesis is about nonlinear optics, quantum mechanics, and computing. More specifically, it covers four main topics: Coherent LQG Control, Free-Carrier Oscillations, Optical Ising Machines and Pulsed OPO Dynamics. Tying them all together is a theory of open quantum systems called the SLH model, which I introduce in Chapters 1-2. The SLH model is a general framework for open quantum systems that interact through bosonic fields, and is the basis for the quantum circuit theory developed in the text. Coherent LQG control is discussed in Chapters 3-4, where I demonstrate that coherent feedback outperforms measurement-based feedback for certain linear quadratic-Gaussian (LQG) problems, and explain the discrepancy by the former's simultaneous utilization of both light quadratures. Semiclassical truncated-Wigner techniques for quantum-optical networks are discussed in Chapter 5, leading to a thorough discussion of quantum noise in systems with free-carrier nonlinearities (Chapter 6), comparison to the Kerr nonlinearity, and potential applications for analog computing based on limit cycles and amplification (Chapters 7-8). Ising machines based on optical parametric oscillators (OPOs) are discussed in Chapters 9-10, the former focusing on large 1D and 2D networks of OPOs, and the latter on the dynamics of a single OPO in the ultrafast, synchronously-pumped regime. Optical properties and design considerations for silicon photonic waveguides are are treated in Chapter 11.
arXiv comment414 pages, 12 tables, 158 figures, 332 references. Stanford University PhD thesis. Readers: Harold Hwang, Surya Ganguli, Patrick Hayden
References in corpus (70)
- Cavity Optomechanics
- Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
- QuTiP: An open-source Python framework for the dynamics of open quantum systems
- Quantum nature of a strongly-coupled single quantum dot-cavity system
- Bright Coherent Ultrahigh Harmonics in the keV X-Ray Regime from Mid-Infrared Femtosecond Lasers
- Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
- Theory of ground state cooling of a mechanical oscillator using dynamical back-action
- Self-cooling of a micro-mirror by radiation pressure
- Negativity of the Wigner function as an indicator of nonclassicality
- Generation of a superposition of odd photon number states for quantum information networks
- Quantum control theory and applications: A survey
- Real-time quantum feedback prepares and stabilizes photon number states
- Ultra-Large-Scale Continuous-Variable Cluster States Multiplexed in the Time Domain
- Electro-optically tunable microring resonators in lithium niobate
- Octave-spanning frequency comb generation in a silicon nitride chip
- Network of Time-Multiplexed Optical Parametric Oscillators as a Coherent Ising Machine
- Wavelength-Multiplexed Quantum Networks with Ultrafast Frequency Combs
- Mid-infrared optical parametric amplifier using silicon nanophotonic waveguides
- Positive Wigner functions render classical simulation of quantum computation efficient
- A Coherent Ising Machine Based On Degenerate Optical Parametric Oscillators
- Quantum feedback control and classical control theory
- Boson Sampling for Molecular Vibronic Spectra
- Giant optical Faraday rotation induced by a single electron spin in a quantum dot: Applications to entangling remote spins via a single photon
- Adaptive homodyne measurement of optical phase
- Electric Field-Induced Second Order Nonlinear Optical Effects in Silicon Waveguides
- Controllable generation of highly nonclassical states from nearly pure squeezed vacua
- Large-scale Ising spin network based on degenerate optical parametric oscillators
- Coherent-feedback quantum control with a dynamic compensator
- Photonic Quantum Circuits with Time Delays
- Feedback cooling of a single trapped ion
- Coherent Quantum-Noise Cancellation for Optomechanical Sensors
- Squeezing Components in Linear Quantum Feedback Networks
- Network Synthesis of Linear Dynamical Quantum Stochastic Systems
- Density Operators for Fermions
- Designing quantum memories with embedded control: photonic circuits for autonomous quantum error correction
- Experimental feedback control of quantum systems using weak measurements
- Advantages of Coherent Feedback for Cooling Quantum Oscillators
- Time-delayed quantum feedback control
- Performance of cavity-parametric amplifiers, employing Kerr nonlinearites, in the presence of two-photon loss
- Quantum Filtering (Quantum Trajectories) for Systems Driven by Fields in Single Photon States and Superposition of Coherent States
- Quantum theory of Synchronously Pumped type I Optical Parametric Oscillators: characterization of the squeezed supermodes
- Capture and release of a conditional state of a cavity QED system by quantum feedback
- Dispersion engineered high-Q silicon Nitride Ring-Resonators via Atomic Layer Deposition
- Beating quantum limits in optomechanical sensor by cavity detuning
- Low-lying bifurcations in cavity quantum electrodynamics
- A 16-bit Coherent Ising Machine for One-Dimensional Ring and Cubic Graph Problems
- Enhancement of Field Squeezing Using Coherent Feedback
- Spatial homogeneity of optically switched semiconductor photonic crystals and of bulk semiconductors
- Coherent supercontinuum generation in a silicon photonic wire in the telecommunication wavelength range
- Coherent-feedback control strategy to suppress spontaneous switching in ultra-low power optical bistability
- Synthesis of linear quantum stochastic systems via quantum feedback networks
- Coherent controllers for optical-feedback cooling of quantum oscillators
- Reduced models and design principles for half-harmonic generation in synchronously-pumped optical parametric oscillators
- Remnants of semiclassical bistability in the few-photon regime of cavity QED
- Linear Amplifier Model for Optomechanical Systems
- Cavity-QED models of switches for attojoule-scale nanophotonic logic
- Nonlinear interferometry approach to photonic sequential logic
- Femtojoule-scale all-optical latching and modulation via cavity nonlinear optics
- Measurement-free topological protection using dissipative feedback
- Commutativity of the adiabatic elimination limit of fast oscillatory components and the instantaneous feedback limit in quantum feedback networks
- Comprehensive analysis of the optical Kerr coefficient of graphene
- On the qubit limit of cavity nonlinear optics
- Achieving ground state and enhancing entanglement by recovering information
- Derivation of Maxwell-Bloch-type equations by projection of quantum models
- Towards the theory of control in observable quantum systems
- Quantum Noise of Free-Carrier Dispersion in Semiconductor Optical Cavities
- Optomechanics (a brief review)
- Event Horizon Deformations in Extreme Mass-Ratio Black Hole Mergers
- Transformation of quantum photonic circuit models by term rewriting
- Gauge subsystems, separability, and robustness in autonomous quantum memories