Paper can be found here.
Dynamical signatures of symmetry protected topology following symmetry breaking
Paper can be found here.
Correlation-Assisted Quantized Charge Pumping
Full paper can be found here.
Quantum Hamiltonian-Based Models & the Variational Quantum Thermalizer Algorithm
We introduce a new class of generative quantum-neural-network-based models called Quantum Hamiltonian-Based Models (QHBMs). In doing so, we establish a paradigmatic approach for quantum-probabilistic hybrid variational learning, where we efficiently decompose the tasks of learning classical and quantum correlations in a way which maximizes the utility of both classical and quantum processors. In addition, we introduce the Variational Quantum Thermalizer (VQT) for generating the thermal state of a given Hamiltonian and target temperature, a task for which QHBMs are naturally well-suited.
Full paper can be found here.
Computer Vision for Hip Replacement Surgery
As the sole Imaging Engineer for medical device company JointPoint, I developed an image processing framework in C# to auto-place anatomical landmarks in intra-operative fluoroscopy images. Using techniques such as segmentation, adaptive thresholding, and non-maximum suppression edge detection, I created a program to automatically detect the femoral head, femoral canal, acetabulum, greater trochanter, pelvic reference line, and pelvic brim.
This work is being folded into software co-marketed by Johnson & Johnson subsidiary Depuy Synthes.
Comparison of fault-tolerant thresholds for planar qudit geometries
We introduce and analyze a new type of decoding algorithm called General Color Clustering (GCC), based on renormalization group methods, to be used in qudit color codes. The performance of this decoder is analyzed under depolarizing and generalized bit flip noise models, and is used to obtain the first fault-tolerant threshold estimates for qudit 6-6-6 color codes. The proposed decoder is compared with similar decoding schemes for qudit surface codes as well as the current leading qubit decoders for both sets of codes…
Wolfram Quantum Computing Framework
This Quantum Computing package, started during Wolfram Summer School 2017, enables the simulation of quantum circuits for qudit (generalized d-level quantum system). Using sparse arrays and lookup tables, this package efficiently stores quantum states, maintaining a unified structure for pure, mixed, and entangled quantum states… Continue reading “Wolfram Quantum Computing Framework”
QTop
QTop is an open-source python module for simulation and visualization of topological quantum codes. QTop is object-oriented and easy to read, facilitating the addition and assessment of new topological computing architectures, as well as the development of novel decoders.
Combinatorial Multigrid for Lattice Quantum Chromodynamics
Lattice Quantum Chromodynamics (LQCD) is a numerical approach to understanding the strong nuclear force, in which space and time are discretized into a 4D lattice. Calculating the quark propagator involves inverting sparse, roughly symmetric and diagonally dominant matrices with trillions of entries… Continue reading “Combinatorial Multigrid for Lattice Quantum Chromodynamics”
Examining the Effects of Simplified Neural Net Structure on Jet Identification
The summer after my freshman year at Yale, I worked under Tobias Golling in the Yale ATLAS High Energy Research Group. At CERN, particles are accelerated and collided in the Large Hadron Collider (LHC), forming “jets” of subatomic particles. In these collision events, each particle gives off unique signatures, which are measured by calorimeters, spectrometers, and magnets in the detector. Continue reading “Examining the Effects of Simplified Neural Net Structure on Jet Identification”