About

My research deals with designing quantum-limited amplifiers for applications across the microwave and millimeter-wave bands, about 5-100 GHz. This technology finds use on ground-based telescopes; in the measurement of single photons and quantum states; and in the search for dark matter.

Previously, I worked at the Quantum Nanoelectronics Laboratory at UC Berkeley as a research and development engineer, where I designed amplifiers and wrote software for quantum computing.

Professional inquiries may contact me at elias.lehman@physics.ox.ac.uk.

Research

Selected graduate and undergraduate work in quantum hardware, quantum software, astrophysics, and related instrumentation.

Qdit (Quantum Circuit Compiler) - UC Berkeley

Quantum circuit compiler for systems with more than two levels.

Traveling-Wave Parametric Amplifier Modeling - UC Berkeley

Model derivation for parasitic SNAIL traveling-wave parametric amplifier behavior.

Efficient Clifford Sampling - UC Berkeley

Preprint on efficient Clifford sampling methods.

Selected Projects

Undergraduate Research

Institute for Quantum Computing Internship - University of Waterloo

While at the University of Waterloo's Institute for Quantum Computing, I wrote several supplemental reports to assist the Lupascu group in their research of superconducting qubits.

X-ray Redshift Regression - SLAC National Accelerator Laboratory

This paper, written in the summer of 2023 in collaboration with SLAC National Accelerator Laboratory, was accepted to the Astrophysical Journal (APJ).

Adaptive Gradient Descent - Quantum Open Source Foundation

A project done in winter 2022 with the Quantum Open Source Foundation. Our team implemented an adaptive gradient descent for hybrid quantum-classical computing using IBM's Qiskit library in Python.

Graphene Transistor Fabrication - Berkeley Physics Undergraduate Research Scholarship

I delivered this poster presentation as a final deliverable for the Berkeley Physics Undergraduate Research scholarship.

Coursework

Electrical Engineering

RISC-V Application-Specific Integrated Circuit Lab Report

Lab report from EECS151.

Solid State Electronics - Final Report

The final report for EE230: analysis of an experimental MoS2 transistor using models with a range of complexity.

Electrical Engineering 230 - Face-Centered Cubic Energy Level Simulation

A homework assignment for EE230: Solid State Electronics. The Python notebook solves the first 10 energy levels in different directions of a face-centered cubic crystal lattice. The used parameters are for Gallium arsenide.

Physics

Advanced Experimental Physics Lab Report

A lab report from my final physics course, discussing introductory properties of chaos theory and nonlinear dynamics.

Quantum Information Science Final - Transmon Review

The final project for CS191: Quantum Information Science and Technology. I worked on a synopsis of the transmon qubit, heavily inspired by the 2007 Koch et al. paper.

Essays

Non-scientific essays about ontology and metaphysics.

Food for Thought

Loading a philosophy quote…

A randomly selected note from my favorite authors.

Exploring Physical Interpretations of Temporal Reality

Non-scientific essay about ontology and metaphysics.

Determining Parfit's Selector

Non-scientific essay about ontology and metaphysics.