About Me


Hello and welcome to my website. I’m Elias, a Physics graduate student at the University of Oxford in Dr. Boon-Kok Tan's Superconducting Quantum Detectors Laboratory.

My research deals with designing quantum-limited amplifiers for applications across the mircowave and millimeter-wave bands (about 5-100 GHz). This technology finds use on telescope image sensors; in the measurement of single photons and quantum states; and in the search for axions, the proposed dark matter particle.

Previously, I worked at the University of California, Berkeley as a Research and Development Engineer in Irfan Siddiqi's Quantum Nanoelectronics Laboratory. There, I began designing the amplifiers I continue to study, and wrote my own quantum circuit compiler, Qdit, for systems with more than 2-levels.

Below you'll find my porfolio of projects. Professional inquiries may contact me at elias.lehman@physics.ox.ac.uk.
Resume | LinkedIn

Research


Graduate

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Qdit (Circuit Compiler)
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TWPA Modeling
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Efficient Clifford Sampling

Undergraduate

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

Summary Report
Circuit Mapping (Supplemental)
Decoherence (Supplemental)
IQC Internship
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This paper, written in the Summer of 2023 in collaboration with SLAC National Labs, was accepted to the Astrophysical Journal (APJ).

Preprint
Poster
SLAC Internship
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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.

Slides
Quantum Open Source Foundation - Adaptive Gradient Descent
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I delivered this poster presentation as a final deliverable for the Berkeley Physics Undergraduate Research scholarship.

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BPURS - Graphene Transistor Fabrication

Coursework


Electrical Engineering

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RISCV ASIC Lab Report
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The final report for EE230: analysis of an experiemental MoS2 transistor using models with a range of complexity.

Report
Solid State Electronics - Final Report
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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 (FCC) crystal lattice given the lattice Hamiltonian parameters. The used parameters are for the Galium-Arsenide crystal.

Notebook
EE230 - FCC Energy Level Simulation

Physics

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An enjoyed lab report from my final physics course. The report discussed introductory properties of chaos theory and non-linear dynamics.

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Adv. Exp. Phys. Lab Report
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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.

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QIS Final - Transmon Review

Food for Thought

Non-scientific essays about ontology and metaphysics