Patrick I. Draper

About

Professor Patrick I. Draper is an Associate Professor at The Grainger College of Engineering, University of Illinois Urbana-Champaign. He received his Ph.D. in Physics from The University of Chicago in 2011, following his B.S. from the University of Illinois in 2005. He held postdoctoral appointments at the University of California Santa Cruz and the University of California Santa Barbara, and a faculty appointment at the University of Massachusetts Amherst before joining the University of Illinois in 2018. His research focuses on theoretical high energy physics, with recent work centered on developing applications of quantum computing to theories and phenomena in high energy physics. His projects include building circuits for Hamiltonian simulation of lattice gauge theories, exploring new applications of quantum simulations to theories such as strong-field QED and quantum mechanical matrix models, developing qudit platforms, and creating algorithms to utilize quantum resources more efficiently.

Research topics

• Political Science
• Physics
• Computer Science
• Quantum mechanics
• Particle physics
• Geometry
• Engineering
• Nuclear physics
• Mathematical physics
• Law

Selected publications

• Quantum Simulation for High-Energy Physics

  PRX Quantum · 2023 · 298 citations

  It is for the first time that quantum simulation for high-energy physics (HEP) is studied in the U.S. decadal particle-physics community planning, and in fact until recently, this was not considered a mainstream topic in the community. This fact speaks of a remarkable rate of growth of this subfield over the past few years, stimulated by the impressive advancements in quantum information sciences (QIS) and associated technologies over the past decade, and the significant investment in this area…

  PublisherOA PDFDOI

• Imprints of the early Universe on axion dark matter substructure

  Physical review. D/Physical review. D. · 2020 · 51 citations

  Senior authorCorresponding

  Despite considerable experimental progress large parts of the axionlike particle (ALP) parameter space remain difficult to probe in terrestrial experiments. In some cases, however, small-scale structure of the ALP dark matter (DM) distribution is strongly enhanced, offering opportunities for astrophysical tests. Such an enhancement can be produced by a period of prenucleosynthesis early matter domination (EMD). This cosmology arises in many ultraviolet completions and generates the correct relic…

  DOI

• Remarks on the Cohen-Kaplan-Nelson bound

  Physical review. D/Physical review. D. · 2020 · 38 citations

  Senior authorCorresponding

  Cohen, Kaplan, and Nelson (CKN) conjectured that the UV and IR cutoffs of effective quantum field theories coupled to gravity are not independent, but are connected by the physics of black holes. We interpret the CKN bound as a scale-dependent depletion of the quantum field theory (QFT) density of states and discuss various aspects of the bound on small and large scales. For laboratory experiments, we argue that the bound provides small corrections to ordinary quantum field theory, which we esti…

  DOI

• A natural mechanism for approximate Higgs alignment in the 2HDM

  OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · 2024-11-25 · 13 citations

  articleOpen access1st authorCorresponding

  The 2HDM possesses a neutral scalar interaction eigenstate whose tree-level properties coincide with the Standard Model (SM) Higgs boson. In light of the LHC Higgs data which suggests that the observed Higgs boson is SM-like, it follows that the mixing of the SM Higgs interaction eigenstate with the other neutral scalar interaction eigenstates of the 2HDM should be suppressed, corresponding to the so-called Higgs alignment limit. The exact Higgs alignment limit can arise naturally due to a globa…

  PublisherOA PDFDOI

• Fast partitioning of Pauli strings into commuting families for optimal expectation value measurements of dense operators

  Physical review. A/Physical review, A · 2024-08-07 · 12 citations

  articleOpen accessSenior author

  The Pauli strings appearing in the decomposition of an operator can be can be grouped into commuting families, reducing the number of quantum circuits needed to measure the expectation value of the operator. We detail an algorithm to completely partition the full set of Pauli strings acting on any number of qubits into the minimal number of sets of commuting families, and we provide python code to perform the partitioning. The partitioning method scales linearly with the size of the set of Pauli…

  PublisherOA PDFDOI

Recent grants

• Exploring the Scalar Sector

  NSF · $120k · 2017–2019

• Exploring the Scalar Sector

  NSF · $122k · 2018–2021

Frequent coauthors

• Carlos E. M. Wagner

  47 shared

• Nathaniel Craig

  University of California, Santa Barbara

  39 shared

• Marcela Carena

  30 shared

• Kyoungchul Kong

  University of Kansas

  29 shared

• D. Whiteson

  27 shared

• Tao Liu

  University of Hong Kong

  26 shared

• Yvonne Ng

  St. Catherine University

  26 shared

• Jonathan Kozaczuk

  University of California, San Diego

  22 shared

Education

• Ph.D., Physics

  University of Chicago

  2011

Awards & honors

• Illinois physicists develop a new technique to model particl…

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