About

Dorota Grabowska is a Research Assistant Professor in the Department of Physics at the University of Washington. They hold a Ph.D. in Physics from the University of Washington, obtained in 2016, and a B.S. from the Massachusetts Institute of Technology, earned in 2010. Their fields of interest include Nuclear Theory, Particle Theory, and Quantum Information. Further details about their specific research contributions are not provided on the page.

Research topics

• Computer Science
• Physics
• Artificial Intelligence
• Political Science
• Mathematics
• Theoretical computer science
• Geography
• Particle physics
• Quantum mechanics
• Nuclear physics
• Engineering
• Aerospace engineering
• Geometry
• Mathematical optimization
• Mathematical physics
• Computer engineering

Selected publications

• Sequency Hierarchy Truncation (SeqHT) for Adiabatic State Preparation and Time Evolution in Quantum Simulations

  Quantum · 2025-09-29 · 3 citations

  articleOpen access

  We introduce the Sequency Hierarchy Truncation (SeqHT) scheme for reducing the resources required for state preparation and time evolution in quantum simulations, based upon a truncation in sequency. For the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>&amp;#x03BB;</mml:mi><mml:msup><mml:mi>&amp;#x03D5;</mml:mi><mml:mn>4</mml:mn></mml:msup></mml:math> interaction in scalar field theory, or any interaction with a polynomial expansion, upper bounds on the contributions of operators of a given sequency are derived. For the systems we have examined, observables computed in sequency-truncated wavefunctions, including quantum correlations as measured by magic, are found to step-wise converge to their exact values with increasing cutoff sequency. The utility of SeqHT is demonstrated in the adiabatic state preparation of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>&amp;#x03BB;</mml:mi><mml:msup><mml:mi>&amp;#x03D5;</mml:mi><mml:mn>4</mml:mn></mml:msup></mml:math> anharmonic oscillator ground state using IBM's quantum computer <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow class="MJX-TeXAtom-ORD"><mml:mtext mathvariant="monospace">ibm_sherbrooke</mml:mtext></mml:mrow></mml:math>. Using SeqHT, the depth of the required quantum circuits is reduced by <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mo>&amp;#x223C;</mml:mo><mml:mn>30</mml:mn><mml:mi mathvariant="normal">&amp;#x0025;</mml:mi></mml:math>, leading to significantly improved determinations of observables in the quantum simulations. More generally, SeqHT is expected to lead to a reduction in required resources for quantum simulations of systems with a hierarchy of length scales.

  PublisherOA PDFDOI

• Simulating Fully Gauge-Fixed SU(2) Hamiltonian Dynamics on Digital Quantum Computers

  arXiv (Cornell University) · 2025-12-28

  preprintOpen access

  Quantum simulations of many-body systems offer novel methods for probing the dynamics of the Standard Model and its constituent gauge theories. Extracting low-energy predictions from such simulations rely on formulating systematically-improvable representations of lattice gauge theory Hamiltonians that are efficient at all values of the gauge coupling. One such candidate representation for SU(2) is the fully gauge-fixed Hamiltonian defined in the mixed basis. This work focuses on the quantum simulation of the smallest non-trivial system: two plaquettes with open boundary conditions. A mapping of the continuous gauge field degrees of freedom to qubit-based representations is developed. It is found that as few as three qubits per plaquette is sufficient to reach per-mille level precision on predictions for observables. Two distinct algorithms for implementing time evolution in the mixed basis are developed and analyzed in terms of quantum resource estimates. One algorithm has favorable scaling in circuit depth for large numbers of qubits, while the other is more practical when qubit count is limited. The latter algorithm is used in the measurement of a real-time observable on IBM's Heron superconducting quantum processor, ibm_fez. The quantum results match classical predictions at the percent-level. This work lays out a path forward for two- and three-dimensional simulations of larger systems, as well as demonstrating the viability of mixed-basis formulations for studying the properties of SU(2) gauge theories at all values of the gauge coupling.

  PublisherDOI

• Simulating Fully Gauge-Fixed SU(2) Hamiltonian Dynamics on Digital Quantum Computers

  ArXiv.org · 2025-12-28

  articleOpen access

  Quantum simulations of many-body systems offer novel methods for probing the dynamics of the Standard Model and its constituent gauge theories. Extracting low-energy predictions from such simulations rely on formulating systematically-improvable representations of lattice gauge theory Hamiltonians that are efficient at all values of the gauge coupling. One such candidate representation for SU(2) is the fully gauge-fixed Hamiltonian defined in the mixed basis. This work focuses on the quantum simulation of the smallest non-trivial system: two plaquettes with open boundary conditions. A mapping of the continuous gauge field degrees of freedom to qubit-based representations is developed. It is found that as few as three qubits per plaquette is sufficient to reach per-mille level precision on predictions for observables. Two distinct algorithms for implementing time evolution in the mixed basis are developed and analyzed in terms of quantum resource estimates. One algorithm has favorable scaling in circuit depth for large numbers of qubits, while the other is more practical when qubit count is limited. The latter algorithm is used in the measurement of a real-time observable on IBM's Heron superconducting quantum processor, ibm_fez. The quantum results match classical predictions at the percent-level. This work lays out a path forward for two- and three-dimensional simulations of larger systems, as well as demonstrating the viability of mixed-basis formulations for studying the properties of SU(2) gauge theories at all values of the gauge coupling.

  PublisherOA PDF

• Fully gauge-fixed SU(2) Hamiltonian for quantum simulations

  Physical review. D/Physical review. D. · 2025-06-20 · 16 citations

  article1st authorCorresponding

  We demonstrate how to construct a fully gauge-fixed lattice Hamiltonian for a pure SU(2) gauge theory. Our work extends upon previous work, where a formulation of an SU(2) lattice gauge theory was developed that is efficient to simulate at all values of the gauge coupling. That formulation utilized maximal-tree gauge, where all local gauge symmetries are fixed and a residual global gauge symmetry remains. By using the geometric picture of an SU(2) lattice gauge theory as a system of rotating rods, we demonstrate how to fix the remaining global gauge symmetry. In particular, the quantum numbers associated with total charge can be isolated by rotating between the lab and body frames using the three Euler angles. The Hilbert space in this new ``sequestered'' basis partitions cleanly into sectors with differing total angular momentum, which makes gauge-fixing to a particular total charge sector trivial, particularly for the charge-zero sector. In addition to this sequestered basis inheriting the property of being efficient at all values of the coupling, we show that, despite the global nature of the final gauge-fixing procedure, this Hamiltonian can be simulated using quantum resources scaling only polynomially with the lattice volume.

  PublisherDOI

• New basis for Hamiltonian SU(2) simulations

  Physical review. D/Physical review. D. · 2024 · 43 citations

  • Computer Science
  • Mathematical physics
  • Physics

  Due to rapidly improving quantum computing hardware, Hamiltonian simulations of relativistic lattice field theories have seen a resurgence of attention. This computational tool requires turning the formally infinite-dimensional Hilbert space of the full theory into a finite-dimensional one. For gauge theories, a widely used basis for the Hilbert space relies on the representations induced by the underlying gauge group, with a truncation that keeps only a set of the lowest dimensional representations. This works well at large bare gauge coupling, but becomes less efficient at small coupling, which is required for the continuum limit of the lattice theory. In this work, we develop a new basis suitable for the simulation of an SU(2) lattice gauge theory in the maximal tree gauge. In particular, we show how to perform a Hamiltonian truncation so that the eigenvalues of both the magnetic and electric gauge-fixed Hamiltonian are mostly preserved, which allows for this basis to be used at all values of the coupling. Little prior knowledge is assumed, so this may also be used as an introduction to the subject of Hamiltonian formulations of lattice gauge theories. Published by the American Physical Society 2024

  PublisherOA PDFDOI

• Quantum simulations of lattice field thoeries

  2024-05-10 · 3 citations

  articleOpen access1st authorCorresponding

  The last several years have seen a massive resurgence of interest in the Hamiltonian simulation of relativistic lattice field theories from the nuclear and high energy physics community. This renewal has largely been driven by rapid advancements in quantum computing hardware and increased access to real quantum computers, not just simulators on classical machines. However, significant breakthroughs in hardware and software must occur to develop fault-tolerant quantum computers, which will most likely be necessary for simulations of physically-relevant nuclear systems. In the meantime, there are many theoretical and algorithmic roadblocks to overcome in order to implement gauge theories onto quantum computers. In this plenary, I present a broad overview of digital quantum simulation, including methods and status of current hardware architectures, followed by a description of the challenges faced when simulating lattice gauge theories on quantum computers.

  PublisherOA PDFDOI

• Sequency Hierarchy Truncation (SeqHT) for Adiabatic State Preparation and Time Evolution in Quantum Simulations

  arXiv (Cornell University) · 2024-07-18 · 1 citations

  preprintOpen access

  We introduce the Sequency Hierarchy Truncation (SeqHT) scheme for reducing the resources required for state preparation and time evolution in quantum simulations, based upon a truncation in sequency. For the $λϕ^4$ interaction in scalar field theory, or any interaction with a polynomial expansion, upper bounds on the contributions of operators of a given sequency are derived. For the systems we have examined, observables computed in sequency-truncated wavefunctions, including quantum correlations as measured by magic, are found to step-wise converge to their exact values with increasing cutoff sequency. The utility of SeqHT is demonstrated in the adiabatic state preparation of the $λϕ^4$ anharmonic oscillator ground state using IBM's quantum computer ${\textit ibm\_sherbrooke}$. Using SeqHT, the depth of the required quantum circuits is reduced by $\sim 30\%$, leading to significantly improved determinations of observables in the quantum simulations. More generally, SeqHT is expected to lead to a reduction in required resources for quantum simulations of systems with a hierarchy of length scales.

  PublisherOA PDFDOI

• A Fully Gauge-Fixed SU(2) Hamiltonian for Quantum Simulations

  arXiv (Cornell University) · 2024-09-16

  preprintOpen access1st authorCorresponding

  We demonstrate how to construct a fully gauge-fixed lattice Hamiltonian for a pure SU(2) gauge theory. Our work extends upon previous work, where a formulation of an SU(2) lattice gauge theory was developed that is efficient to simulate at all values of the gauge coupling. That formulation utilized maximal-tree gauge, where all local gauge symmetries are fixed and a residual global gauge symmetry remains. By using the geometric picture of an SU(2) lattice gauge theory as a system of rotating rods, we demonstrate how to fix the remaining global gauge symmetry. In particular, the quantum numbers associated with total charge can be isolated by rotating between the lab and body frames using the three Euler angles. The Hilbert space in this new `sequestered' basis partitions cleanly into sectors with differing total angular momentum, which makes gauge-fixing to a particular total charge sector trivial, particularly for the charge-zero sector. In addition to this sequestered basis inheriting the property of being efficient at all values of the coupling, we show that, despite the global nature of the final gauge-fixing procedure, this Hamiltonian can be simulated using quantum resources scaling only polynomially with the lattice volume.

  PublisherOA PDFDOI

• A new basis for Hamiltonian SU(2) simulations

  arXiv (Cornell University) · 2023-07-21

  preprintOpen accessSenior author

  Due to rapidly improving quantum computing hardware, Hamiltonian simulations of relativistic lattice field theories have seen a resurgence of attention. This computational tool requires turning the formally infinite-dimensional Hilbert space of the full theory into a finite-dimensional one. For gauge theories, a widely-used basis for the Hilbert space relies on the representations induced by the underlying gauge group, with a truncation that keeps only a set of the lowest dimensional representations. This works well at large bare gauge coupling, but becomes less efficient at small coupling, which is required for the continuum limit of the lattice theory. In this work, we develop a new basis suitable for the simulation of an SU(2) lattice gauge theory in the maximal tree gauge. In particular, we show how to perform a Hamiltonian truncation so that the eigenvalues of both the magnetic and electric gauge-fixed Hamiltonian are mostly preserved, which allows for this basis to be used at all values of the coupling. Little prior knowledge is assumed, so this may also be used as an introduction to the subject of Hamiltonian formulations of lattice gauge theories.

  PublisherOA PDFDOI

• Gravitational wave backgrounds from colliding exotic compact objects

  Physical review. D/Physical review. D. · 2023-08-14 · 13 citations

  articleOpen access

  Long-baseline atom interferometers offer an exciting opportunity to explore midband gravitational waves with frequencies of 1 mHz--10 Hz. In this work we survey the landscape of possible contributions to the total gravitational wave background from merging binary systems in this frequency band and advocate for targeting this observable. Such an approach is complimentary to searches for resolved mergers from individual sources and may have much to reveal about the Universe. We highlight that the inspiral phases of known stellar-mass compact binaries cumulatively produce a signal well within reach of the proposed AION-km and AEDGE experiments which will need to be accounted for in the gravitational wave programs of these experiments. We further show that hypothetical populations of dark sector exotic compact objects, harboring just a tiny fraction of the dark energy density, could generate signatures unique to gravitational wave detectors sensitive to subhertz frequencies, providing a novel means to probe complexity in the dark sector.

  PublisherOA PDFDOI

Frequent coauthors

• C. Bauer

  Lawrence Berkeley National Laboratory

  36 shared

• David B. Kaplan

  Johns Hopkins University

  34 shared

• Benjamin Nachman

  University of California System

  29 shared

• Christopher Kane

  University of Washington

  25 shared

• Kathryn M. Zurek

  6 shared

• Simon Knapen

  6 shared

• Maxwell T. Hansen

  5 shared

• Ahmet Coskuner

  University of California, Berkeley

  4 shared

Education

• Ph.D., Physics

  University of Washington

  2000

• M.S., Physics

  University of Washington

  1996

• B.S., Physics

  University of Warsaw

  1993