People / current team

Stuart Hadfield

Senior Scientist. Quantum algorithms, constrained optimization, and complexity.

Stuart Hadfield studies quantum algorithms with an emphasis on constrained optimization, algorithm design, and complexity.

Scholarly output

Publications

Figure-derived thumbnail for A Parameter Setting Heuristic for the Quantum Alternating Operator Ansatz
2022
Open paper

A Parameter Setting Heuristic for the Quantum Alternating Operator Ansatz

James Sud, Stuart Hadfield, Eleanor Rieffel, Norm Tubman, Tad Hogg Physical Review Research, 6(2), 023171

Figure-derived thumbnail for Analytical Framework for Quantum Alternating Operator Ansätze
2022
Open paper

Analytical Framework for Quantum Alternating Operator Ansätze

Stuart Hadfield, Tad Hogg, Eleanor G Rieffel Quantum Science and Technology

2024
Open paper

Assessing and advancing the potential of quantum computing: A NASA case study

Eleanor G. Rieffel, Ata Akbari Asanjan, M. Sohaib Alam, Namit Anand, David E. Bernal Neira, Sophie Block, Lucas T. Brady, Steve Cotton, Zoe Gonzalez Izquierdo, Shon Grabbe, Erik Gustafson, Stuart Hadfield, P. Aaron Lott, Filip B. Maciejewski, Salvatore Mandrà, Jeffrey Marshall, Gianni Mossi, Humberto Munoz Bauza, Jason Saied, Nishchay Suri, Davide Venturelli, Zhihui Wang, Rupak Biswas Future Generation Computer Systems, 160, 598-618

2021
Open paper

Bounds on approximating Max $k$XOR with quantum and classical local algorithms

Kunal Marwaha, Stuart Hadfield Quantum 6, 757 (2022)

Figure-derived thumbnail for Characterizing local noise in QAOA circuits
2020
Open paper

Characterizing local noise in QAOA circuits

Jeffrey Marshall, Filip Wudarski, Stuart Hadfield, Tad Hogg SciNotes

Figure-derived thumbnail for Classical symmetries and the Quantum Approximate Optimization Algorithm
2021
Open paper

Classical symmetries and the Quantum Approximate Optimization Algorithm

Ruslan Shaydulin, Stuart Hadfield, Tad Hogg, Ilya Safro Quantum Information Processing

Figure-derived thumbnail for Design and execution of quantum circuits using tens of superconducting qubits and thousands of gates for dense Ising optimization problems
2023
Open paper

Design and execution of quantum circuits using tens of superconducting qubits and thousands of gates for dense Ising optimization problems

Filip B. Maciejewski, Stuart Hadfield, Benjamin Hall, Mark Hodson, Maxime Dupont, Bram Evert, James Sud, M. Sohaib Alam, Zhihui Wang, Stephen Jeffrey, Bhuvanesh Sundar, P. Aaron Lott, Shon Grabbe, Eleanor G. Rieffel, Matthew J. Reagor, Davide Venturelli arXiv preprint arXiv:2308.12423

Figure-derived thumbnail for Diagrammatic Analysis for Parameterized Quantum Circuits
2022
Open paper

Diagrammatic Analysis for Parameterized Quantum Circuits

Tobias Stollenwerk, Stuart Hadfield EPTCS 394, 2023, pp. 262-301

Figure-derived thumbnail for Encoding trade-offs and design toolkits in quantum algorithms for discrete optimization: coloring, routing, scheduling, and other problems
2022
Open paper

Encoding trade-offs and design toolkits in quantum algorithms for discrete optimization: coloring, routing, scheduling, and other problems

Nicolas PD Sawaya, Albert T Schmitz, Stuart Hadfield Quantum, 7, 1111

Figure-derived thumbnail for Ferromagnetically shifting the power of pausing
2020
Open paper

Ferromagnetically shifting the power of pausing

Zoe Gonzalez Izquierdo, Shon Grabbe, Stuart Hadfield, Jeffrey Marshall, Zhihui Wang, Eleanor Rieffel Physical Review Applied, 15(4), 044013

Figure-derived thumbnail for FOCQS: Feedback Optimally Controlled Quantum States
2024
Open paper

FOCQS: Feedback Optimally Controlled Quantum States

Lucas T Brady, Stuart Hadfield arXiv preprint arXiv:2409.15426

Figure-derived thumbnail for From ansätze to Z-gates: A NASA view of quantum computing
2019
Open paper

From ansätze to Z-gates: A NASA view of quantum computing

Eleanor G. Rieffel, Stuart Hadfield, Tad Hogg, Salvatore Mandrà, Jeffrey Marshall, Gianni Mossi, Bryan O'Gorman, Eugeniu Plamadeala, Norm M. Tubman, Davide Venturelli, Walter Vinci, Zhihui Wang, Max Wilson, Filip Wudarski, Rupak Biswas Future Trends of HPC in a Disruptive Scenario

Figure-derived thumbnail for From the quantum approximate optimization algorithm to a quantum alternating operator ansatz
2019
Open paper

From the quantum approximate optimization algorithm to a quantum alternating operator ansatz

Stuart Hadfield, Zhihui Wang, Bryan O'Gorman, Eleanor G Rieffel, Davide Venturelli, Rupak Biswas Algorithms

Figure-derived thumbnail for Imposing Constraints on Driver Hamiltonians and Mixing Operators: From Theory to Practical Implementation
2024
Open paper

Imposing Constraints on Driver Hamiltonians and Mixing Operators: From Theory to Practical Implementation

Hannes Leipold, Federico M Spedalieri, Stuart Hadfield, Eleanor Rieffel arXiv preprint arXiv:2407.01975

Figure-derived thumbnail for Improving Quantum Approximate Optimization by Noise-Directed Adaptive Remapping
2024
Open paper

Improving Quantum Approximate Optimization by Noise-Directed Adaptive Remapping

Filip B Maciejewski, Jacob Biamonte, Stuart Hadfield, Davide Venturelli Quantum, 9, 1906

Figure-derived thumbnail for Iterative Quantum Algorithms for Maximum Independent Set: A Tale of Low-Depth Quantum Algorithms
2023
Open paper

Iterative Quantum Algorithms for Maximum Independent Set: A Tale of Low-Depth Quantum Algorithms

Lucas T Brady, Stuart Hadfield arXiv preprint arXiv:2309.13110

Figure-derived thumbnail for Measurement-Based Quantum Approximate Optimization
2024
Open paper

Measurement-Based Quantum Approximate Optimization

Tobias Stollenwerk, Stuart Hadfield 2024 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW), 1115-1127

Figure-derived thumbnail for Noise-Directed Adaptive Remapping for Integer Optimization: from qubits to (encoded) qudits
2026
Open paper

Selected highlight

Noise-Directed Adaptive Remapping for Integer Optimization: from qubits to (encoded) qudits

Stuart Hadfield, Filip B. Maciejewski, Davide Venturelli arXiv preprint arXiv:2606.28234

Figure-derived thumbnail for On the representation of Boolean and real functions as Hamiltonians for quantum computing
2021
Open paper

On the representation of Boolean and real functions as Hamiltonians for quantum computing

Stuart Hadfield ACM Transactions on Quantum Computing

Figure-derived thumbnail for Optimized quantum simulation algorithms for scalar quantum field theories
2024
Open paper

Optimized quantum simulation algorithms for scalar quantum field theories

Andrew Hardy, Priyanka Mukhopadhyay, M. Sohaib Alam, Robert Konik, Layla Hormozi, Eleanor Rieffel, Stuart Hadfield, João Barata, Raju Venugopalan, Dmitri E. Kharzeev, Nathan Wiebe arXiv preprint arXiv:2407.13819

Figure-derived thumbnail for Optimizing quantum heuristics with meta-learning
2021
Open paper

Optimizing quantum heuristics with meta-learning

Max Wilson, Rachel Stromswold, Filip Wudarski, Stuart Hadfield, Norm M Tubman, Eleanor G Rieffel Quantum Machine Intelligence

Figure-derived thumbnail for Primitive Quantum Gates for Dihedral Gauge Theories
2022
Open paper

Primitive Quantum Gates for Dihedral Gauge Theories

M Sohaib Alam, Stuart Hadfield, Henry Lamm, Andy CY Li Physical Review D

Figure-derived thumbnail for Quantum-accelerated constraint programming
2021
Open paper

Quantum-accelerated constraint programming

Kyle EC Booth, Bryan O'Gorman, Jeffrey Marshall, Stuart Hadfield, Eleanor Rieffel Quantum

Figure-derived thumbnail for Quantum Alternating Operator Ansatz (QAOA) beyond low depth with gradually changing unitaries
2023
Open paper

Quantum Alternating Operator Ansatz (QAOA) beyond low depth with gradually changing unitaries

Vladimir Kremenetski, Anuj Apte, Tad Hogg, Stuart Hadfield, Norm M Tubman arXiv preprint arXiv:2305.04455

Figure-derived thumbnail for Quantum Alternating Operator Ansatz (QAOA) Phase Diagrams and Applications for Quantum Chemistry
2021
Open paper

Quantum Alternating Operator Ansatz (QAOA) Phase Diagrams and Applications for Quantum Chemistry

Vladimir Kremenetski, Tad Hogg, Stuart Hadfield, Stephen J Cotton, Norm M Tubman arXiv preprint arXiv:2108.13056

Figure-derived thumbnail for Quantum Approximate Optimization via Noise-Directed Adaptive Warm-Starting
2026
Open paper

Selected highlight

Quantum Approximate Optimization via Noise-Directed Adaptive Warm-Starting

Filip B. Maciejewski, Stuart Hadfield, Oscar Wallis, George Pennington, Sebastian Brandhofer, Stefan Woerner, Daniel J. Egger, Davide Venturelli arXiv preprint arXiv:2607.09368

Figure-derived thumbnail for Quantum Enhanced Greedy Solver for Optimization Problems
2023
Open paper

Quantum Enhanced Greedy Solver for Optimization Problems

Maxime Dupont, Bram Evert, Mark J. Hodson, Bhuvanesh Sundar, Stephen Jeffrey, Yuki Yamaguchi, Dennis Feng, Filip B. Maciejewski, Stuart Hadfield, M. Sohaib Alam, Zhihui Wang, Shon Grabbe, P. Aaron Lott, Eleanor G. Rieffel, Davide Venturelli, Matthew J. Reagor arXiv preprint arXiv:2303.05509

Figure-derived thumbnail for Quantum Optimization: Potential, Challenges, and the Path Forward
2023
Open paper

Quantum Optimization: Potential, Challenges, and the Path Forward

Amira Abbas, Andris Ambainis, Brandon Augustino, Andreas Baertschi, Harry Buhrman, Carleton Coffrin, Giorgio Cortiana, Vedran Dunjko, Daniel Egger, Bruce Elmegreen, Nicola Franco, Filippo Fratini, Bryce Fuller, Julien Gacon, Constantin Gonciulea, Sander Gribling, Swati Gupta, Stuart Hadfield, Raoul Heese, Gerhard Kircher, Thomas Kleinert, Thorsten Koch, Georgios Korpas, Steve Lenk, Jakub Marecek, Vanio Markov, Guglielmo Mazzola, Stefano Mensa, Naeimeh Mohseni, Giacomo Nannicini, Corey O'Meara, Elena Peña Tapia, Sebastian Pokutta, Manuel Proissl, Patrick Rebentrost, Emre Sahin, Benjamin Symons, Sabine Tornow, Víctor Valls, Stefan Woerner, Mira Wolf-Bauwens, Jon Yard, Sheir Yarkoni, Dirk Zechiel, Sergiy Zhuk, Christa Zoufal arXiv preprint arXiv:2312.02279

Figure-derived thumbnail for Self-consistent Quantum Iteratively Sparsified Hamiltonian method (SQuISH): A new algorithm for efficient Hamiltonian simulation and compression
2022
Open paper

Self-consistent Quantum Iteratively Sparsified Hamiltonian method (SQuISH): A new algorithm for efficient Hamiltonian simulation and compression

Diana B Chamaki, Stuart Hadfield, Katherine Klymko, Bryan O'Gorman, Norm M Tubman arXiv preprint arXiv:2211.16522

Figure-derived thumbnail for Two-Unitary Decomposition Algorithm and Open Quantum System Simulation
2023
Open paper

Two-Unitary Decomposition Algorithm and Open Quantum System Simulation

Nishchay Suri, Joseph Barreto, Stuart Hadfield, Nathan Wiebe, Filip Wudarski, Jeffrey Marshall Quantum