Soley Research Group


University of Wisconsin-Madison

Department of Chemistry and Department of Physics-Affiliate

Wisconsin Quantum Institute and Chicago Quantum Exchange

Photo courtesy of EPNAC.com.

Group News

Twitter Feed

Research Areas

Quantum Computing and Tensor-Network Methods

A key problem in theoretical chemistry today is the “curse of dimensionality,” in which the cost of exact quantum dynamics simulations grows exponentially with dimensionality. This problem precludes standard grid-based quantum simulation of chemical systems with more than approximately six atoms. We are interested in adapting modern techniques from fields ranging from quantum information science to applied mathematics to address these issues. Main areas of focus include advancements based on novel quantum computing approaches and tensor-network (matrix product states) methods.  As part of this work, we are interested in developing new frameworks for quantum simulation and quantum computing algorithms based on tensor networks and examining their reciprocal implications for improved classical tensor-network algorithmic design. 

Ultracold Collisions and Parity-Time Reversal (PT) Symmetry

Quantum simulations of ultracold chemical reactions are essential to expedite the development of technologies such as ultracold molecular qubits, but are stymied by the fact that long wavelengths associated with low energies make ultracold collisions notoriously difficult to simulate. We recognize the surprising efficacy of classical approaches to aspects of many systems typically considered to be in the deep quantum regime to increase the accuracy and efficiency of ultracold chemical simulations.  In addition, we identify hidden connections between optics and quantum mechanics to yield tools to theoretically reveal fundamental quantum behaviors in cold atomic and molecular experiments, including the existence of long-sought-after bound states in the continuum and PT-symmetry behaviors in fundamental Schrödinger quantum mechanics.

Group Members

Micheline B. Soley

Principal Investigator

Research Interests: Quantum computing, data science, tensor-network methods, quantum reflection, scattering theory, ultracold chemistry, PT symmetry, and quantum control

Jingcheng Dai

PhD (Chemistry) Student

Research Interests: Quantum computing, algorithm design and development

Camerin Killion

PhD (Chemistry) Student

Research Interests: Quantum chemistry, quantum mechanics, abstract mathematics 

Atharva Vidwans

MSPQC (Master's Program in Physics-Quantum Computing) Student

Research Interests: Quantum computing, ultracold quantum chemistry, quantum algorithm development

Preetham Tikkireddi

MSPQC (Master's Program in Physics-Quantum Computing) Student

Research Interests: Quantum algorithms and simulations

Henry Lin

MSPQC (Master's Program in Physics-Quantum Computing) Student

Research Interests: Data science, quantum algorithms, simulation, machine learning, and quantum computing

Eric Wan

Undergraduate (Computer Science and Mathematics) Student

Research Interests: Quantum computing algorithms, theoretical computer science

Alexander Miller

High School Student

Research Interests: Quantum computing algorithms, quantum chemistry simulations

Shrikar Dulam

High School Student

Research Interests: Quantum computing, quantum algorithms and simulations, high energy physics

Alumni:

John Hawthorne (Master’s Student, Physics-Quantum Computing and Honorary Fellow, Chemistry → Washington University in St. Louis)

Jaden Coles (Undergraduate Student, Chemistry Research Specialist at the University of Wisconsin-Madison Department of Medical Microbiology & Immunology)

Rafeek Cherradi (High School Student Columbia University)

Publications

N. Lyu, P. Bergold, M. B. Soley, C. Wang, V. S. Batista, "Holographic Gaussian Boson Sampling with Matrix Product States on 3D cQED Processors," Journal of Chemical Theory and Computation (2024) accepted. 

https://doi.org/10.48550/arXiv.2403.16810

T. H. Kyaw,* M. B. Soley,* B. Allen, P. Bergold, C. Sun, V. S. Batista, A. Aspuru-Guzik, "Boosting quantum amplitude exponentially in variational quantum algorithms," Quantum Science and Technology, 9 (2024) 01LT01. 

http://dx.doi.org/10.1088/2058-9565/acf4ba 

M. B. Soley, D. D. Yavuz, "Quantum Simulator Based on the Paraxial Wave Equation,"  (2023) arXiv:2308.07388.

https://doi.org/10.48550/arXiv.2308.07388 

M. B. Soley, C. M. Bender, A. D. Stone, "Experimentally-realizable PT phase transitions in reflectionless quantum scattering," Physical Review Letters, 130 (2023) 250404.

https://doi.org/10.1103/PhysRevLett.130.250404 

Y. Wang, E. Mulvihill, Z. Hu, N. Lyu, S. Shivpuje, Y. Liu, M. B. Soley, E. Geva, V. S. Batista, S. Kais, "Simulating Open Quantum System Dynamics on NISQ Computers with Generalized Quantum Master Equations," Journal of Chemical Theory and Computation, 19 (2023) 4851-4862.

https://doi.org/10.1021/acs.jctc.3c00316 

C. Kang, M. B. Soley, E. Crane, S. M. Girvin, N. Wiebe, "Leveraging Hamiltonian Techniques to Compile Operations on Bosonic Devices," (2023) arXiv:2303.15542.

https://doi.org/10.48550/arXiv.2303.15542 

N. Lyu, E. Mulvihill, M. B. Soley, E. Geva, V. S. Batista, "Tensor-Train Thermo-Field Memory Kernels for Generalized Quantum Master Equations," Journal of Chemical Theory and Computation, 19 (2023) 1111-1129.

https://doi.org/10.1021/acs.jctc.2c00892 

Before University of Wisconsin-Madison

M. B. Soley,* P. E. Videla,* E. T. J. Nibbering, V. S. Batista, “Ultrafast Charge Relocation Dynamics in Enol - Keto Tautomerization Monitored with a Local Soft-X-Ray Probe,” Journal of Physical Chemistry Letters, 13 (2022) 8254-8263.

N. Lyu, M. B. Soley, V. S. Batista, “Tensor-Train Split Operator KSL (TT-SOKSL) Method for Quantum Dynamics Simulations,” Journal of Chemical Theory and Computation, 18 (2022) 3327-3346.

M. B. Soley, P. Bergold, A. Gorodetsky, V. S. Batista, “Functional Tensor-Train Chebyshev Method for Multidimensional Quantum Dynamics Simulations,” Journal of Chemical Theory and Computation, 18 (2022) 25-36.

M. B. Soley, P. Bergold, V. S. Batista, “Iterative Power Algorithm for Global Optimization with Quantics Tensor Trains,” Journal of Chemical Theory and Computation, 17 (2021) 3280-3291.

M. B. Soley, K. N. Avanaki, E. J. Heller, “Reducing anomalous reflection from complex absorbing potentials: A semiclassical approach,” Physical Review A, 103 (2021) L041301.

U. N. Morzan,* P. E. Videla,* M. B. Soley,* E. T. J. Nibbering, V. S. Batista, “Vibronic Dynamics of Photodissociating ICN from Simulations of Ultrafast X-Ray Absorption Spectroscopy,” Angewandte Chemie International Edition, 59 (2020) 20044-20048.

M. B. Soley, E. J. Heller, “Classical approach to collision complexes in ultracold chemical reactions,” Physical Review A, 98 (2018) 052702.

M. B. Soley, A. Markmann, V. S. Batista, “Classical Optimal Control for Energy Minimization Based on Diffeomorphic Modulation Under Observable-Response-Preserving Homotopy,” Journal of Chemical Theory and Computation, 14 (2018) 3351-3362.

M. Soley, A. Markmann, V. S. Batista, “Steered Quantum Dynamics for Energy Minimization,” Journal of Physical Chemistry B, 119 (2015) 715-727.

Active Collaborations

About Micheline B. Soley

Watch the Fall 2023 American Chemical Society Kavli Emerging Leader Lecture here: https://www.acs.org/meetings/acs-meetings/past-meetings/kavli-lecture-series/role-of-quantum-computing-and-data-compression-2023.html 

Photo courtesy of EPNAC.com.

Education

Yale University

Yale Quantum Institute Postdoctoral Fellow, 2020 - 2022

Department of Chemistry


Harvard University

Ph.D. in Chemical Physics, March 2020

A. M. in Chemistry, November 2016

Department of Chemistry and Chemical Biology


Max Born Institute

Fulbright Fellow, 2013-2014

Department of Dynamics of Condensed Phase Molecular Systems


Yale University

Intensive Bachelor of Science in Chemistry and Music, May 2013

Magna Cum Laude, Distinction in Both Majors

Awards

Academic Service

Outreach

Building workshops that provide hands-on experience with quantum computing in collaboration with Girls in Quantum, which serves more than 2000 students from 21 countries

Featured by online media outlets to encourage female participation STEM (Yale Society of Women Engineers and AZoQuantum [a member of a network of sites with a stated readership of 75 million])

Panelist for University of Wisconsin-Madison Women in Chemistry Women’s Careers in Academia Panel

Assisted development of creative tensions materials for community outreach

Firestarter for community discussion of quantum computing in the startup ecosystem


Bonus

I am a classical guitarist, singer, and piano player.

I also enjoy learning languages (Japanese, Spanish, German, French, and Italian).

「花さそふ比良の山風吹きにけりこぎ行く舟の跡見ゆるまで」宮内卿


Openings

Immediate Opening for a Postdoctoral Research Position in the Soley Research Group in the Department of Chemistry (Department of Physics-Affiliate) at the University of Wisconsin-Madison

The candidate should hold a PhD in chemistry, physics, applied mathematics, computer science, or a similar field. Applicants with a background in quantum computing algorithm development, theoretical or computational quantum dynamics, and/or quantum scattering theory in near-threshold systems are encouraged to apply. The Soley Research Group focuses on state-of-the-art research in quantum computing algorithms, ultracold chemistry, and atomic and molecular physics. Previous research areas have also included tensor network/matrix product states for highly multidimensional quantum mechanics and high performance computing/supercomputing for parallelized simulations of chaotic systems. Postdoctoral researchers will be paid a competitive stipend with benefits in accordance with University of Wisconsin-Madison policy and have opportunities to collaborate with theorists and experimentalists and participate in the greater quantum community via the group's affiliations with the Chicago Quantum Exchange and Wisconsin Quantum Institute. Interested applicants are invited to send a CV, statement of research interests, and contacts for three references via email to Micheline Soley.

Prospective graduate and undergraduate students are encouraged to contact Micheline Soley.