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DOE OSTI · 2587875

Surrogate-constructed scalable-circuits adaptive variational quantum eigensolver in the Schwinger model

Gustafson, Erik [Universities Space Research Association, Mountain View, CA (United States)] (ORCID:0000000172175692)·Sherbert, Kyle [Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States). Center for Quantum Information Science and Engineering] (ORCID:0000000252586539)·Florio, Adrien [Brookhaven National Laboratory (BNL), Upton, NY (United States)] (ORCID:0000000272764515)·Shirali, Karunya [Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States). Center for Quantum Information Science and Engineering] (ORCID:0000000220062343)·Chen, Yanzhu [Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States). Center for Quantum Information Science and Engineering; Florida State Univ., Tallahassee, FL (United States)] (ORCID:0000000155899197)·Lamm, Henry [Superconducting and Quantum Materials System Center (SQMS), Batavia, IL (United States); Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)] (ORCID:0000000330330791)·Valgushev, Semeon [Iowa State Univ., Ames, IA (United States)] (ORCID:0000000243061423)·Weichselbaum, Andreas [Brookhaven National Laboratory (BNL), Upton, NY (United States)] (ORCID:0000000258323908)·Economou, Sophia E. [Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States). Center for Quantum Information Science and Engineering]·Pisarski, Robert D. [Brookhaven National Laboratory (BNL), Upton, NY (United States)] (ORCID:0000000278624759)·Tubman, Norm M. [NASA Ames Research Center, Moffett Field, CA (United States)]

Abstract

Inspired by recent advancements in simulating periodic systems on quantum computers, we develop an approach to further advance the simulation of these systems, named (SC) 2 -ADAPT-VQE. Our approach extends the scalable-circuits ADAPT-VQE framework, which builds an ansatz from a pool of coordinate-invariant operators defined for arbitrarily large, though not arbitrarily small, volumes. Our method uses a classically tractable “surrogate constructed” method to remove irrelevant operators from the pool, reducing the minimum size for which the scalable circuits are defined. Bringing together the scalable circuits and the surrogate constructed approaches forms the core of the (SC) 2 methodology. Our approach allows for a wider set of classical computations on small volumes, which can be used for a more robust extrapolation protocol. While developed in the context of lattice models, the surrogate construction portion is applicable to a wide variety of problems where information about the relative importance of operators in the pool is available. As an example, we use it to compute the properties of the Schwinger model—quantum electrodynamics for a single, massive fermion in 1 +1 dimensions—and show that our method can be used to accurately extrapolate to the continuum limit.

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BibTeXRIS

Gustafson, Erik [Universities Space Research Association, Mountain View, CA (United States)] (ORCID:0000000172175692), Sherbert, Kyle [Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States). Center for Quantum Information Science and Engineering] (ORCID:0000000252586539), Florio, Adrien [Brookhaven National Laboratory (BNL), Upton, NY (United States)] (ORCID:0000000272764515), Shirali, Karunya [Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States). Center for Quantum Information Science and Engineering] (ORCID:0000000220062343), Chen, Yanzhu [Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States). Center for Quantum Information Science and Engineering; Florida State Univ., Tallahassee, FL (United States)] (ORCID:0000000155899197), Lamm, Henry [Superconducting and Quantum Materials System Center (SQMS), Batavia, IL (United States); Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)] (ORCID:0000000330330791), Valgushev, Semeon [Iowa State Univ., Ames, IA (United States)] (ORCID:0000000243061423), Weichselbaum, Andreas [Brookhaven National Laboratory (BNL), Upton, NY (United States)] (ORCID:0000000258323908), Economou, Sophia E. [Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States). Center for Quantum Information Science and Engineering], Pisarski, Robert D. [Brookhaven National Laboratory (BNL), Upton, NY (United States)] (ORCID:0000000278624759), Tubman, Norm M. [NASA Ames Research Center, Moffett Field, CA (United States)]. 2025-06-02. Surrogate-constructed scalable-circuits adaptive variational quantum eigensolver in the Schwinger model. https://doi.org/10.1103/physrevapplied.23.064002

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