DOE OSTI · 2585601
Nonvariational ADAPT algorithm for quantum simulations
Abstract
We explore a nonvariational quantum state preparation approach combined with the ADAPT operator selection strategy in the application of preparing the ground state of a desired target Hamiltonian. In this algorithm, energy gradient measurements determine both the operators and the gate parameters in the quantum circuit construction. We compare this nonvariational algorithm with ADAPT-VQE and with feedback-based quantum algorithms in terms of the rate of energy reduction, the circuit depth, and the measurement cost in molecular simulation. We find that, despite using deeper circuits, this new algorithm reaches chemical accuracy at a similar measurement cost to ADAPT-VQE. Since it does not rely on a classical optimization subroutine, it may provide robustness against circuit parameter errors due to imperfect control or gate synthesis.
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Tang'S, Ho Lun [Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)], Chen, Yanzhu [Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States); Florida State Univ., Tallahassee, FL (United States)] (ORCID:0000000155899197), Biswas, Prakriti [Arizona State Univ., Tempe, AZ (United States)] (ORCID:0009000835408184), Magann, Alicia Bette [Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)] (ORCID:0000000214023487), Arenz, Christian [Arizona State Univ., Tempe, AZ (United States)] (ORCID:0000000179642468), Economou, Sophia E. [Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)] (ORCID:0000000219395589). 2025-06-17. Nonvariational ADAPT algorithm for quantum simulations. https://doi.org/10.1103/x8g1-7h1k
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