Diagonal state designs with reconfigurable real-time circuits
Year: 2025
Type: article
Abstract: Unitary designs are widely used in quantum computation, but in many practical settings it suffices to construct a diagonal state design generated with unitary gates diagonal in the computational basis. In this work, we introduce a simple and efficient diagonal state 3-design based on real-time evolutions under 2-local Hamiltonians. Our construction is inspired by the classical Girard-Hutchinson trace estimator in that it involves the stochastic preparation of many random-phase states. Though the exact Girard-Hutchinson states are not tractably implementable on a quantum computer, we can construct states that match the statistical moments of the Girard-Hutchinson states with real-time evolution. Importantly, our random states are all generated using the same Hamiltonians for real-time evolution, with the randomness arising solely from stochastic variations in the durations of the evolutions. In this sense, the circuit is fully reconfigurable and thus suited for near-term realizations on both digital and analog platforms. Moreover, we show how to extend our construction to achieve diagonal state designs of arbitrarily high order.
Source: Physical Review Research
DOI: 10.1103/nb7c-d6kk
Authors: Yizhi Shen, Katherine Klymko, Eran Rabani, Norm M. Tubman, Daan Camps, Roel Van Beeumen, Michael Lindsey
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,625
Funders: Materials Sciences and Engineering Division, U.S. Department of Energy, National Aeronautics and Space Administration, National Energy Research Scientific Computing Center, Office of Science, Ames Research Center, Basic Energy Sciences, Advanced Scientific Computing Research, Lawrence Berkeley National Laboratory
Awards: G1079818582, G1143651532, G122673668, G1265542407, G1286236842, G1286251239, G1632040200, G1677143136, G1799333409, G30714459, G3083819904, G3323326770, G419881185, G42916606, G4501827968, G498139845, G5076365615, G585908603, G5998132471, G650090426, G697302361, G716412294, G7354628648, G8623004658, G86560745, G969889393
OpenAlex ID: W4417267779