Simple Diagonal Designs with Reconfigurable Real-Time Circuits

Year: 2024

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 design based on real-time evolutions. Our construction is inspired by the classical Girard-Hutchinson trace estimator in that it involves the stochastic preparation of random-phase states. Although 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.

Source: OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)

Author: Shen, Yizhi [LBL, Berkeley]; Klymko, Katherine [LBL, Berkeley]; Rabani, Eran [LBNL, Berkeley; UC, Berkeley, Chem. Dept.; Tel Aviv U.]; Tubman, Norm M. [NASA, Ames]; Camps, Daan [LBL, Berkeley]; Van Beeumen, Roel [LBL, Berkeley]; Lindsey, Michael [UC, Berkeley, Math. Dept.]

Institution: Lawrence Berkeley National Laboratory

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: 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, High Energy Physics, Lawrence Berkeley National Laboratory

OpenAlex ID: W4405834879