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Entropy, Fidelity, and Entanglement During Digitized Adiabatic Quantum Computing to Form a Greenberger-Horne-Zeilinger (GHZ) State.


ABSTRACT: We analyzed the accuracy of digitized adiabatic quantum computing to form the entangled three-qubit Greenberger-Horne-Zeilinger (GHZ) state on two IBM quantum computers and four quantum simulators by comparison with direct calculations using a Python code (version 3.12). We initialized three-qubit systems in the ground state of the Hamiltonian for noninteracting spins in an applied magnetic field in the x direction. We then gradually varied the Hamiltonian to an Ising model form with nearest-neighbor zz spin coupling with an eight-step discretization. The von Neumann entropy provides an indicator of the accuracy of the discretized adiabatic evolution. The von Neumann entropy of the density matrix from the Python code remains very close to zero, while the von Neumann entropy of the density

SUBMITTER: Jansen ND 

PROVIDER: S-EPMC12468138 | biostudies-literature | 2025 Aug

REPOSITORIES: biostudies-literature