Large-scale numerical simulations of the Hamiltonian dynamics of a Noisy Intermediate Scale
Quantum (NISQ) computer – a digital twin – could play a major role in developing efficient and
scalable strategies for tuning quantum algorithms for specific hardware. Via a two-dimensional
tensor network digital twin of a Rydberg atom quantum computer, we demonstrate the feasibil-
ity of such a program. In particular, we quantify the effects of gate crosstalks induced by the
van der Waals interaction between Rydberg atoms: according to an 8×8 digital twin simulation
based on the current state-of-the-art experimental setups, the initial state of a five-qubit repetition
code can be prepared with a high fidelity, a first indicator for a compatibility with fault-tolerant
quantum computing. The preparation of a 64-qubit Greenberger-Horne-Zeilinger (GHZ) state with
about 700 gates yields a 99.9% fidelity in a closed system while achieving a speedup of 35% via
parallelization.