Ab-initio tree-tensor-network digital twin for quantum computer benchmarking in 2D

• URL: http://arxiv.org/abs/2210.03763v3
• Date: Thu, 23 May 2024 12:51:14 GMT
• Title: Ab-initio tree-tensor-network digital twin for quantum computer benchmarking in 2D
• Authors: Daniel Jaschke, Alice Pagano, Sebastian Weber, Simone Montangero,
• Abstract summary: 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 strategies for tuning quantum algorithms for specific hardware. We quantify the effects of gate crosstalks induced by the van der Waals interaction between Rydberg atoms. 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.
• Score: 0.09999629695552195
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 feasibility 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$\times$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.

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