Large-scale numerical simulations of the Hamiltonian dynamics of a noisy intermediate scale quantum 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 8×8 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 state with about 700 gates yields a 99.9% fidelity in a closed system while achieving a speedup of 35% via parallelization.

中文翻译：

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用于二维量子计算机基准测试的从头算树-张量-网络数字孪生


对嘈杂的中型量子计算机（数字孪生）的哈密顿动力学进行大规模数值模拟，可以在开发针对特定硬件调整量子算法的高效且可扩展的策略方面发挥重要作用。通过里德堡原子量子计算机的二维张量网络数字孪生，我们证明了这种程序的可行性。特别是，我们量化了由里德堡原子之间的范德华相互作用引起的栅极串扰的影响：根据基于当前最先进的实验装置的 8×8 数字孪生模拟，五个-可以以高保真度准备量子位重复码，这是与容错量子计算兼容性的第一个指标。具有约 700 个门的 64 量子位 Greenberger-Horne-Zeilinger 态的制备可在封闭系统中产生 99.9% 的保真度，同时通过并行化实现 35% 的加速。